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# Ratio & Proportion || 10.01.2021

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Question 1

If x : y = 3 : 4 then find (4x + 5y) : (5x – 2y).

Question 2

What is the ratio of the mean proportional between 4.5 and 0.5, and the third proportional to 4.5 and 9.0?

Question 3

A bag has Rs.71.75 in the form of 1-rupee, 50-paise and 25-paise coins in the ratio of 6:5:7. What is the total number of 50-paise coins?

Question 4

If 9a2-24ab+12b2 = 0 then, find a : b

Question 5

If the ratio of Income of A, B and C is 5:7:9 and their saving ratio is 3:4:5 and ratio of A’s income to A’s savings is 5:9. Find the ratio of total income of A, B & C’s income to total savings of all three.

Question 6

Income of A and B are in ratio 2:3 respectively. Income of A is increased by 40% and income of B is increased by 90%. What is the overall increase in their income?

Question 7

Find the fourth proportional to 14, 28 and 21.

Question 8

The difference in fare of an AC bus and a normal bus is Rs.225 and the ratio of the fare of normal bus to that of AC bus is 2:3. The no. of passengers travelling in AC bus are 20 less than that in the normal bus. If the total passengers travelling in normal bus are 50 then find the ratio of total fare collected by the conductor of an AC bus to that of normal bus.

Question 9

If (5x + 2y) : (10x + 3y) = 5 : 9, then (2x2 + 3y2) : (4x2 + 9y2) = ?

Question 10

The ratio of two numbers is 2 : 1. If each number is increased by 5, then the new ratio becomes 3 : 2. What is the sum of the numbers?
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