Three friends Sumesh, Vikas, and Rishi started a business with their monthly investment in the ratio of 2 : 3 : 4. After 4 months, Sumesh invested the same amount as before, and Vikas and Rishi, did only half of their investment. Find the ratio of their profit at the end of year?
Correct Answer : b ) 3 : 3 : 4Explanation :
The ratio of investment of Sumesh, Vikas and Rishi = 2 : 3 : 4
Let us take the initial monthly investment be 2x, 3x, and 4x
After 4 months investment will be
Investment of Sumesh = 4 * 2x = 8x
Investment of Vikas = 4 * 3x = 12x
Investment of Rishi = 4 * 4x = 16x
After 4 months Sumesh invests the same amount as before and Vikas and Rishi withdrew half of their investment.
Total investment after 12 months,
Ratio of profit sharing at the end of year = Ratio of total investment
= 24x : 24x : 32x = 3 : 3 : 4
Hence, (b) is the correct answer.
This question is based on the concept of partnership and the ratio and proportion.