Multiple choice

On a certain sum of money lent out at 18% p.a. the difference between the compound interest for 1 year payable half yearly, and the simple interest for 1 year is Rs. 162. The sum is - किसी धनराशि पर 18% वार्षिक दर पर प्रत्येक छमाही देय भुगतान के आधार पर प्राप्त एक वर्ष के चक्रवृद्धि ब्याज और एक वर्ष के साधारण ब्याज का अन्तर 162 रू. है। तदनुसार वह राशि कितनी है?

  1. Rs. 81,000

  2. Rs.16,200

  3. Rs. 18,000

  4. Rs. 20,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Rate = 18% p.a., half-yearly compounding. For 1 year, effective rate for CI = (1 + 0.18/2)² - 1 = (1.09)² - 1 = 0.1881 or 18.81%. SI for 1 year = 18%. Difference = (18.81 - 18)% of P = 0.81% of P = 162. So P = 162 / 0.0081 = 20000.

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