Multiple choice

Pawan invests half his capital at the rate of 10% per annum, one third at 9% and the rest at 12% per annum. Find the average rate of interest per annum, which he gets. पवन अपनी पूँजी का आधा 10% वार्षिक ब्याज की दर से, एक तिहाई को 9% ब्याज की दर से और शेष को 12% ब्याज की दर से निवेश करता है। औसत ब्याज की दर ज्ञात कीजिये जो वह प्राप्त करता है।

  1. 9%

  2. 10%

  3. 10.5%

  4. 12%

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

Let total capital be Rs. x. Half at 10% gives (x/2) × 10% = 5x%. One-third at 9% gives (x/3) × 9% = 3x%. Remaining (x - x/2 - x/3) = x/6 at 12% gives (x/6) × 12% = 2x%. Total interest = 5x% + 3x% + 2x% = 10x%. Average rate = 10x%/x = 10%.