Question
A person lent Rs.5,000 partly at the rate of 4 per cent and partly at the rate of 5 per cent per annum simple interest. The total interest after 2 years is Rs.440. To find the sum of money lent at each of the above rates, Rs.5,000 is to be divided in the ratio :
Answer: Option A
Answer: (a)Using Rule 1,Let the sum of x be lent at the rate of 4% and (5000 - x) at the rate of 5%${x × 4 × 2}/100 + {(5000 - x) × 5 × 2}/100$ = 4408x + 50000 - 10x = 440002x = 50000 - 44000 = 6000x = Rs.3000Rs.(5000 - x) = Rs.(5000 - 3000) = Rs.2000Now, Required ratio= 3000 : 2000 = 3 : 2
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Answer: (a)Using Rule 1,Let the sum of x be lent at the rate of 4% and (5000 - x) at the rate of 5%${x × 4 × 2}/100 + {(5000 - x) × 5 × 2}/100$ = 4408x + 50000 - 10x = 440002x = 50000 - 44000 = 6000x = Rs.3000Rs.(5000 - x) = Rs.(5000 - 3000) = Rs.2000Now, Required ratio= 3000 : 2000 = 3 : 2
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