P and Q started a business by investing a total of ₹9,600. If P invested for m months less than Q, then find the value of m given that P's profit share is ₹2,400. Also, P invested ₹1,600 less than Q, and the total profit earned at the end of the year is ₹9,600.
A.6.4 months✓ Correct
B.2.6 months
C.5.4 months
D.4.5 months
Explanation
From Q+P=9600 and Q−P=1600, we get Q=5600, P=4000. Profit ratio 2400:7200 = 1:3, so (4000×(12−m))/(5600×12) = 1/3, giving 12−m=5.6, hence m=6.4 months.
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