Ayush and Babloo are partners in a business. Aayush contributes 1 / 4 of the capital for 15 months and Babloo received 2 /3 of the profit. How long Babloo’s money was used?

Explanation:

Let the total capital be Rs. x and Babloo’s money is used for y months

Capital of Aayush = x / 4

Capital of Babloo = (x− x\4)=3x\4

Ratio of investments of Aayush and Babloo

= (x\4 ×15):(3x\4 ×y)=15\4 : 3y\4=5:y

Ratio of profits of Aayush and Babloo

= 1\3 : 2\3=1:2

5\y=1\2

Hence y is 10 months

So Babloo’s money was used for 10 months.