Question:
A, B, and C started a business. A invested Rs. 80,000, B invested Rs. 50,000, and C invested Rs. 70,000. After 6 months, A added Rs. 20,000 and B withdrew Rs. 10,000. If the total profit after 1 year is Rs. 2,40,000, how much will B receive?
A, B और C ने एक व्यवसाय शुरू किया। A ने 80,000 रुपये, B ने 50,000 रुपये और C ने 70,000 रुपये का निवेश किया। 6 महीने बाद, A ने 20,000 रुपये और जोड़े तथा B ने 10,000 रुपये निकाल लिए। यदि 1 वर्ष बाद कुल लाभ 2,40,000 रुपये है, तो B को कितना प्राप्त होगा?
Options:
- Rs. 52,683
- Rs. 63,000
- Rs. 72,000
- Rs. 81,000
- 52,683 रुपये
- 63,000 रुपये
- 72,000 रुपये
- 81,000 रुपये
Correct Answer: a)
Explanation:
Equivalent monthly investments:
A: \(80000 \times 6 + 100000 \times 6 = 480000 + 600000 = 10,80,000\)
B: \(50000 \times 6 + 40000 \times 6 = 300000 + 240000 = 5,40,000\)
C: \(70000 \times 12 = 8,40,000\)
Profit ratio A : B : C = \(108 : 54 : 84 = 18 : 9 : 14\).
Sum of ratio terms = \(18 + 9 + 14 = 41\).
B’s share = \(\dfrac{9}{41} \times 2,40,000 = \text{Rs. } 52,682.93 \approx \text{Rs. } 52,683\).
पूंजी का अनुपात:
A: \(80000 \times 6 + 100000 \times 6 = 10,80,000\)
B: \(50000 \times 6 + 40000 \times 6 = 5,40,000\)
C: \(70000 \times 12 = 8,40,000\)
अनुपात A : B : C = \(18 : 9 : 14\)। अनुपाती योग = 41।
B का हिस्सा = \(\dfrac{9}{41} \times 2,40,000 \approx 52,683\) रुपये।