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Arithmetic (Partnership)

Arithmetic (Partnership)

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1) A, B and C start a business with capitals in the ratio 4 : 5 : 6. After 3 months, A withdraws 1/4th of his capital, B withdraws 1/5th of his capital and C withdraws 1/6th of his capital. The ratio of their capitals is now:

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2) A,B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after 6 months and c invests thrice the amount after 8 months. If the annual profit be Rs. 2700, then c’s share in the profit is:

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3) A, B and C start a business. Twice the capital of B is equal to thrice the capital of A and the capital of C is Rs. 1000 less than that of A. If the profits at the end of the year are divided in the ratio 2 : 3 : 5, find the capital of A. (in Rs.)

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4) A, B and C start a partnership with investments of Rs. 1,50,000, Rs. 1,20,000 and Rs. 90,000 respectively. After 4 months, A withdraws Rs. 40,000, B withdraws Rs. 30,000 and C withdraws Rs. 60,000. The partnership in continued for one more year. What will be C’s share in the profit?

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5) A and B invests Rs. 4000 and Rs. 5000 respectively, in a business. A reinvests into the business his share of the first year’s profit of Rs. 1500. B reinvests his share of the second year’s profit of Rs. 3000. If they receive a profit of Rs. 6300 at the end of the second year, then the share of A (in Rs.) in the profit is:

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6) A, B and C enter into a partnership. The ratio of their capital is 3 : 4 : 5. If B adds Rs. 4000 more and C withdraws Rs. 2000, the ratio of their capital becomes 3 : 5 : 7. Find the initial capital of A, B and C (in Rs.)

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7) A, B and C enter into a partnership. A invests Rs. 4000 for 6 months, B invests Rs. 3600 for 8 months and C invests Rs. 3000 for 10 months. If the total profit at the end of one year is Rs. 19,400, then C’s share in the profit is:

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8) A, B and C invest in a business in the ratio 2 : 3 : 5. After one year, A increases his capital by 50%. If the total profit at the end of one year be Rs. 6000, then B’s share in the profit is:

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9) A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 2700, then C’s share in the profit is:

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10) A, B, C start a business. Twice the capital of B is equal to thrice the capital of A and the capital of C is Rs. 1000 less than that of A. If the profits at the end of the year are divided in the ratio 2 : 3 : 5, find the capital of B. (in Rs.)

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11) 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 A’s share in the profit?

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12) A started a business with Rs. 80000 and was joined afterwards by B with Rs. 120000. After how many months did B join if the profits at the end of the year are divided in the ratio of 2:3?

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13) A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion will their profits be shared at the end of the year?

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14) A, B and C enter into a partnership with a capital of Rs. 35000, Rs. 45000 and Rs. 55000 respectively. After 8 months, A withdraws Rs. 10000, B withdraws Rs. 12000 and C invests Rs. 5000 more. The share of A, B and C in a profit of Rs. 46500 is:

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15) A, B and C enter into a partnership with capitals in the ratio of 4 : 5 : 6. After 4 months, A increases his capital 50% and B increase his capital 60%. In what ratio should the profit at the end of 10 months be divided?

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16) A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 2700, then B’s share in the profit is:

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17) A, B and C enter into a partnership. A invests Rs. 4000 for 6 months, B invests Rs. 3600 for 8 months and C invests Rs. 3000 for 10 months. If the total profit at the end of one year is Rs. 19,400, then C’s share in the profit is:

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18) A, B and C are partners in a business. The ratio of their capitals is 4 : 5 : 6. A receives one-fourth of the total profit for his managerial skills and the remaining profit is divided among them in the ratio of their capitals. If A receives a total of Rs. 3200, find the total profit (in Rs.)

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19) A, B and C invest Rs. 8000, Rs. 10000 and Rs. 12000 respectively in a business. After one year, A removed his money and B and C divided the profit in the ratio 2 : 3. Find the share of C (in Rs.)

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20) A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B’s share in the profit is:

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21) A, B, C invested in a business. A as sleeping partner invests 1/6th of the capital. B invests 1/3rd of the capital for 6 months and the remaining money at the rate of 5% per annum. C manages the business for which he gets 20% of the profit. At the end of the year, A gets Rs. 500, B gets Rs. 800 and C gets Rs. 2000. Find the total profit. (in Rs.)

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22) A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

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23) A and B entered into a partnership with capital as 5: 7. After 3 months, A invested x more, B invested 8 more and C withdrew 5. The ratio of their capitals then became 2: 3: 4. Find x.

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24) 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?

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25) A and B invested in the ratio 2 : 1. After 6 months, C also joined them with the capital of B. The ratio of capital A, B and C at the end of the year was 2 : 3 : 5. What was the ratio of the initial capital of A, B and C?

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