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Question

What annual instalment will discharge a debt of Rs. 1092 due in 3 years at 12 % simple interest ?


Options:
A .  Rs. 325
B .  Rs. 345
C .  Rs. 350
D .  Rs. 375
Answer: Option A

Let each instalmnt be Rs.  `x` , then , `( x + (x xx 12 xx 1)/(100)) + (x + (x xx 12 xx 2)/(100)) + x ` = 1092

`hArr   (28x)/(25) + (31x)/(25) + x` = 1092

`hArr      (28x + 31x + 25x)` =  (1092 x 25)

`hArr     84 x` =  1092 x 25

`hArr     x = ((1092 xx 25)/(84)) ` =   325

`:.`      Each  instalment =  Rs. 325



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