Multiple choice

A man divided Rs. 12400 in two parts and lent the first part @ 6% for 5 years, and the second part @10% for 4 years. If interest earned on two parts is in the ratio 4 : 5. find the second part ? एक आदमी रु.12400 को दो भागो में विभाजित करता है पहले भाग को वह 6% की वार्षिक दर से पांच वर्ष के लिए उधार देता है और दूसरे भाग को वह 10% की वार्षिक दर से 4 वर्षो के लिए देता है यदि दोनों भागो से उसे ब्याज 4 : 5 में मिलता है तो उसका दूसरा भाग ज्ञात कीजिये ?

  1. 3200

  2. 4000

  3. 5000

  4. 3000

  5. 6000

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

Let first part = x, second part = 12400 - x. Interest on first part = x × 6 × 5 ÷ 100 = 30x/100. Interest on second part = (12400 - x) × 10 × 4 ÷ 100 = 40(12400 - x)/100. Ratio = 4:5, so (30x/100) ÷ (40(12400 - x)/100) = 4/5. Solving: 30x ÷ 40(12400 - x) = 4/5, giving 150x = 16(12400 - x), so 166x = 198400, x = 1195.18. This seems wrong. Let's verify: (30 × 6400) / (40 × 6000) = 192000/240000 = 4/5. So first part = 6400, second part = 6000. Answer E is correct.