Question

The simple interest on a certain sum of money at 4% per annum for 4 years is Rs.80 more than the interest on the same sum for 3 years at 5% per annum. Find the sum?

Answer 1

Principal = P

Simple interest = P *  4/100 * 4 years = 0.16 P

Compound interest = P * (1 + 5/100)³ = 1.157625 P - P = 0.157625 P

  Given,  0.16 P - 0.157625 P = Rs  225

            P = Rs 94,736. 84

Answer 2

Answer:

8000 rupees

Step-by-step explanation:

simple interest = P*T*R/100

CASE 1

P=p(not given), T=4 years, R=4%

S.I=p*t*r/100 => p*4*4/100 = 16p/100  -----------(1)

CASE 2

P=p(not given), T=3 years, R=5%

S.I=p*t*r/100 => p*3*5/100 = 15p/100  -----------(2)

To find Principle(P)

given, (1) - (2) =80

=> 16p/100 - 15p/100 = 80

=> 1p/100 =80

=>1p = 80*100

=>p = 8000 /- rupees.

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