Multiple choice

A borrowed Rs.1500 at 4% per annum and Rs.1400 at 5% per annum for the same period. He paid Rs.390 as total interest. Find the time for which he borrowed the sum. A रु.1500 को 4% वार्षिक ब्याज दर से और रु.1400 को 5% वार्षिक ब्याज दर से समान समय के लिए उधार लेता है। वह रु.390 कुल ब्याज के रूप में अदा करता है। वह समय ज्ञात कीजिये जिसके लिए उसने धनराशि उधार ली थी।

  1. 3.5 years/वर्ष

  2. 2.5 years/वर्ष

  3. 3 years/वर्ष

  4. 4 years/वर्ष

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total simple interest = Interest from first sum + Interest from second sum. I = (1500 × 4 × t)/100 + (1400 × 5 × t)/100 = 60t + 70t = 130t. Given I = 390, so 130t = 390. Therefore t = 390/130 = 3 years. The key is setting up the equation for total interest from both loans.