Question 95

# P invests Rs.3500 in a business. After 5 months, Q joins him with some investment. If the profit that Q gets is 50% more than that of P, then find the investment of Q.

Solution

$$Investment \times time period =profit$$

If time period is not specified in the question assume it as 12 months

Here in this question P invests Rs 3500 in 12 months (the time period of the investment not specified)

Q invest 'x' amount in 5 months

therefore,

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â PÂ  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Q

InvestmentÂ  Â  Â  Â  Â 3500Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â x

time periodÂ  Â  Â  Â  Â  Â 12Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  7Â  Â (Q invest after 5 months so 12-5=7 )

profit ratioÂ  Â  Â  Â $$3500 \times 12$$Â  Â  Â  Â :Â  Â  Â  Â  Â  Â  Â  Â  $$x \times 7$$

Â  Â  Â  orÂ  Â  Â  Â  Â  Â  Â  Â  6000Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  :Â  Â  Â  Â  Â  Â  Â  Â  Â x

profit that Q gets is 50% moreÂ  than pÂ

that is,Â  Â $$x=150 \div 100 \times 6000$$

Â  Â  Â  Â  Â  Â  Â  x=9000

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â

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