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Question

# If the simple interest on a certain sum for 15 months at 712% per annum exceeds the simple interest on the same sum for 8 months at 1212% per annum by Rs.32.50, then the sum (in Rs.) is

A
Rs. 3000
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B
Rs. 3060
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C
Rs. 3120
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D
Rs. 3250
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Solution

## The correct option is C Rs. 3120Let the sum=x Rs.15 months=114=54years8 months=812=23yearsThen according to the question⇒x×5×154×2×100−x×2×253×2×100=32.30⇒75x800−50x600=32.50⇒225x−200x2400=32.50⇒25x=32.50×2400⇒x=32.50×240025⇒x=3120Rs

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