Multiple choice

P and Q enters into a partnership with investment of Rs. 1400 and Rs. 1800 respectively. They share half of the profit equally for running the business and the remaining profit in the ratio of their investment. If the difference in their shares is Rs 47, what is the total profit ?

  1. 752

  2. 954

  3. 804

  4. 504

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Half the profit is shared equally, so each partner gets P/4 from this portion. The remaining half (P/2) is divided in the ratio of investments 1400:1800 = 7:9. P gets P/4 + 7P/32 = 15P/32, and Q gets P/4 + 9P/32 = 17P/32. The difference is P/16 = 47, so P = 752.