Question

Q17 The simple interest on a certain sum for 2 years at 10% per annum is rupess 95 less than the simple interest on the same sum for 5 years at 9% per annum.Find the sum​

Answer 1

Answer:

Principal amount = Rs 380

Step-by-step explanation:

Simple Interest = Principal amount*rate of interest*time

Let Principal amount be Rs P

CASE 1

Simple Interest = Principal amount*rate of interest*time

Principal amount = P

Rate of Interesr = 10% pa = 0.1

Time =2 years

I=P*0.1*2

I=0.22P

CASE 2

Simple Interest = Principal amount*rate of interest*time

Principal amount = P

Rate of Interesr = 9% pa = 0.9

Time = 5 years

I=P*0.9*5

I=0.45P

Simple interest for case 1 is Rs95 less than simple interest for case 2

So, 0.45P-0.22P=95

P=95/0.23

P=Rs 380