Q started a business by investing Rs.2700. After sometime P joined him by investing Rs.3600, the share of the profit of P to that of Q after 14 months is 8:7. After how many months did P join the business?

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Solution

The correct option is C
2

$\frac{I n v e s t m e n t o f P \times t i m e o f i n v e s t m e n t o f P}{I n v e s t m e n t o f Q \times t i m e o f i n v e s t m e n t o f Q}$ = $\frac{P r o f i t o f P}{P t o f i t o f Q}$

Let the time of investment of Q be `x'

$\frac{3600 \times x}{2700 \times 14}$ = $\frac{8}{7}$

x = 12

So after 2 months P joined the business.

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Q started a business by investing Rs.2700. After sometime P joined him by investing Rs.3600, the share of the profit of P to that of Q after 14 months is 8:7. After how many months did P join the business?

The correct option is C 2 Investment of P ×time of investment of PInvestment of Q ×time of investment of Q= Profit of PPtofit of Q Let the time of investment of Q be `x' 3600 ×x2700×14 = 87 x = 12 So after 2 months P joined the business.