Three friends A, B, C invested in a business in the ratio of $4 : 5 : 6$ . After $6$ months C withdraw half of his capital. If the sum invested by A is $48000$ , then the profit earned by C out of the total profit of $60000$

Open in App

Solution

Initial investment ratio $= 4 : 5 : 6$
Let the common invested amount be $x$ Rs.
sum invested by A,
$\Rightarrow 4 x = 48000$ .
$\Rightarrow x = 12000$ Rs.
Thus B invested $= 5 \times 12000 = 60000$
Thus C invested $= 6 \times 12000 = 72000$
Ratio in which the profit will be divide,
$= 48000 \times 12 : 60000 \times 12 : 72000 \times 6 + 36000 \times 6$
$= 8 : 10 : 9$ .
Total profit $= 60000$ Rs
So C's share $= \frac{9}{27} \times 60000 = 20000$ Rs.

Suggest Corrections

Similar questions

A, B

and

C

started a business where their initial capital was in the ratio of

4 : 5 : 6

. At the end of

8

months,

A

invested an amount such that his total capital became half to

C^{'}

s initial capital investment. If the annual profit of

B

is Rs.

7500

then what is the total profit ?

Q. Ramesh, Vivek and Sunil started a business by investing capitals in the ratio

4 : 5 : 6

. After

3

months Vivek withdrew all his capital and after

6

months Sunil withdrew all his capital from the business. At the end of the year Ramesh received Rs

6, 400

as profit. Find the profit earned by Vivek.

Q. A and B both start a business. Amount invested by B is one-third of that invested by A. Three months from the start of the business, A withdrew one-third of his investment and B tripled his investments. If from the total annual profit earned, A receives Rs. 1800 as his share of the profit, what was the total annual profit earned?

The capital invested by 3 people A, B and C are in the ratio of 1 : 2 : 3 and profit earned by A is ₹50 less than that earned by B. Calculate the total profit in the business.

The capital invested by 3 people A, B and C are in the ratio of 1: 2 : 3 and profit earned by A is Rs.50 less than that earned by B. Calculate the total profit in the business.

Join BYJU'S Learning Program

Three friends A, B, C invested in a business in the ratio of 4:5:6. After 6 months C withdraw half of his capital. If the sum invested by A is 48000, then the profit earned by C out of the total profit of 60000

Three friends A, B, C invested in a business in the ratio of $4 : 5 : 6$ . After $6$ months C withdraw half of his capital. If the sum invested by A is $48000$ , then the profit earned by C out of the total profit of $60000$