In a business, P , Q, and R are three partners. Thrice P's investment is equal to twice Q's investment and R's investment is equal to twice P's investment. Q's period of investment is (4/3) times P's period of investment and is twice R's period of investment. If the total profit at the end of the year is â¹ 52,000, find the sum of the shares of P and Q in the profit. (in â¹)

Question

In a business, P , Q, and R are three partners. Thrice P's investment is equal to twice Q's investment and R's investment is equal to twice P's investment. Q's period of investment is (4/3) times P's period of investment and is twice R's period of investment. If the total profit at the end of the year is â¹ 52,000, find the sum of the shares of P and Q in the profit. (in â¹) (A) 32,000 (B) 36,000 (C) 40,000 (D) 28,000

Tardigrade Admin · Accepted Answer

(i) Find the ratio of investments and the ratio of time periods.
(ii) Let P's investment be

₹ x

.
(iii) Now, find investments of

Q

and

R

in terms of

x

with the given data.
(iv) Let the time period of investment of

R

be

y

months.
(v) Now, find time periods of investment of

P

and

Q

.
(vi) Ratio of shares of profits is equal to the ratio of product of investments and investment periods.