SSC CPO 2019 PYQ — Question 122

SSC CPO Tier I - 11th December 2019 - Shift 1 • Quantitative Aptitude • Q122

A, B and C enter into a partnership by investing their capital in the ratio of 2/5 : 3/4 : 4/8. After 4 months, A increased his capital by 50% but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2,82,100 at the end of the year.

Show answer & explanation

Correct answer: B

Explanation

Correct Answer is option 2 i.e. Rs. 101400

Understanding

A, B and C enter into a partnership by investing their capital in the ratio of 2/5 : 3/4 : 5/8

Application

According to the question:

Share in which the profit will be shared between A, B and C

= [2/5 × 4 + 2/5 × 1.5 × 8] : [3/4 × 4 + 3/4 × 0.8 × 8] : 5/8 × 12

= [8/5 + 24/5] : [3 + 4.8] : 7.5

= 6.4 : 7.8 : 7.5

= 64 : 78 : 75

Total profit = Rs. 2,82,100

So,

Share of B in the total profit

= 282100 × 78/(64 + 78 + 75)

= 282100 × 78/217

= Rs. 101400