SSC MTS 2023 PYQ — Question 15

SSC MTS - 11 May 2023 - Shift 2 • Quantitative Aptitude • Q15

A and B started a business with Rs. 15000 and Rs. 30000 respectively. If A and B share profit in the ratio of 1 : 5 respectively, then what is the ratio of the time period of investment for A and B respectively?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 2 : 5.

Concept used:

Profit of A : Profit of B = (Investment of A × Time of A) : (Investment of B × Time of B)

Calculations:

Let the time of investment of A and B be X and Y respectively

The part of A's profit = 15000 × X

The part of B's profit = 30000 × Y

According to the question;

⇒ (15000 × X)/(30000 × Y) = 1/5

⇒ X/2Y = 1/5

⇒ X : Y = 2 : 5

Hence, the ratio of the time period of investment for A and B is 2 : 5.