Question

Q9
Paul lent Rs. 1800 at 5% per annum and Rs. 2500 at 3% per annum to his friend Lisa. They both decided that Lisa will return the amount when the total simple
interest will become Rs. 660. Calculate the number of years in which Lisa will return the amount to Peter.
Ops: A.
O 3.6 years
B.
0 4.5 years
C.
O 3 years
0 4 years​

Answer 1

Given :-

• Rs.1800 is given at 5% per annum.
• Rs.2500 is given at 3% per annum.
• Total Simple interest earned = Rs.660 .

To Find :-

• Number of years for which money was given to lisa ?

Formula used :-

• Simple interest = (Principal * Rate * Time) / 100

Solution :-

Let us assume that, after T years Simple interest on both amount will becomes Rs.660 .

Than,

→ (SI on Rs.1800 at 5% for T years) + (SI on Rs.2500 at 3% for T years) = Rs.660

Putting all values in SI formula we get :-

→ {(1800 * 5 * T) / 100} + {(2500 * 3 * T) / 100} = 660

→ 90T + 75T = 660

→ 165T = 660

Dividing both sides by 165,

→ T = 4 Years. (Ans.) (Option D).

Hence, Lisa will return Both amount after 4 Years.