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Question

If the simple interest on a certain sum for 15 months at `7 1/2`% per annum exceeds he simple interest on the same sum for 8 months at `12 1/2`% per annum by  Rs. 32.50 then the sum( in Rs.) is


Options:
A .  Rs. 3000
B .  Rs. 3060
C .  Rs. 3120
D .  Rs. 3250
Answer: Option C

Let the sum be Rs. `x`, Then , `( x xx 15/2 xx 5/4 xx 1/100) - (x xx 25/2 xx 2/3 xx 1/100)` = 3250

`hArr       (75x)/(8) - (25x)/(3) = 3250`

`hArr       25x =   3250 xx 24`

`hArr         x =   ((3250 xx 24)/(25))`   = 3120




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