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Three friends A, B and C started a business with 70000, 50000 and 60000 respectively. A withdrew 30000 after 7 months, B deposited 30000 after 9 months and C doubled his amount after a few months. Another friend, D invested 90000 two months before C doubled his amount. If the ratio of shares of C and D after one year is 7 : 3,if A earned 690 rupees in a year, what is the total profit that they earned after a year?

Three friends A, B and C started a business with 70000, 50000 and 60000 respectively. A withdrew 30000 after 7 months, B deposited 30000 after 9 months and C doubled his amount after a few months. Another friend, D invested 90000 two months before C doubled his amount. If the ratio of shares of C and D after one year is 7 : 3,if A earned 690 rupees in a year, what is the total profit that they earned after a year? Correct Answer 2580

GIVEN :

Three friends A, B and C started a business with 70000, 50000 and 60000 respectively.

If the ratio of shares of C and D after one year is 7 : 3

If A earned 690 rupees in a year.

 

FORMULA USED :

Profit = Investment x Time

 

ASSUMPTION :

Let the number of months after which C doubled his amount be x.

 

CALCULATION :

The ratio of investments by A, B, C and D are as follows:

70 × 7 + 40 × 5, 50 × 9 + 80 × 3, 60 × x + 120 × (12 – x), and 90(14 – x)

⇒ 690, 690, 1440 – 60x, and 1260 – 90 x

Given, the ratio of shares of C and D after one year is 7:3

⇒ (1440 - 60x) / (1260 – 90 x) = 7/ 3

⇒ x = 10

∴ The total profit earned by A, B, C and D is 690 + 690 + 1440 – 600 + 1260 – 900 = 2580

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