Given: Investment of Saima = Rs. 1,60,000
Investment of Shifa = Rs. 48,000
Ratio of their profits = 5 : 1
Concept used: The Profit is directly proportional to Amount invested multiplied by Time period
Calculation: Let the time period for Shifa be x months
Investment of Saima = Rs. 1,60,000
Time period of Saima’s investment = 12 months
Total amount invested by Saima in 12 months = Rs. 1,60,000 × 12
⇒ Rs. 19,20,000
Now, investment of Shifa = Rs. 48,000
Time period of Shifa’s investment = x months
Total amount invested by Shifa in x months = Rs. 48,000x
Now, as we know that the profit is directly proportional to the amount invested
And the ratio of their profit = 5 : 1
So,
=
⇒ 5x = 40
⇒ x = 8
Shifa’s investing time period = 8 months
Now, Percentage of Shifa’s time period of Saima’s time period
⇒
() × 100%
⇒
%
∴ The time period of Shifa is 200/3% of Saima’s time period.