Question

Q. Uma, and Vishal entered into a partnership with respective investments of Rs. 14000, and Rs. 16000. After 3 months, Uma withdrew Rs. 5000 while Vishal invested Rs. 5000 more. After 3 more months passed, Wilson joined the business with a capital of Rs. 18000. The share of Vishal exceeds that of Wilson, out of a total profit of Rs. 39000 after one year by:

• A.
  Rs. 10750
• B.
  Rs. 9500
• C.
  Rs. 1250
• D.
  Data insufficient

Answer 1

The correct option is A

Rs. 10750
The profit is decided based on the investment amount throughout the year. Uma’s
investment for the first 3 months was 14000, and for the remainder of the year it was $14000–5000=9000$
Uma’s average investment for the year $=\frac{(3\times 14000)+(9\times 9000)}{12}=10250$
Similarly, Vishal’s average investment for the year $=\frac{(3\times 16000)+(9\times 21000)}{12}=19750$
Wilson’s average investment $=\frac{1}{2}\times 18000=9000$
The profit amounts will be the ratio $=10250:19750:9000$
$10250x+19750x+9000x=39000=>x=1$
Vishal’s share is more than Wilson’s share by $=19750–9000=Rs.10750$