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 Multiple Choice QuestionsMultiple Choice Questions

1.

A, B and C together start a business. Three times the investment of A equals four times the Investment of B and the Capital of B is twice that of C. The ratio of share of each in the profit is

  • 8 : 3 : 6

  • 3 : 8 : 6

  • 3 : 6 : 8

  • 3 : 6 : 8

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2.

In a partnership business, B's capital was half of A's. If after 8 months, B withdrew half of his capital and after 2 months more A withdrew 1 fourth th of his capital, then the profit ratio of A and B will be

  • 5 : 2

  • 10 : 23

  • 2 : 5

  • 2 : 5

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3.

A and B invest in the ratio 3 : 5. After 6 months, C joins the business investing an amount equal to B's. At the end of the year what will be the ratio of their profits?

  • 6 : 10 : 5

  • 3 : 5 : 2

  • 8 : 10 : 5

  • 8 : 10 : 5

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4.

A and B started a business by investing ₹ 3,50,000 and ₹ 1,40,000 respectively. 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 ₹ 38,000 more than B at the end of a year, then the profit is

  • ₹ 28,000

  • ₹ 2,80,000

  • ₹ 1,05,000

  • ₹ 1,05,000

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5.

A, B, C are partners in a business. During a particular year. A received one-third of the profit, B received one-fourth of the profit and C received the remaining Rs. 5000. How much amount of money did A receive?

  • Rs. 1000

  • Rs. 3000

  • Rs. 4000

  • Rs. 4000

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6.

A and B enter into partnership with capitals in the ratio 5 : 6. At the end of 8 months A withdraws his capital. They received profits in the ratio 5 : 9. B invested the capital for

  • 6 months

  • 8 months

  • 10 months

  • 10 months

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7.

A and B jointly made a profit of Rs. 1650 and they decided to share it such that 1/3 rd  of A's profit is equal to 2/5 th of B's profit. Then profit of B is

  • Rs. 700

  • Rs. 750

  • Rs. 850

  • Rs. 800

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8.

A and B invest â‚¹ 3,000/- and â‚¹ 2,400/- respectively in a business. If after one year there is a loss of â‚¹ 720/-, how much loss will B bear? (Loss or profit in proportion to their investments)

  • ₹ 72/-

  • ₹ 320/-

  • ₹ 400/-

  • ₹ 360/-

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9.

In a business partnership among A, B, C and D, the profit is shared as follows:
fraction numerator straight A apostrophe straight s space share over denominator straight B apostrophe straight s space share end fraction space equals space fraction numerator straight B apostrophe straight s space share over denominator straight C apostrophe straight s space share end fraction space equals space fraction numerator straight C apostrophe straight s space share over denominator straight D apostrophe straight s space share end fraction space equals space 1 third
If the total profit is ₹ 400000, the share of C is

  • ₹ 112500

  • ₹ 137500

  • ₹ 90000

  • ₹ 270000

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10.

A and B are partners in a business. A contributes (1/4) of the capital for 15 month and B received 2/3 of the profit. Find for how long B's money was used?

  • 6 months

  • 8 months

  • 10 months

  • 12 months


C.

10 months

A's contribution of capital = 1/4
∴  B's contribution of capital = 3/4
Now, 
Capitals ratio :: Profit sharing ratio
Let B's money was used for x months.
rightwards double arrow space space 1 fourth space cross times space 15 space colon thin space straight x space cross times space 3 over 4 space colon thin space colon thin space open parentheses 1 minus 2 over 3 close parentheses space colon space 2 over 3
rightwards double arrow space space space space 15 over 4 space colon space fraction numerator 3 straight x over denominator 4 end fraction space space colon thin space colon thin space 1 third space colon space 2 over 3
rightwards double arrow space space space space space space 15 space colon space 3 straight x space space colon thin space colon thin space space 1 space colon space 2

therefore space space space 3 straight x space space equals space 30
rightwards double arrow space space space straight x space equals space 30 over 3 space equals space 10 space months

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