Multiple choice

R borrowed Rs.1000 at 8% simple interest and S borrowed Rs.1400 at 5% simple interest after how much time the will have equal debts? R ने रू 1000 को 8% वार्षिक साधारण ब्याज की दर से तथा S ने रू 1400 को 5% वार्षिक साधारण ब्याज की दर से उधार लिया। कितने समय बाद दोनों का ऋण बराबर हो जाएगा?

  1. 15 years/वर्ष

  2. 25 years/वर्ष

  3. 40 years/वर्ष

  4. 50 years/वर्ष
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C Correct answer
Explanation

Simple Interest formula: Amount = Principal + (P × R × T)/100. For R: Amount = 1000 + (1000 × 8 × t)/100 = 1000 + 80t. For S: Amount = 1400 + (1400 × 5 × t)/100 = 1400 + 70t. Setting equal: 1000 + 80t = 1400 + 70t, giving 10t = 400, so t = 40 years.

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