Question

The ratio of investment of A:B is 8:7 and the ratio of year end profits is 20:21. If B invested for 12 months,then find the period of investment then
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Answer 1

Answer:

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Answer 2

Answer:

The period of investment of A is 10 month.

Step-by-step explanation:

Ratio of investment by A to B =

$8:7$

Ratio of profit of A to B =

$20:21$

B invested his money for 12 month

Let A invested the money for x months

According to the question,

$\frac{8 \times x}{7 \times 12} = \frac{20}{21}$

By cross multiplication,

$8 \times x \times 21 = 7 \times 12 \times 20$

$x = \frac{7 \times 12 \times 20}{8 \times 21}$

$x = 10$

So, The period of investment of A is 10 month.