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Some part of Rs. 17500 was lent at the rate of 24% per annum simple interest and the remaining part at the rate of 10% per annum simple interest. The total interest received after 5 years is Rs. 13300. What is the ratio of money lent at the rate of 24% and 10%?1). 12 : 132). 3 : 43). 3 : 24). 13 : 22 |
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Answer» Solution : Let 'x' be the part of money which is lent at 24% rate of interest and '(17500 -x)' be the remaining part which is lent at 10% rate of interest. Simple Interest 1 = a = (5 × x × 24)/100 a = 120x/100 = 1.2x Simple Interest 2 = b = (5 × 17500-x × 10)/100 b = (17500-x)/2 = 8750 - x/2 Given: a + b = 13300 1.2x + 8750 - x/2 = 13300 (2.4x -x)/2 = 13300 - 8750 1.4x /2 = 4550 1.4x = 9100 x = 9100/1.4 x = Rs.6500 (17500 - 6500) = 11,000 x : (17500 -x) = 6500 /11000 = 13:22 So, the correct option is 4). 13:22 |
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