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
1.30
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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