Question

A sum amounts to Rs. 6000 in 1year at 3% per annum simple interest. Find the sum.

Answer 1

Hint: Assume that the sum which will amount to Rs 6,600 in 4 years @ 8% per annum be P. Use the fact that the interest on an amount P for time t years at the rate of r% per annum is given by I=P×r×t100 and amount is given by A=I+P. Equate the amount to 6600 and hence form an equation in P. Solve for P. Hence find the sum which will amount to Rs 6,600 in the above-mentioned conditions.

Complete step-by-step answer:

Let the sum which will amount to Rs 6,600 in 4 years @ 8% per annum be P.

We know that the interest on the amount P for time t years @ r% per annum is given by I=P×r×t100

Hence, we have

I=P×8×4100=8P25

We know that the amount A is given by A=I+P

Hence, we have

A=8P25+P=33P25

But given that A = 6600

Hence, we have

33P25=6600

Multiplying both sides by 25, we get

33P=25×6600

Dividing both sides by 33, we get

P=25×660033=25×200=5000

Hence the sum which will amount to Rs 6,600 @ 8% per annum for 4 years at simple interest is Rs. 5000.

Hence option b is correct.

Note: Verification:

We have P = 5000, r = 8% and t = 4 years

Hence, we have

I=5000×8×4100=1600

Hence, we have A = P+I = 5000+1600 = Rs 6,600

Hence our answer is verified to be correct.

mark brainliest

Answer 2

Answer:

180 rupees intrest 6180rupees is sum

Step-by-step explanation:

(amount×time×intrest) ÷ 100

for simple intrest.

(6000×1×3)÷100 is 180

sum is 6180