SSC CPO 2019 PYQ — Question 105

SSC CPO Tier I - 12th December 2019 - Shift 2 • Quantitative Aptitude • Q105

A, B and C are partners in a business. A, whose capital has been used for 5 months, claims 1/7 of the profit. B whose capital has been used for 7 months, claims 1/5 of the profit. C has invested Rs.4,600 for 9 months. How much capital did A contribute?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. Rs.1800

Understanding Application
Tricks

According to the questions

A B C
a × 5 b × 7 4600 × 9
5a 7b 41400

 

Now

5a = 1/7

7b = 1/5

So

41400 = 1 - (1/7 + 1/5)

41400 = 23/35

Hence

1/7 = 41400 × 35/23 × 1/7

= 1800 × 35 × 1/7

= 1800 × 5

= 9000

Here

9000 = 5a

So

a = 9000/5

a = 1800