Question
A certain sum amounts to ₹22,494 in 7 years at x% per
annum on simple interest. If the rate of simple interest per annum had been (x + 4) %, the amount payable after 7 years would have been ₹25,917. Find the sum invested.Solution
Rate of interest per annum in 1st case =x% Rate of interest per annum in 2nd case =(x+4) Let the Sum =100y. ATQ- 
100y+7xy =22494 7xy =22494-100y … (1) In the second case – 
100y+7xy+28y=25917 128y+7xy =25917…put the value of eq (1) 128y+22494-100y=25917 28y=3423 Y=122.25 Total Sum =100×122.25 =12225.
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