Multiple choice

With a given rate of simple interest the ratio of principal and amount for a certain period of time is 4 : 5. After 3 years, with the same rate of interest, the ratio of principal and amount becomes 5 : 7. The rate of interest is एक दी गयी साधारण ब्याज की दर से मूलधन और मिश्रधन का किसी समयावधि के पश्चात अनुपात 4 : 5 हो जाता है | 3 वर्ष बाद, उसी ब्याज की दर से मूलधन और मिश्रधन में अनुपात 5 : 7 हो जाता है | ब्याज की दर है

  1. 4%

  2. 5%

  3. 6%

  4. 7%

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B Correct answer
Explanation

Principal:Amount = 4:5 means Interest = 1/4 of Principal. Let rate = r%, time = t years. Then rt/100 = 25 (since 4:5 ratio means 25% interest). After 3 years, ratio 5:7 means Interest = 2/5 = 40%. So r(t+3)/100 = 40. Subtracting: 3r/100 = 15, r = 5%.