Question

P and Q start a business with initial investments in the ratio of 13:8 . Their corresponding annual profits are in the ratio of 7:5 . If P invested his money for 7 months, find the time period for which Q invested his money.

Answer 1

Q invested his money for 5 months

Answer 2

Answer:8.125 months

Step-by-step explanation:

Let amount invested by p and q is 13x and 8x.

As we know p invested money for 7 months and let q invest for t months .

So total investment by p= 13x*7=91x

And total investment of q=8x*t

according to the question

$</p><p>\frac{91x}{8x*t}=\frac{7}{5}\\\\455x=56x*t\\\\t=8.125</p><p>$

so q invested his money for 8.125 months.