Multiple choice

Kabir puts Rs. 868 more in a business than Vani, but Vani has invested her capital for 8 months while Kabir has invested his capital for 4 months. If the share of Kabir is Rs. 68 more than that of Vani out of the total profits of Rs. 1532, find the capital contributed by Vani. कबीर एक व्यापार में वाणी से 868 रू. अधिक लगाता है, लेकिन वाणी अपनी पूँजी को 8 माह के लिए निवेश करती है जबकि कबीर अपनी पूँजी को 4 माह के लिए निवेश करता है। यदि 1532 रू. के कुल लाभ में से कबीर, वाणी से 68 रू. अधिक प्राप्त करता है, वाणी द्वारा निवेशित राशि ज्ञात कीजिए।

  1. Rs. 632

  2. Rs. 638

  3. Rs. 732

  4. Rs. 736

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

Let Vani's capital = x. Kabir's capital = x + 868. Vani invests for 8 months, Kabir for 4 months. Profit ratio = x × 8 : (x + 868) × 4 = 2x : (x + 868). Total profit = 1532. Kabir gets 68 more than Vani, so Kabir = (1532 + 68)/2 = 800, Vani = 732. Setting up: (x + 868)/(2x + x + 868) = 800/1532. Solving gives x = 732. Verification: Vani's investment = 732 × 8 = 5856, Kabir = 1600 × 4 = 6400. Ratio = 5856 : 6400 = 732 : 800. Vani's profit = (5856/12256) × 1532 = 732. ✓