ratio and proportion problems and solutions for class 10

=  If (4a + 5b) (4c – 5d) = (4a – 5d) (4c + 5d), prove that a, b, c, d are in proportion. Understand the concept of ratio by going through problems involving reciprocal ratio, duplicate ratio, triplicate ratio and compounded ratio. (d) none of these, The third proportional to  and 5 is Three numbers are in the ratio  If the sum of their squares is 244, find the numbers. ICSE Class 10 Revision Notes. Solution : Weight of David = 29 kg. The ratio of the pocket money saved by Lokesh and his sister is 5 : 6. Find A : D. (ii) If P : Q = 6 : 7, Q : R = 8 : 9 find P : Q : R. Question 11. (ii) 3 : x = 24 : 2 =  = √64 = 8 (d), Find the compound ratio of: Here on AglaSem Schools, you can access to NCERT Book Solutions in free pdf for Maths for Class 6 so that you can refer them as and when required. ⇒ x =  × 4, ⇒ 4 (a), Question 10 If 8, 18, 18 and x are in proportion then find the value of x. (a) 4:6 ∵ x = 7 Ans. Question 8. Smaller number =  ICSE Class 10 Videos. A proportion is an equation relating two ratios. (i) 3 : 4 ⇒  (multiply by  ), (i) If  , Show that  And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Ratio And Proportion Problems Solutions For Class 7 . Applying componendo and dividendo, Using properties of properties,find x from the following equations : Given  Using componendo and dividendo find x : y. Give  Question 21. Example: The pressure in a piston is 2.0 atm at 25°C and the volume is 4.0L. = 27 : 64, Question 5 ⇒  Question 1: If are in continued proportion, prove that: . For more practice on Ratio and Proportion related problems /Questions / Exercise try to solve Ratio and Proportion exercise of other famous publications also such as Goyal Brothers Prakshan (RS Aggarwal ICSE)  / Concise Selina Publications Mathematics. and C’s share = 4x (a) 4 (iii) (a4 + c4) : (b4 + d4) = a2 c2 : b2 d2. If 8 is added to each number, the ratio becomes 2 : 3. No. Find the two numbers such that their mean proprtional is 24 and the third proportinal is 1,536. Let  =  = k, a, b, c, d are in continued proportion (iii) (a – b) : (a + b), (a + b)2 : (a2 + b2) and (a4 – b4) : (a2 – b2)2, (i) 2 : 3 and 4 : 9 Ratio and Proportion ICSE RS Aggarwal Goyal Brothers Class-10 Chapter-7 .RS Aggarwal ICSE Solutions of Ratio and Proportion Chapter 7. For instance if one package of cookie mix results in 20 cookies than that would be the same as to say that two packages will result in 40 cookies. Question 15. Ratios and Proportions Exercise 12.1 Class 6 Maths Questions with Solutions to help you to revise complete Syllabus and Score More marks. a, b, c, d, e are in continued proportion Intro to ratios. (a) 4 : 9 (i) What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional ? For more practice on Ratio and Proportion related problems … (iii)Â, (i) Reciprocal ratio of 4 : 7 = 7 : 4 If 2x – 1, 5x – 6, 6x + 2 and 15x – 9 are in proportion, find the value of x. ∵ 2x – 1, 5x – 6, 6x + 2 and 15x – 9 are in proportion. (d) 20 : 9, 4l : 900 ml, = 4000 ml : 900 ml, = 4000 : 900, = 40 : 9 (b), When the number 210 is increased in the ratio 5 : 7, the the new number is ⇒ 3a + 5n : 7a – 2b Question 3. a : b = 3 : 5 This math video tutorial provides a basic introduction into ratio and proportion word problems. We may define the ratio of two quantities as the quantitative relation between their two amounts that tells us the number of times one of these quantities contains the other. Let first number 6x, second 4x and third 3x Ratio proportion and variation formulas and properties Click Here. All the Exercise questions with solutions in Chapter-10 Ratio, Proportion and Unitary Method are given below: Exercise (Ex 10A) 10.1. (iii) 1.5, 2.5, 4.5 Divide Rs. ⇒  = k (say). Let  =  = k, If a, b, c are in continued proportion, prove that: Question 1. (a2 – b2) : (a2 + b2), Question 21. Multi-step ratio and percent problems Our mission is to provide a free, world-class education to anyone, anywhere. Solutions to some more involved ratio word problems Examples: 1. x² = 5 x 80 Therefore, number of ice-cream cones in the box = 8*6 = 48. 16 + x, 26 + x and 40 + x (i) (5a + 7b) (2c – 3d) = (5c + 7d) (2a – 3b) If  , using properties of proportion , show that x² – 2ax + 1 = 0, Given  Use componendo and dividendo to prove thatÂ, If  ⇒  : 5 :: 5 : x ICSE Solutions Selina ICSE Solutions. Sum of ratios = 7 + 9 Solution 210 Ratio and Proportion 6.4/16.4 Ans Frac 2/5. are in continued proportion. (ii) What least number must be added to each of the numbers 5, 11, 19 and 37, so that they are in proportion ? NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion. Find the original price of the first house. Solution : From the given ratio 16 : … Question 15. If each saves Rs 80 every month, find their monthly pocket money. (a) 2 : 1 Problem 3 : Find the ratio of the age of David to John. ⇒  If we solve this proportional statement, we get: 20/25 = ⅘. If the perimeter of the triangle is 360 cm, find the length of the longest side. 23 – x : 30 – x : : 57 – x : 78 – x. Here we have provided NCERT Exemplar Problems Solutions along with NCERT Exemplar Problems Class 6.. (ii) Duplicate ratio of √5 : 7 = (√5)2 : (7)2 = 5 : 49, (iii) Duplicate ratio of 5a : 6b = (5a)2 : (6b)2 = 25a2 : 36b2, Find the triplicate ratio of (i) The ratio is 8 : 7 If the increase in his income is Rs 600 per month, find his new income. Find: (i) The duplicate ratio of 7 : 9 (ii) The triplicate ratio of 3 : 7 (iii) The sub-duplicate ratio of 256 : 625 (iv) The sub-triplicate ratio of 216 : 343 (v) The reciprocal ratio of 8 : 15. (ii) If 3A = 4B = 6C, find A : B : C, (i) If  , Find x : y solve ratio problems explain why the process of finding equivalent ratios is important when we compare ratios (question 3, exercise 1) No Space to Spare. then reduced weight = 5x Find the … Had 8 more appeared, and 6 less passed, the ratio of passed to failures would have been 2 : 1. Solution: The ratio of first two terms is 20:30 = 2:3. (ii) The ratio of the number of boys to the number of girls in a school of 560 pupils is 5 : 3. In this section you can learn and practice Aptitude Questions based on "Ratio and Proportion" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, … a, (i)  Students are advised to solve these problems on a daily basis to score well in the annual exam. (iv) x : 50 :: 3 : 2, (i) 10 : 35 = x : 42 When two or more ratios are multiplied together, they are said to be compounded. Question 1. Free download of step by step solutions for class 10 mathematics chapter 7 - Ratio and Proportion (Including Properties and Uses) of ICSE Board (Concise - Selina Publishers). and number of failures = x These solutions for Ratio, Proportion And Unitary Method are extremely popular among Class 6 students for Math Ratio, Proportion And Unitary Method Solutions come handy for quickly completing your homework and preparing for exams. (a) 6 (iv)  and 7. How to Solve Ratio and Proportion Problems/Questions / Exercise of ICSE Class-10 Mathematics. So, converting […] If a : b with a ≠ b is the duplicate ratio of a + c : b + c, show that c2 = ab. 100, 80, 120 B. Detailed solutions and full explanations to ratio maths problems for grade 9 are presented. Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 7 Ratio and Proportion Ex 7.2 are helpful to complete your math homework. Before viewing Answer of Chapter-7 Ratio and Proportion of ML Aggarwal Solution. © Question from very important topics are covered by NCERT Exemplar Class 6.You also get idea about the type of questions and method to answer in your Class 6th … (a) 180:23 How much money did each receive? Solution: Take fourth proportion is ‘a’ Then 5 : 8 :: 20 : … Applying componendo and dividendo both sides, Given that . Find the number of candidates who appeared. (ii)  (ii) ) If a : b = 3 : 11, find (15a – 3b) : (9a + 5b). There are 600 pupils in a school. One of them is Ratio and proportion. What does her weight become if originally it was 91 kg. = √9 : √16 If 10 new boys are admitted, find how many new girls may be admitted so that the ratio of the number of boys to the number of girls may change to 3 : 2. and failed = 4x + 8 – 3x + 6 = x + 14 If a, b, c and d are in proportion, prove that: Learn and free practice of ratio and proportion (arithmetic aptitude) questions along with formulas, shortcuts and useful tips. ∵ y is the mean proportional between of faces = 6 (i) 1 : 216 = 294 (c), Two numbers are in the ratio 7 : 9. Four years hence it will be 3 : 2. Problem 3 : Find the inverse ratio of 12 : 13. (iii) 8.1 and 2.5 =  (b), The third proportional to  and 5 is and  ⇒ (i) If (4x² + xy) : (3xy – y²) = 12 : 5, find (x + 2y) : (2x + y). ⇒  Age of David : Age of John = 15 : 17. If a, b, c, d are in continued proportion, prove that: Filed Under: ICSE Tagged With: Proportion, Ratio, Ratio and Proportion, ICSE Previous Year Question Papers Class 10, Concise Mathematics Class 10 ICSE Solutions, Concise Chemistry Class 10 ICSE Solutions, Concise Mathematics Class 9 ICSE Solutions, SC Certificate | Format, Benefits, Validity and Application Process, Ownership Certificate | Format and Application Process of Ownership Certificate, Adoption Certificate | Required Documents and Format of Adoption Certificate, Plus Two Computer Application Chapter Wise Questions and Answers Chapter 5 Web Designing Using HTML, Plus Two Computer Application Chapter Wise Questions and Answers Chapter 4 Web Technology, CDA Certificate | Benifits, Eligibility and Application Process, Plus Two Computer Application Chapter Wise Questions and Answers Chapter 3 Functions, Health Certificate | Health Certificate for job and Format, Plus Two Computer Application Chapter Wise Questions and Answers Chapter 2 Arrays, Plus Two Computer Application Chapter Wise Questions and Answers Chapter 1 Review of C++ Programming, Plus Two Business Studies Previous Year Question Paper March 2019. Solved examples with detailed answer description, explanation are given and it would be easy to understand. (x + 5)² = (x + 2) (x + 9) Let x be added to each number then So that you can easily get the logic of … Understand the concept of ratio by going through problems involving reciprocal ratio, duplicate ratio, triplicate ratio and compounded ratio. The ratio of two numbers is 9 : 5. Date: August 7, 2017 Author: ICSE CBSE ISC Board Mathematics Portal for Students 0 Comments. ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 7 Ratio and Proportion Ex 7.3 Question 1. Ratio and Proportion Questions with Solutions | Quantitative Aptitude. We have provided step by step solutions for all exercise questions given in the pdf of Class 6 RS Aggarwal Chapter-10 Ratio, Proportion and Unitary Method. (i)Â, As a, b, c, are in continued proportion These solutions for Ratio And Proportion are extremely popular among Class 9 students for Math Ratio And Proportion Solutions come handy for quickly completing your homework and preparing for exams. Sum of ratios 7 + 5 + 3 = 15. Ratio and Proportion Class 6 Extra Questions Maths Chapter 12. x and z, then If 30 less had appeared and 20 less passed, the ratio of passes to failures would have been 5 : 1. ⇒  Get the formula of Ratio and Proportion for ICSE Class 10 Maths  to understand the topic more clearly in effective way. For example, To solve a problem involving ratios, you can often write a proportion and solve it by cross multiplication. Ratio review. (a) 45 (b) 60 (c) 80 (d) none of these 2. How many girls … Question 5. Weight of John = 31 kg (iii) 9a2 : 49b2, (i) Sub-duplicate ratio of 9 : 16 If (a + 3b + 2c + 6d) (a – 3b – 2c + 6d) = (a + 3b – 2c – 6d) (a – 3b + 2c – 6d), prove that a : b :: c : d. ⇒  (by altenendo) Using componendo-dividendo, we have, Using the properties of proportion, solve the following equation for x; given, If  , prove that each of these ratio is equal to  unless x + y + z = 0. x = k(b + c – a), (ma + nb): b :: (mc + nd) : d Learn Insta try to provide online math tutoring for you. Example: Ratio and Proportion ML Aggarwal Solutions ICSE Class-10 Chapter-7 . All questions and answers from the Rs Aggarwal Book of Class 6 Math Chapter 10 are provided here for you for free. The total number of students appeared = 4x + x = 5x NCERT Exemplar Class 6 Maths Book PDF Download Chapter 8 Ratio and Proportions Solutions Multiple Choice Questions (MCQs) Question 1: The ratio of 8 books to […] (b)  80, 90, 100 Now according to the condition. ⇒ 21x – 9x = 15y + 35y. Hence, the ratio of the age of David to John is . Complete your revision by practising Selina Solutions for ICSE Class 10 Mathematics Chapter 7 Ratio and Proportion (Including Properties and Uses). then (2x – 1) (15x – 9) = (5x – 6) (6x + 2). Ratio and Proportion Problems and Solutions for Class 7 – Divide sum of money among three persons when ratio are given. Find the lengths of sides. The quantities a, b, c and d are called the terms of the proportion; a, b, c and d are the first, second, third and fourth terms respectively. If the sister saves Rs 30 more, how much more the brother should save in order to keep the ratio of their savings unchanged? Find two numbers whose mean proportional is 16 and the third proportional is 128. If q is the mean proportional between p and r, prove that. (b)  (ii) √5 : 7 We can get the ratio of any two quantities by dividing them with each other until we get prime numbers on both the numerator and the denominator or at least on one of them. Let the two numbers are a and b. Learn Insta try to provide online math tutoring for you. (ii) If x : y = 2 : 3, and y : z = 4 : 7, find x : y : z, Let A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, (i) If A: B =  and B : C = , find A : B : C. (a2 – b2) : (a2 + b2), Find the third proportional to (i) Perimeter of a triangle = 30 cm. 15 to 17. Introduction to Proportion. (d)Â, The fourth proportion to 3, 4, 5 will be Problem 4 : If x : 2 and 5 : 6 are inverse to each other, find the value of "x" Solution : Because the given two ratios are inverse to each other, the product of the two ratios is equal 1. The ratio between two numbers is 3 : 4. so ⇒ mad = mbc a : b = 3 : 2. (d) 2, x, 12, 8, 32 are in proportion, then Applying componendo and dividendo (i) 5, 10 1 - Ratios & Proportions 1. (i) 2 : 3 Answer 19, ∵ a, b, c, d are in proportion then 3 : 12 :: 15 : x. Let original weight = 7x (ii)  and  How many cows are there on the farm? ICSE Class 10 Maths Ratio and Proportion. ⇒ x =  = 20 The ratio of pigs to cows to sheep on the farm is 2:4:7. Now according to the condition. ⇒Â. (b) 32 (iii)  (i) 3, 12, 15. Khan Academy is a 501(c)(3) nonprofit organization. Question 6. 45 minutes to :  hours, The ratio of 4 litres to 900 mL is Question 16. Why Aptitude Ratio and Proportion? b² = ac …(i) In level 1 , the problems ask for a specific ratio (such as, " Noah drew 9 hearts, 6 stars, and 12 circles. Given that x is positive. b is the mean proportional between a and c then Pagination. ⇒Â. Basic ratios. A ratio equivalent to the ratio  :  is (c) 294 If a, 12, 16 and b are in continued proportion find a and b. ∵ a, 12, 16, b are in continued proportion, then, What number must be added to each of the numbers 5, 11, 19 and 37 so that they are in proportion ? Let number of passed = 3 x Word Problems on Ratio and Proportion - onlinemath4all Solved examples with detailed answer description, explanation are given and it would be easy to understand. Hence a : b :: c : d. If (11a² + 13b²) (11c² – 13d²) = (11a² – 13b²)(11c² + 13d²), prove that a : b :: c : d. (11a² + 13b²) (11c² – 13d²) = (11a² – 13b²)(11c² + 13d²) ICSE Class 10 Revise. ICSE Class 10 Sample Papers and Solutions. (i) 9 : 16 You can buy 12 pens. (i) The monthly pocket money of Ravi and Sanjeev are in the ratio 5 : 7. 2, 6, p, 54 and q are in continued proportional then Total candidates appeared = 3x + x = 4x. =  or 8 : 27 NCERT Exemplar Class 6 Maths is very important resource for students preparing for VI Board Examination.  : First and fourth terms are called extremes (or extreme terms).  = k(say) Which is greater 4 : 5 or 19 : 25. (c) 9 : 40 Problem 5 : The ratio of the prices of two houses was 16 : 23. Find the compound ratio of the following: (i) If A : B = 4 : 5, B : C = 6 : 7 and C : D = 14 : 15. = 210 ×  = 3 : 4, Find the sub-triplicate ratio of By componendo and dividendo The ratio of boys to girls in this school is 3:5. Grade 6 Maths Ratio and Proportion Multiple Choice Questions (MCQs) 1. In addition, revise concepts like mean proportional, continued proportion, componendo, … (a4 – b4) : (a + b)4, (a + b)2 : (a – b )2 , In an examination, the ratio of passes to failures was 4 : 1. Ratio of milk and water =13 : 2 of candidates appeared = 4 x + 8 (ii)  :  Proportion Word Problems (solutions, examples, videos) #363870. Dividing each term by b. This is the aptitude questions and answers section on "Ratio and Proportion" with explanation for various interview, competitive examination and entrance test. (iii) 13 : 23, (i) Triplicate ratio of 3 : 4 (a) 150 For example, To solve a problem involving ratios, you can often write a proportion and solve it by cross multiplication. (a) 6 Find the fourth proportional to. Find the sub-duplicate ratio of Compound ratio =  x  Get ICSE Solutions for Class 10 Mathematics Chapter 8 Ratio and Proportion for ICSE Board Examinations on APlusTopper.com. It was decided to divide the money between an orphanage and a blind school in the ratio of 3 : 4. If you have any doubts, please comment below. (d) 144, Ratio in two number = 7 : 9 (ii) The income of a man is increased in the ratio of 10 : 11. Question 7. ∵ a : 28 : : 28 : b. use rouding to solve proportion problems. and third proportion = 128. and failed = x (b) 1 : 2 How much water must be added to this mixture to make the ratio of milk to water as 3 : 1 ? If q is the mean proportional between p and r, prove that: q is mean proportional between p and r ⇒ 30x + 6y = 30x + 150. Question 4. (c) 3 : 8 If you have any doubts, please comment below. If (3x² + 2y²) : (3x² – 2y²) = 11 : 9, find the value of  ; If , prove that each of these ratio is equal toÂ, — : End of Ratio and Proportion Solutions :–, Return to  ML Aggarwal Solutions for ICSE Class-10, ML Aggarwal Solutions Mensuration ICSE Class-10 Maths, Spectrum ICSE Class-10 Concise Physics Solutions Selina Publishers, Srijan Publications Cell Cycle and Cell division Textbook Solutions…, Introduction to Physics HC Verma Solutions Vol-1 Class-11 Physics Ch-1, OP Malhotra Linear Programming ISC Class-12 Maths Solutions Ch-28, OP Malhotra Linear Regression ISC Class-12 Maths Solutions Ch-27, OP Malhotra Application of Integrals ISC Class-12 Maths Solutions…, OP Malhotra Application of Calculus in Commerce and Economics ISC…, Privancy Policy | Sitemap | About US | Contact US, Ratio and Proportion ML Aggarwal Solutions ICSE Class-10, Ratio and Proportion ML Aggarwal Solutions for ICSE Maths Class 10th, Solution of ML Aggarwal Maths for Chapter 7- Ratio and Proportion, Goyal Brothers Prakshan (RS Aggarwal ICSE), formula of Ratio and Proportion for ICSE Class 10 Maths. (c)   Exercise – 7.1, Ratio and Proportion ML Aggarwal Solutions for ICSE Maths Class 10th, An alloy consists of  kg of copper and  kg of tin. Online Library Ratio And Proportion Problems Solutions For Class 7 = 10 : 18 : 24. Solution : Age of David = 15 years. (i) Find two numbers in the ratio of 8 : 7 such that when each is decreased by , they are in the ratio 11 : 9. (i) Let x be the third proportional to 5, 10, The ratio of boys to girls in this school is 3:5. Ratio and Proportion Class 6 Extra Questions Maths Chapter 12 Extra Questions for Class 6 Maths Chapter 12 Ratio and Proportion Ratio and Proportion Class 6 Extra Questions Very Short Answer Type Question 1. There are 65 more sheep than pigs. ∵ b is the mean proportional between a and c, then, Their expenditures are in the ratio 3 : 5. Question 1: If are in continued proportion… so ⇒ – x = – 7 ⇒ 1.5 : 4.5 = 3.5 : x ⇒ 1.5 × x = 3.5 4.5 ⇒ x = 10.5 Solution: Ratio and Proportion Exercise 7B – Selina Concise Mathematics Class 10 ICSE Solutions. Sum of numbers = 288 If they together earn Rs 18800 find the share of each. (d) 14:15, Answer 5 B’s share = 5x Example: If two pens cost $1.50, how many pens can you buy with $9.00? (i) Ratio between A, B and C = 7 : 5 : 4 (i)  xyz (x + y + z)³ = (xy + yz + zx)³. Applying componendo and dividendo, If (pa + qb) : (pc + qd) :: (pa – qb) : (pc – qd) prove that a : b : : c : d, (pa + qb) : (pc + qd) :: (pa – qb) : (pc – qd) According to condition. x × 32 = 12 × 8 (∵ ad = bc) Find the ratio of 75 cm to 1.5 m. Solution: The given numbers are not in the same units. Exercise 9A, Ratio and Proportion. (d) 6:23, ratio of 45 minutes to  hours is y = k(c + a – b), (iv) (la + mb) : (lc + mb) :: (la – mb) : (lc – mb), (i) a : b : : c : d Equivalent ratios: … Date: August 7, 2017 Author: ICSE CBSE ISC Board Mathematics Portal for Students 0 Comments. Along with ratio and proportion, there is one more important topic that you need to prepare and it is variation. 13. Therefor ⇒ ad = bc In math, an inverse proportion is when an increase in one quantity results in a decrease in another quantity. Learn and free practice of ratio and proportion (arithmetic aptitude) questions along with formulas, shortcuts and useful tips. Date: May 21, 2016 Author: ICSE CBSE ISC Board Mathematics Portal for Students 1 Comment. (iv) 9.6 kg, 7.2 kg, 28.8 kg, (i) Let fourth proportional to Find the ratio by weight of tin to the alloy, Find the compounded ratio of: If B got Rs 500 more than C, find the total sum divided. The quantitative aptitude section in any competitive exam has a variety of questions. Question 1: Express the following ratios in simplest form: FRANK ICSE Class 10 Maths Solutions Ratio and Proportion - Learn CBSE #363866. If x + 5 is the mean proportion between x + 2 and x + 9, find the value of x. ∵ x + 5 is the mean proportion between x + 2 and x + 9, then ICSE Solutions for Class 10 Mathematics – Ratio and Proportion. Question 6 : Divide ₹ 5000 among X , Y and Z in the ratio 1 : 2 : 7. (Opens a modal) Equivalent ratios. If 2, 6, p, 54 and q are in continued proportion, find the values of p and q. If the ratio x:y is equal to the ratio of a:b, then x,y, a,b are in proportion. (d) 8 : 3, No. Let x and y be two numbers ⇒ x =  = 3 The ratio of the shorter sides of a right angled triangle is 5 : 12. Using the properties of proportion, solve for x, given. ⇒ mad + nbd = mbc + nbd Our mission is to provide a free, world-class education to anyone, anywhere. Now if (ab + bc) is the mean proportional. Question 13. All questions and answers from the Mathematics Part I (solutions) Book of Class 9 Math Chapter 4 are provided here for you for free. What types of word problems can we solve with proportions? Question 10. Ratio and Proportion Class 6 Extra Questions Very Short Answer Type. (b) 5:7 ∴Â, (i)  If a, b, c, d are in continued proportion, prove that, Question 16. then 5 : 10 :: 10 : x, Find the mean proportion of: From the data calculate : (i) Gross Profit Ratio (ii) Net Profit Ratio (iii) Return on Total Assets. of passed = 3 x – 6 Complete your revision by practising Selina Solutions for ICSE Class 10 Mathematics Chapter 7 Ratio and Proportion (Including Properties and Uses). If there were 20 more boys and 12 less girls, then the ratio would have been 2 : 1, How many students were there in the class? = 6 : 4 : 3 Then find the numbers Archimedes, Hypatia and Zeno shared a sum of money.Archimedes received 1/6 of the money. Extra Questions for Class 6 Maths Chapter 12 Ratio and Proportion. Let A’s share = 7x

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