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Question 1. Asked on :24 December 2021:09:33:44 PM

#### Anil borrowed a certain sum from sunil for 2 years at simple interest.Anil lent this sum to mohit at the same rate for 2 years at compound interest .At the end of 2 years.Anil received ₹110 as compound interest but paid ₹ 100 as simple interest.Find the sum and rate of interest​

-Added by Master Mind Mathematics » Simple And Compound Interest

Master Mind

Explaination,

S.I and C.I for 1st year will be same

Compound Interest for 2 years = ₹110 (given)

S.I for 2 years = ₹100 (given)

S.I for 1st year = ₹50

C.I for 1st year = ₹50

C.I for 2nd year = ₹110 - ₹50 = ₹60

∴ S.I for 2nd year = ₹60 - ₹50 = ₹10

It means he paid ₹10 as interest on ₹50

S.I = ₹10, P = ₹50, t = 1 year R = ?

R = S.I x 100p x t

= 10 x 10050 x 1

= 20 %

Now, calculating the principle for 2 years

S.I = ₹100, R = 20%, t = 2 yaers

P = S.I x 100R x t

= 100 x 10020 x 2

= 5 x 50

= ₹250

So, Sum amount = ₹250 and rate = 20%

-Answered by Master Mind On 24 December 2021:09:34:47 PM(22126Average Rating Based on rating)

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