Question
P and Q began a business by investing Rs. 1000 and Rs.
‘y’ respectively. Q exited the business after 4 months. If P’s share out of a yearly profit of Rs. 6600 was Rs. 4400, then what is the value of ‘y’?Solution
ATQ,
Ratio of investment of P and Q = 1000 : y Ratio of profit share of P and Q = (1000 × 12) : (y × 4) = 12000 : 4y = 3000 : y So, 3000/(3000+y)×6600=4400 3000/(3000+y)=2/3 Cross-multiply: 3 × 3000 = 2 × (3000 + y) 9000 = 6000 + 2y 2y = 3000 → y = 1500 So, the value of ‘y’ is Rs. 1500.
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