A and B started a business by investing Rs. 3,50,000 and Rs. 1,40,000. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receives totally Rs. 38,000 more than B at the end of a year, then the profit is
Ratio of the capitals = 350000 : 140000 = 5 : 2.
Total profit = Rs. x
So A receives = x * 20/100 = x/5
Remaining profit = (x - x/5) = 4x/5.
condition Given remaining profit divided between A and B in the ratio of 5 : 2
So A's share = [(5 * 4x)/(7 * 5)] + x/5 = 27x/35
B's share = (2 * 4)/(7 * 5) = 8x/35
Given A's share is Rs. 38,000 more than B
=> (27x - 8x)/35 = 38,000
=> x = Rs. 70,000.
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Two merchants, M and N, enter into partnership. M puts in Rs. 20,000 in the first month and at the end of four months adds Rs.5,000 to his capital. While N withdraws Rs.20, 000 at the end of 8 months. At the end of the year, M and N received equal profit. Find the amount invested by N ?
The equivalent capital of M for whole year = (20000 * 4 + 25000 * 8) = (80000 + 200000) = Rs.280000
Let the initial capital of N be x.
The equivalent capital of N for whole year = [8 * x + (x - 20000) * 4]
= [8x + 4x - 80000]
so A's Profits are equal = (12x - 80000) = 280000
=> 12x = 360000
=> x = (360000/12) = Rs.30000.
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Manoj received Rs.6000 as his share out of the total profit of Rs.9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20,000 for 6 months, whereas Ramesh invested his amount for the whole year , what was the amount invested by Ramesh?
Let the total capital be Rs, X and suppose B's money was used for x months. Then.
(1(x)/4*15)/(3x)/4*y) = 1/2
=> y=(15*2/3)=10
So B's money was used for 10 months.
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A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
A received = 5% of Rs. 7400 = Rs. 370 (For managing)
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 * 6) : (8400 * 5) : (10000 * 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
So B's share = Rs.(7030 * 14/37)= Rs. 2660
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Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000
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