# Ratio and Proportion

## Ratio and Proportion

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 Question 1
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
 A Rs. 500 B Rs. 1500 C Rs. 2000 D None of these
Question 1 Explanation:
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, 4x - 3x = 1000 x = 1000. B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
 Question 2
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
 A Rs. 17,000 B Rs. 20,000 C Rs. 25,500 D Rs. 38,000
Question 2 Explanation:
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively. Then, (2x + 4000)/(3x + 4000) =40/57 ==>57(2x + 4000) = 40(3x + 4000) ==> 6x = 68,000 ==> 3x = 34,000 Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.
 Question 3
If 0.75 : x :: 5 : 8, then x is equal to:
 A 1.12 B 1.2 C 1.25 D 1.3
Question 3 Explanation:
(x x 5) = (0.75 x 8) ==> x =(6/5)= 1.20
 Question 4
If Rs. 782 be divided into three parts, proportional to 1/2 :2/3 :3/4 , then the first part is:
 A Rs. 182 B Rs. 190 C Rs. 196 D Rs. 204
Question 4 Explanation:
Given ratio = 1/2 :2/3 :3/4 = 6 : 8 : 9. 1st part = Rs. (782 x 6/23)= Rs. 204
 Question 5
The fourth proportional to 5, 8, 15 is:
 A 18 B 24 C 19 D 20
Question 5 Explanation:
Let the fourth proportional to 5, 8, 15 be x. Then, 5 : 8 : 15 : x ==> 5x = (8 x 15) x =(8 x 15)/5= 24.
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