A group of three friends A, B and C invest $100000 for business. ‘A’ invests $5000 more than B, and B invests $8000 more than C. Out of the total profit of $45000, calculate the share of A in total profit.

- $17700
- $15600
- $11550
- $35700

Option 1 : $17700

Free

NIACL Assistant Prelims 8 Sep 2018 Memory Based Paper

4607

100 Questions
100 Marks
60 Mins

Let amount invested by A, B and C be a, b and c respectively

Using conditions given in question,

As given in the question,

‘A’ invests $5000 more than B

a ‒ b = 5000

B invests $8000 more than C

b ‒ c = 8000

a + b + c = 100000

Solving above equations

a = $ 118000/3

b = $ 103000/3

c = $ 79000/3

a : b : c = 118 : 103 : 79 (taking ratio)

According to the investment distribution, we will calculate the profit distribution also.

∴ profit share of A = (118 × total profit)/(118 + 103 + 79)

= (118 × 45000)/300

∴ profit share of A = $17700

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