ICSE Class 10th Mathematics Chapter 7 - Ratio and Proportion Important Questions with Answers

You should focus on solving ICSE Class 10th Mathematics Chapter 7: Ratio and Proportion important questions, especially to help you score high marks. By solving ICSE Class 10th Mathematics 7 questions, you will be solving exam-oriented questions only.
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Prepare thoroughly with the most important questions of ICSE Class 10th Mathematics Chapter 7 - Ratio and Proportion. You can first cover the ICSE Class 10th Mathematics syllabus to understand the key topics and then start solving the ICSE Class 10th Mathematics Chapter 7 - Ratio and Proportion Important Question to get a better understanding of your preparation level. Start practicing now.

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Question 1.

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If a : b = 5 : 3, find : `(5a - 3b)/(5a + 3b)`.

Question 2.

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If x : y = 4 : 7, find the value of (3x + 2y) : (5x + y).

Question 3.

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If a : b = 3 : 8, find the value of `(4a + 3b)/(6a - b)`.

Question 4.

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If (a – b) : (a + b) = 1 : 11, find the ratio (5a + 4b + 15) : (5a – 4b + 3).

Question 5.

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Find the number which bears the same ratio to `7/33` that `8/21` does to `4/9`.

Question 6.

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If `(m + n)/(m + 3n) = 2/3`, find : `(2n^2)/(3m^2 + mn)`.

Question 7.

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Find `x/y`; when x2 + 6y2 = 5xy. 

Question 8.

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If the ratio between 8 and 11 is the same as the ratio of 2x – y to x + 2y, find the value of `(7x)/(9y)`.

Question 9.

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Divide Rs. 1290 in to A, B and C such that A is `2/5` of B and B : C = 4 : 3.

Question 10.

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A school has 630 students. The ratio of the number of boys to the number of girls is 3 : 2. This ratio changes to 7 : 5 after the admission of 90 new students. Find the number of newly admitted boys.

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Question 1.

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What quantity must be subtracted from each term of the ratio 9 : 17 to make it equal to 1 : 3?

Question 2.

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The monthly pocket money of Ravi and Sanjeev are in the ratio 5 : 7. Their expenditures are in the ratio 3 : 5. If each saves Rs. 80 every month, find their monthly pocket money.

Question 3.

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The work done by (x – 2) men in (4x + 1) days and the work done by (4x + 1) men in (2x – 3) days are in the ratio 3 : 8. Find the value of x.

Question 4.

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The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if:

  1. the original fare is Rs. 245;
  2. the increased fare is Rs. 207.

Question 5.

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By increasing the cost of entry ticket to a fair in the ratio 10 : 13, the number of visitors to the fair has decreased in the ratio 6 : 5. In what ratio has the total collection increased or decreased?

Question 6.

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In a basket, the ratio between the number of oranges and the number of apples is 7 : 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1 : 2. Find the original number of oranges and the original number of apples in the basket.

Question 7.

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In a mixture of 126 kg of milk and water, milk and water are in ratio 5 : 2. How much water must be added to the mixture to make this ratio 3 : 2?

Question 8.

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If A : B = 3 : 4 and B : C = 6 : 7, find:

  1. A : B : C
  2. A : C

Question 9.

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If A : B = 2 : 5 and A : C = 3 : 4, find: A : B : C.

Question 10.

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If 3A = 4B = 6C; find: A : B : C.

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