Question

Paul lent rs 1500 at 5% per annum and rs 2000 at 3%per annum

Answer 1

The complete question can be:

Paul lent Rs. 1500 at 5% per annum and Rs. 2000 at 3% per annum. Then in how many years, he will get an interest of Rs. 675 from his money?

Solution:

Let us consider that in T years, he will receive Rs. 675 interest.

Step 1.

Amount = Rs. 1500

Time = T years

Rate of interest = 5% p.a.

Interest = Rs. (1500 * T * 5) / 100

= Rs. 75T

Step 2.

Amount = Rs. 2000

Time = T years

Rate of interest = 3%

Interest = Rs. (2000 * T * 3) / 100

= Rs. 60T

Step 3.

Since he receives Rs. 675 as the total interest, then

75T + 60T = 675

or, 135T = 675

or, T = 5

Therefore, in 5 years he will receive Rs. 675 interest from his money.

Answer 2

Answer:

In 5 years he will receive Rs. 675 interest from his money.

Step-by-step explanation:

In this question,

Paul lent Rs.1500 at 5% per annum and Rs.2000 at 3% Per annum.

he gets 675Rs. as an Interest.

We need to find in what time does he will be able to get Rs.675

Let us consider that in T years, he will receive Rs. 675 interest.

Principle = Rs. 1500

Time = T years

Rate of interest = 5% p.a.

Interest = $\frac{Principle\times Rate\times Time}{100}$

Interest = $\frac{(1500\times T\times 5)}{100}$

            = Rs. 75T

Principle = Rs. 2000

Time = T years

Rate of interest = 3%

Interest = $\frac{Principle\times Rate\times Time}{100}$

Interest = $\frac{(2000\times T\times 3)}{100}$

= Rs. 60T

Since he receives Rs. 675 as the total interest, then

75T + 60T = 675

or, 135T = 675

or, T =$\frac{675}{135}$

or. T = 5years

Hence, in 5 years he will receive Rs. 675 interest from his money.