Question

What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest ?


Options:
A .  Rs. 550
B .  Rs. 551.25
C .  Rs. 560
D .  Rs. 560.75
Answer: Option B

Let each instalment be  Rs. `x` , Then ,

`(x)/((1 + 5/100)) + (x)/((1 + 5/100))^2 = 1025`

`hArr      (20x)/(21) + (400x)/(441) = 1025`

`hArr    820x = 1025 xx 441`

`hArr    x = ((1025 xx 441)/(820)` =  551.25

So, value of each instalment  = Rs. 551.25.



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