Question

9. The simple interest on a sum of money at 12% per annum for 1 year is 900. Find
(ii) the sum of money and
(ii) the compound interest on this sum for 1 year, payable half-yearly at the same rate.​

Answer 1

Answer:

see the attachment

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Answer 2

Answer:

Rs.927

Step-by-step explanation:

Simple interest = Rs.900

Time = 1 year

Rate of interest = 12%

S.I        =  P × T × R / 100

900     =  P * 1 * 12 / 100

90000 = P * 12 { 90000 = 900* 100 BY TRANSFERING 100 TO THE NEXT SIDE }

P  = 90000/12

P  = 7,500

Hence The sum is Rs.7500

2) Sum = 7500

Rate of interest = 12% = 0.12

Time = 1 year

No. of compounds per year = n = 2

Amount =  P { 1 + r/n } NT          ( T = TIME = 1 YEAR )

Amount =  7500 { 1 + 0.12/2 } 2 × 1

Amount =8427

Compound interest = Amount - Principal = 8427 - 7500=927

Hence The compound interest on this sum for 1 year, payable half yearly at the same rate is Rs.927

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