Question

Vasudevan invested rupees 160,000 at an interest rate of 12% per annum compounded half yearly really what amount would we get first after six month second after 1 year

Answer 1

(1) Amount for 6 months ,

A = P( 1 + R / 100 ) 2T ___________eq(1)

P = 160,000 ,R = 12 %, R = 6% half yearly ,

T = 1/2

A = 160,000 ( 1 + 6 / 100 ) 2 × 1/ 2

A = 160,000 (106 / 100 )

A = 1,60,000 × 53 / 50

A =3200 × 53 = Rs 1,69,600

(2) , Amount for 1 year

P =1,60,000 , R = 6 % ,T = 1 , from eq(1)

A = 1,60,000 ( 1 + 6 / 100 )^2

A = 1,60,000 ( 53 / 50) ( 53 / 50)

A = (1600 × 53 × 53) / 25

A = 64 × 53 × 53 = Rs 1,79,776

therefore ,
amount in 6 months =Rs 1,69,600

amount after 1 year= Rs 1, 79 ,776

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Your Answer :
Rs 1,69,600 and Rs1,79,776
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