A and B invest 4800 and Rs. X in a bussiness but after 8 months A break the partnership at the end of year A got Rs. 2400 from the profit of Rs. 6900. Find the value of X? A तथा B एक व्यापार में क्रमशः 4800 रू. तथा X रू. लगाते हैं लेकिन 8 महीने बाद A साझेदारी छोड़ देता है और वर्ष के अन्त में 6900 रू. के लाभ में से 2400 रू. का लाभ प्राप्त करता है तो X का मान ज्ञात कीजिए।

Profit is shared in ratio of investment × time. A invested 4800 for 8 months, so A's share = 4800×8 = 38400. B invested X for 12 months, so B's share = 12X. Total profit = 6900, A's share = 2400. A's profit ratio = 2400/6900 = 24/69 = 8/23. So 38400/(38400 + 12X) = 8/23. Cross-multiply: 38400×23 = 8(38400 + 12X) → 883200 = 307200 + 96X → 96X = 576000 → X = 6000. The claimed answer D (Rs. 6000) is correct.