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A and B start a business. A invests ₹80,000 for 9 months, and B invests ₹1,20,000 for 6 months. What is B's share of a ₹45,000 profit?

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A and B start a business. A invests ₹80,000 for 9 months, and B invests ₹1,20,000 for 6 months. What is B's share of a ₹45,000 profit?

A और B एक व्यवसाय शुरू करते हैं। A ₹80,000 को 9 महीनों के लिए निवेश करता है तथा B ₹1,20,000 को 6 महीनों के लिए निवेश करता है। ₹45,000 के लाभ में B का हिस्सा कितना होगा?

Options / विकल्प

A. ₹26,500

B. ₹28,000

C. ₹36,000

D. ₹22,500 ✅

Answer / उत्तर

✅ ₹22,500

Solution / समाधान

Shortcut Trick / शॉर्टकट ट्रिक

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

For A:

80,000×9=720,00080,000 \times 9 = 720,000

For B:

1,20,000×6=720,0001,20,000 \times 6 = 720,000

Therefore,

A:B=720,000:720,000=1:1A : B = 720,000 : 720,000 = 1 : 1

Profit Distribution / लाभ का वितरण

Total Profit:

₹45,000

Since the ratio is 1 : 1, both partners receive equal shares.

B′s Share=11+1×45,000B's\ Share = \frac{1}{1+1}\times 45,000
=12×45,000= \frac{1}{2}\times 45,000
=₹22,500= ₹22,500

Final Answer / अंतिम उत्तर

₹22,500\boxed{₹22,500}

✅ Correct Answer / सही उत्तर: ₹22,500

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