The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 164. What would be the simple interest on the same sum at the same rate for the same time?
Explanation:
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Simple interest rate = 5 * 2 = 10%. Given 10.25% of sum = 164 => 1% of sum = 16. Simple Interest = 10% of sum = 10 * 16 = Rs. 160.
The compound interest on a certain sum of money for 2 years at 6% per annum is Rs. 370.80. What would be the simple interest on the same sum at the same rate for the same time?
Explanation:
Effective rate of compound interest for 2 years at 6% = 6 + 6 + (66)/100 = 12.36%. Simple interest rate = 6 * 2 = 12%. Given 12.36% of sum = 370.80 => 1% of sum = 30. Simple Interest = 12% of sum = 12 * 30 = Rs. 360.
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