Question:
A and B started a partnership with Rs. 50,000 and Rs. 80,000 respectively. After 6 months, A added Rs. 10,000 more and B withdrew Rs. 20,000. If the annual profit is Rs. 39,000, find A’s share.
A और B ने क्रमशः 50,000 रुपये और 80,000 रुपये के साथ एक साझेदारी शुरू की। 6 महीने बाद, A ने 10,000 रुपये और जोड़े और B ने 20,000 रुपये वापस ले लिए। यदि वार्षिक लाभ 39,000 रुपये है, तो A का हिस्सा ज्ञात कीजिए।
Options:
- a) Rs. 17160
- b) Rs. 18,000
- c) Rs. 15,400
- d) Rs. 17,200
- a) रुपये 17160
- b) रुपये 18,000
- c) रुपये 15,400
- d) रुपये 17,200
correct answer : a)
Explanation:
A’s total investment for 1 year = (50000 * 6) + ((50000 + 10000) * 6) = 3,00,000 + 3,60,000 = Rs. 6,60,000.
B’s total investment for 1 year = (80000 * 6) + ((80000 – 20000) * 6) = 4,80,000 + 3,60,000 = Rs. 8,40,000.
Ratio of profit share (A : B) = 660000 : 840000 = 11 : 14.
A’s share of profit = [11 / (11 + 14)] * 39000 = (11 / 25) * 39000 = 11 * 1560 = Rs. 17,160.
1 वर्ष के लिए A का कुल निवेश = (50000 * 6) + ((50000 + 10000) * 6) = 3,00,000 + 3,60,000 = रुपये 6,60,000.
1 वर्ष के लिए B का कुल निवेश = (80000 * 6) + ((80000 – 20000) * 6) = 4,80,000 + 3,60,000 = रुपये 8,40,000.
लाभ के हिस्से का अनुपात (A : B) = 660000 : 840000 = 11 : 14.
A का लाभ में हिस्सा = [11 / (11 + 14)] * 39000 = (11 / 25) * 39000 = 11 * 1560 = रुपये 17,160.