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On a certain sum of money the SI and CI for 2 years are 1200 and 1300 rupees respectively. The rate of interest per half year is1. 14.282. 16.663. 12.334. 8.33 |
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Answer» Correct Answer - Option 4 : 8.33 Given: The SI and CI for 2 years are 1200 and 1300 rupees respectively. Concept: When SI for the first year is 'I' then CI for two years is CI = [I + I +( I × R%)] Calculation: Let 'R' is the rate percent of per year Now, The simple interest for 1 year is ⇒ 1200/2 ⇒ 600 rupee Now, The compound interest is ⇒ 1300 = [600 + 600 + (600 × R%)] ⇒ 100 = 600 × R% ⇒ R% = 1/6 ⇒ R = 16.66 So, The rate percent per half years is ⇒ 16.66/2 ⇒ 8.33 ∴ The rate percent per half-year is 8.33 percent. |
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