A sum of money was lent at simple interest at 11% p.a. for 312 years and 412 years respectively. If the difference in interests for two periods was Rs. 5500, then the sum is
A
Rs. 50050
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B
Rs. 55000
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C
Rs. 50000
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D
Rs. 50500
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Solution
The correct option is C Rs. 50000 Let the sum be Rs. x. Then (x×11×92×1100−x×11×72×1100)=5500 or 22x200=5500 or 11x=550000 or x=50000