Arvind started a business by investing ₹80,000. After 4 months, Bhavin joined with ₹1,20,000. At the end of 8 months from the start, Chandan joined with ₹1,60,000. If the total profit is ₹1,05,000 at the end of the year, find Chandan's share.

Arvind started a business by investing ₹80,000. After 4 months, Bhavin joined with ₹1,20,000. At the end of 8 months from the start, Chandan joined with ₹1,60,000. If the total profit is ₹1,05,000 at the end of the year, find Chandan's share.

अरविंद ने ₹80,000 निवेश करके व्यवसाय शुरू किया। 4 महीने बाद भाविन ₹1,20,000 लेकर शामिल हुआ। प्रारंभ से 8 महीने बाद चंदन ₹1,60,000 लेकर शामिल हुआ। यदि वर्ष के अंत में कुल लाभ ₹1,05,000 है, तो चंदन का लाभांश ज्ञात कीजिए।

Options / विकल्प

A. ₹26,500

B. ₹26,000

C. ₹26,200

D. ₹26,250


Answer / उत्तर

₹26,250


Solution / समाधान

Shortcut Trick / शॉर्टकट ट्रिक

Profit Ratio = Capital × Time
लाभ का अनुपात = पूंजी × समय

Partner / साझेदारCapital / पूंजीTime / समय (Months)Capital × Time
Arvind₹80,0001280 × 12 = 960
Bhavin₹1,20,0008120 × 8 = 960
Chandan₹1,60,0004160 × 4 = 640

Therefore,

960:960:640960 : 960 : 640

Dividing by 320:

3:3:23 : 3 : 2

Profit Distribution / लाभ का वितरण

Total parts:

3+3+2=83 + 3 + 2 = 8

Total Profit:

1,05,000₹1,05,000

Chandan's share:

1,05,000×28₹1,05,000 \times \frac{2}{8} =26,250= ₹26,250

Final Answer / अंतिम उत्तर

26,250\boxed{₹26,250}

Correct Answer / सही उत्तर: ₹26,250

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