Question

If A invest Rs. 4000 and B invests Rs. 5000 and starts a Business. After 4 months A withdraws the amount of Rs. 1000. If total profit is Rs. 20,000 and A gets Rs. 16,000 then for how much time B invests his money in partnership if B withdraws his amount after some time.

Answer 1

B invested for 2 months

Step-by-step explanation:

Given,

Investment of A = 4000 rupees for 4 months and 3000 for 8 months  ( ∵ he withdraws the amount of Rs. 1000 after 4 months )

Investment of B = 5000

Consider B invested his money for x months,

We know that,

Profit is jointly proportional to time and investment,

Thus, the ratio of profits of A and B = 4 × 4000 + 8 × 3000 : x × 5000

= 16000 + 24000 : 5000x

= 40,000 : 5000x

= 8 : x

Now, total profit = 20,000

In which A's profit = 16,000

So, B's profit = 20,000 - 16000 = 4000

That is, the ratio of profits of A and B  =16000 : 4000 = 4 : 1

$\implies \frac{8}{x} = \frac{4}{1}$

$\implies x =\frac{8}{4}=2$

Hence, B invested for 2 months.

#Learn more:

Three friends a, b and c invested in a business with rs.10000, rs.15000 and rs.25000 respectively. After 3 months, c withdraws rs.5000 from his investment whereas a and b added rs.10000 and rs.5000 respectively. At the end of the year, the total profit in the business is rs.4600. Find the share (in rs.) of b in profit.

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