Multiple choice

Deepinder lent Rs 8200 to Jairaj for 16 years and Rs 4900 to Karna for 15 years on simple interest at the same rate of interest and received Rs 19446.5 in all from both of them as interest. What is the rate of interest per annum? दीपिंदर ने जयराज को 16 वर्षों के लिए 8200 रू. उधार दिए और करन को उसी दर पर 15 वर्षों के लिए 4900 रू. उधार दिए और दोनों से ब्याज के रूप में कुल 19446.5 रू. प्राप्त किए। वार्षिक ब्याज दर कितनी होगी?

  1. 10 %

  2. 10.5 %

  3. 9.5 %

  4. 11 %
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C Correct answer
Explanation

Let rate = r%. SI from Jairaj = 8200 × r × 16/100 = 1312r. SI from Karna = 4900 × r × 15/100 = 735r. Total SI = 1312r + 735r = 2047r = 19446.5. So r = 19446.5/2047 = 9.5%.

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