Multiple choice

The rate of interest on a certain sum is 5% for first 2 years, 6% for next 3 years and 8% for further years. After 9 years, 3000 Rs. is obtained as total interest on that sum. Find the sum./किसी धनराशि पर पहले 2 वर्षों के लिए ब्याज की दर 5% वार्षिक, अगले 3 वर्षों के लिए 6% वार्षिक तथा अगले वर्षों के लिए 8% वार्षिक है। उस धन पर 9 वर्ष बाद कुल ब्याज 3000 रू. प्राप्त होता है। धनराशि ज्ञात कीजिए।

  1. Rs. 10000

  2. Rs. 8000

  3. Rs. 7000

  4. Rs. 5000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let principal be P. Total simple interest = P×(5/100)×2 + P×(6/100)×3 + P×(8/100)×4 = P×(0.1 + 0.18 + 0.32) = 0.6P. Given total interest = Rs. 3000, so 0.6P = 3000, P = Rs. 5000. Option A (Rs. 10000) would give Rs. 6000 interest at these rates. Option C (Rs. 7000) would give Rs. 4200 interest.

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