SSC CGL 2017 PYQ — Question 24

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q24

A and B start an enterprise together, with A as active partner. A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months. Being the active partner, A takes Rs 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs 6700?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. Rs. 2700

Understanding

Application

A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months.

So,

Ratio in which profit will be shared between A and B

= [4000 × 8 + 6000 × 4] : [5000 × 9 + 3000 × 3]

= 56 : 54

= 28 : 27

Being the active partner, A takes Rs 100 per month as allowance, from the profit.

And

Total profit = Rs 6700

So,

Remaining profit that will be shared between A and B

= 6700 – 100 × 12

= 5500

 

Hence,

Share of B = 5500 × 27/55

= Rs. 2700