Three friends A, B and C started a business by investing amount in the ratio of 5 : 7 : 6 respectively. After a period of six months C withdrew half of the amount invested by him. If the amount invested by A is Rs. 40000 and the total profit earned at the end of one year is Rs. 33000, what is C's share in profit? तीन मित्र A, B और C, 5 : 7 : 6 के अनुपात में धन निवेश करके एक व्यापार प्रारम्भ करते हैं। 6 महीने के बाद C अपने निवेशित धन में से आधा धन निकाल लेता है। यदि A द्वारा निवेशित धन 40000 रू. है और एक वर्ष के अंत में कुल अर्जित लाभ 33000 रू. हो, तो लाभ में C का हिस्सा क्या है?

Investment ratio A:B:C = 5:7:6. A's investment = Rs. 40000, so 5 parts = 40000, 1 part = 8000. Therefore B = 7 × 8000 = Rs. 56000 and C = 6 × 8000 = Rs. 48000. For profit calculation: A invests Rs. 40000 for 12 months = 480000 units. B invests Rs. 56000 for 12 months = 672000 units. C invests Rs. 48000 for 6 months, then withdraws half (Rs. 24000) for remaining 6 months: 48000×6 + 24000×6 = 288000 + 144000 = 432000 units. Total ratio units = 480000 + 672000 + 432000 = 1584000. C's profit share = (432000/1584000) × 33000 = Rs. 9000. However, my calculation shows C's share should be approximately Rs. 9000, which matches option C. Let me verify: C's ratio = 432000, Total = 1584000, so C's share of 33000 = 33000 × (432000/1584000) = 33000 × 0.2727... ≈ 9000. Yes, this is correct.