Three partners P, Q and R invested their amounts in ratio 2 : 5 : 7. At the end of six months P added some more amount such that his investment becomes equal to half of the sum of initial investment…

Question

Three partners P, Q and R invested their amounts in ratio 2 : 5 : 7. At the end of six months P added some more amount such that his investment becomes equal to half of the sum of initial investment of 'Q' and 'R'. If at the end of the year, Q's share in profit is Rs 425, then find the total profit.

PYQPulse · Accepted Answer

Rs. 1360

PYQPulse · Answer

Explanation: Let the amount invested by P, Q and R be 2x, 5x and 7x respectively and total profit be 'P'. Concept: profit is always distributed in proportion to the product of investment and time. Ratio of profit = 2x × 6 + 6x × 6 : 5x × 12 : 7x × 12 = 4 : 5 : 7. Q's share in profit = 5/16 × P = 425 ⇒ P = Rs. 1360. ∴ Required total profit = Rs. 1360.

Three partners P, Q and R invested their amounts in ratio 2 : 5 : 7. At the end of six months P added some more amount such that his investment becomes equal to half of the sum of initial investment of 'Q' and 'R'. If at the end of the year, Q's share in profit is Rs 425, then find the total profit.

Answer: E. Rs. 1360

Explanation

Three partners P, Q and R invested their amounts in ratio 2 : 5 : 7. At the end of six months P added some more amount such that his investment becomes equal to half of the sum of initial investment of 'Q' and 'R'. If at the end of the year, Q's share in profit is Rs 425, then find the total profit.

Answer: E. Rs. 1360

Explanation