A sum of Rs. 1,550 was lent partly at 5% and the remaining amount at 8% simple interest. The total interest received after 3 years was Rs. 300. The ratio of money lent at 5% to that lent at 8% is ______.
16 : 15
Let Rs. x be lent at 5%; then Rs. (1550 - x) is lent at 8%. Simple interest SI = PRT/100.
x × 5 × 3/100 + (1550 - x) × 8 × 3/100 = 300
15x + 24(1550 - x) = 30000
15x + 37200 - 24x = 30000
9x = 7200
x = 800
Amount at 8% = 1550 - 800 = 750. Ratio = 800 : 750 = 16 : 15.
Check: 800 × 15/100 + 750 × 24/100 = 120 + 180 = Rs. 300.
Hence, 16 : 15.
Similar Questions
Divya bought Rs. 30,000 from a bank to buy a car at 20% simple interest. If she paid Rs. 18,000 as interest while clearing the loan, find the time for which the loan was given.
Important Questions from Simple Interest
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P borrowed an amount from Q at a simple interest of 10% p.a. At the end of the year, P paid back Rs 99000 which was 90% of what she owed. How much money did P borrow?
A sum of money at simple interest amounts to Rs. 1,285 in 4 years and to Rs. 1,330 in 5 years. The sum is ____________.
