Question

find the amount and CI on rupees 12800 for 1 year at 7whole1 by 2% per annum compounded semiannually

Answer 1

Answer:

The Amount is ₹ 13778 & compound Interest is ₹978.

Step-by-step explanation:

SOLUTION :  

Given :  

Principal, P = ₹ 12800

Time , n =1 yr =1×2=2yr  

Rate, R = 7 ½ % = 15/2%  

For half yearly :  

Time , n = 1× 2 = 2yr  

Rate, R = 15/2% × ½ = 15/4%

A = P(1+ R /100)ⁿ

A = 12800(1 + 15/4×100)²

A = 12800(1 + 15/400)²

A = 12800 [(400 + 15)/400]²

A = 12800 [415/400]²

A = 12800 × 415 × 415/ (400 × 400)

Amount, A = ₹ 13778

compound Interest , C.I = A - P

C.I = 13778 - 12800  

C.I = ₹ 978

Hence, the Amount is ₹ 13778 & compound Interest is ₹978.

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