Question
‘X’ and ‘Z’ began a business with investments of
Rs. 5,500 and Rs. 11,000 respectively. After 5 months, ‘Y’ entered the business contributing Rs. 6,600. 7 months later, ‘Z’ withdrew his full capital. At the end of 24 months, if Y’s profit share is Rs. 1,320, what is the total profit share of X and Z?Solution
ATQ,
Ratio of profit shares of X, Y, and Z respectively = (5500 × 24) : (6600 × 19) : (11000 × 12) = 132000 : 125400 : 132000 = 44 : 41.8 : 44 (approx) → Let’s simplify directly: To make it simple, let's divide all by 11: = 12000 : 11400 : 12000 = 10 : 9.5 : 10 So, total parts = 10 + 9.5 + 10 = 29.5 Y’s share = 9.5 parts = Rs. 1,320 ⇒ 1 part = 1320 / 9.5 = Rs. 139. Sum of X and Z’s shares = (10 + 10) parts = 20 parts ⇒ 20 × 139 = Rs. 2,780
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