SSC CGL 2020 PYQ — Question 69

SSC CGL - 4th March 2020 Shift 2 • Quantitative Aptitude • Q69

The income of A is 60% less than that of B, and the expenditure of A is equal to 60% of B’s expenditure. If A’s income is equal to 70% of B’s expenditure, then what is the ratio of the saving of A and B?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 2 : 15

Let the income of B be " 10x" 

Then, the income of A = 4x

Let the expenditure of B be "y"

Now, According to the question, 

⇒ 4x = 0.7 × y 

⇒ y = 40x / 7 -------------------------  eqn 1

Given, A's expenditure = 0.6 × (40x) / 7

 = 24x / 7

A's savings = 4x - (24x) / 7

 = 4x / 7

B's savings = 10x - (40x) / 7

 = 30x / 7

⇒ Ratio of A's savings to B's savings = 2 : 15