Multiple choice

What sum of money lent at 5% p.a. simple interest for 4 years will earn same interest as Rs.2000 earns in 3 years at 4% p.a. of simple interest? किस धनराशि पर 5% वार्षिक ब्याज की दर से 4 वर्ष का साधारण ब्याज, 2000 रू. पर 3 वर्ष में 4%वार्षिक ब्याज की दर से प्राप्त साधारण ब्याज के समान होगा?

  1. Rs.1200

  2. Rs.1500

  3. Rs.1800

  4. Rs.2100
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A Correct answer
Explanation

First calculate the reference interest: Rs.2000 at 4% p.a. for 3 years earns SI = 2000 × 4 × 3 / 100 = Rs.240. Let the required sum be P. Then P × 5 × 4 / 100 = 240, which gives 20P/100 = 240, so P = 240 × 5 = Rs.1200. Option B (Rs.1500) would give interest Rs.300. Option C (Rs.1800) would give Rs.360. Option D (Rs.2100) would give Rs.420.

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