Question

The difference between the compound interest and the simple interest on a certain sum for 2 years at 5% per annum is Rs 1, then sum will be ​

Answer 1

Answer:

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Step-by-step explanation:

Let, Principal be Rs. x simple interest = S.I, compound interest = C.I Rate = 20% and Time (n) = 2 years.

⇒ Principal + C.I = Amount

⇒ Amount = P × [1+ (r/100)] n

⇒ Amount = x × [1 + (20/100)]2

⇒ Amount = (36x/25)

⇒ C.I = (36x/25) - x

⇒ C.I = (11x/25) ------ 1

⇒ S.I = (P × R × T)/100

⇒ S.I = (x × 20 × 2)/100

⇒ S.I = 2x/5 ------ 2

⇒ Given C.I - S.I = 58

⇒ Putting the value of C.I and S.I from 1 and 2 we have

⇒ (11x/25) - (2x/5) = 58

⇒ 11x - 10x = 58 × 25

∴ x = Rs. 1450