X, Y and Z together started a travel agency. It was agreed that X would invest Rs. 6500 for 6 months, Y, Rs. 8400 for 5 months and Z, Rs. 10,000 for 3 months. X wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of Z in the profit.
Explanation:
For managing, X received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
Y's share = Rs. 7030 x 10/37
= Rs. 1900.