Multiple choice

A person lent Rs. 8000 partly at the rate of 5% and partly at the rate of 6% per annum simple interest. The total interest after 2 years is Rs. 820 then in which ratio will Rs. 8000 is to be divided? एक व्यक्ति 8000 रूपए का कुछ भाग 5% वार्षिक और शेष भाग 6% वार्षिक साधारण ब्याज की दर पर उधार देता है। दो वर्ष बाद कुल ब्याज 820 रूपए प्राप्त होता है तो 8000 रूपए को किस अनुपात में बांटना होगा?

  1. 13 : 5

  2. 12 : 5

  3. 15 : 4

  4. 7 : 1

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

Let Rs. x be invested at 5% and Rs. (8000-x) at 6%. Total simple interest after 2 years = 820. So: x × 0.05 × 2 + (8000-x) × 0.06 × 2 = 820. This simplifies to 0.1x + 960 - 0.12x = 820, giving -0.02x = -140, so x = 7000. The amounts are 7000 and 1000, giving ratio 7:1. Options A, B, and C are incorrect ratios.