X, Y, and Z invested ₹25,000, ₹35,000, and ₹40,000 respectively in a business. If the profit at the end of the year was ₹30,000,…

Question

X, Y, and Z invested ₹25,000, ₹35,000, and ₹40,000 respectively in a business. If the profit at the end of the year was ₹30,000, find Y's share.

1. A. ₹10,500 (Correct answer)
2. B. ₹10,000
3. C. ₹11,000
4. D. ₹11,500

Correct Answer

Option A — ₹10,500

Detailed Solution & Explanation

The correct answer is ₹10,500.

Key Points

• All three invested for the same duration, so profit divides in the ratio of capital alone.
• 25,000 : 35,000 : 40,000 simplifies to 5 : 7 : 8, totalling 20 parts.
• One part = 30,000 ÷ 20 = ₹1,500.
• Y holds 7 parts: 7 × 1,500 = ₹10,500.

Additional Information

• This is a simple partnership, where durations are equal; where they differ, profit divides in the ratio of capital × time instead.
• Always reduce the ratio before dividing — working with 5 : 7 : 8 rather than the five-figure amounts removes almost all the arithmetic risk.
• Check the total: X gets 5 × 1,500 = ₹7,500 and Z gets 8 × 1,500 = ₹12,000, and 7,500 + 10,500 + 12,000 = ₹30,000 ✓.

प्रश्न (हिन्दी में)

X, Y और Z ने एक व्यवसाय में क्रमशः ₹25,000, ₹35,000 और ₹40,000 का निवेश किया। यदि वर्ष के अंत में लाभ ₹30,000 था, तो Y का हिस्सा ज्ञात कीजिए।

1. A. ₹10,500
2. B. ₹10,000
3. C. ₹11,000
4. D. ₹11,500