SSC GD 2019 PYQ — Question 67

SSC GD Constable (English) - 18 Feb 2019 Shift 1 • Quantitative Aptitude • Q67

Mohit and Sumit started a business with investments of Rs. 74000 and Rs. 96000 respectively. If at the end of the year, they earn profit in the ratio of 5 : 8, then what will be the ratio of the time period for which they invest their money?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 30 : 37.

Let the time period that they invested be x and y years respectively.

(Investment of Mohit × Time)/(Investment of Sumit× Time) = Profit of Mohit/Profit of Sumit)

ATQ -

74x/96y = 5/8

⇒ x/y = (5 × 48)/(8 ×37)

⇒ x/y = 30/37

⇒ x : y = 30 : 37