A and B undertake a piece of work for ₹ 250/-. A alone can do

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71.

A and B undertake a piece of work for ₹ 250/-. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If everyone gets paid in proportion to work done by them, the amount C will get is:

  • ₹ 50/-

  • ₹ 100/-

  • ₹ 150/-

  • ₹ 150/-


A.

₹ 50/-

A's 1 day's work = 1 fifth

B's 1 day's work = 1 over 15

(A + B + C)'s 1 days work = 1 third

C's 1 day's work:

              equals space open square brackets 1 third minus open parentheses 1 fifth plus 1 over 15 close parentheses close square brackets
equals space open parentheses 1 third minus 4 over 15 close parentheses
equals space 1 over 15

Ratio of workdone by A, B and C:

equals space 1 fifth space colon space 1 over 15 space colon space 1 over 15
equals space 3 space colon space 1 space colon space 1

therefore space space straight C apostrophe straight s space amount
space space space equals space fraction numerator 1 over denominator left parenthesis 3 plus 1 plus 1 right parenthesis end fraction cross times 250 space equals space 1 fifth space cross times space 250 equals space space ₹ space 50 divided by negative

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72.

The ratio of working of A and B are in the ratio of 2 :  3. The number of days taken by them to finish the work in the ratio:

  • 2 : 3

  • 4 : 9

  • 3 : 2

  • 3 : 2

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73.

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work in

  • 20 days

  • 21 days

  • 22 days

  • 24 days

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74.

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in

  • 120 days

  • 130 days

  • 150 days

  • 100 days

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75.

A can do 1 third rd of a work in 5 days and B can do 2 over 5th of this work in 10 days. Both A and B, together can do the work in

  • 7 3 over 8 space days

  • 8 4 over 5 space days

  • 9 3 over 8 space days

  • 10 days

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76.

A and B together finish a job in 24 days, While A, B and C together can finish the same job in 8 days. C alone will finish the work in

  • 12 days

  • 14 days

  • 16 days

  • 24 days

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77.

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field?

  • 9

  • 10

  • 6

  • 8

85 Views

78.

Shashi can do a piece of work in 20 days. Tanya is 25% more efficient than Shashi. The number of days taken by Tanya to do the same piece of work is:

  • 15

  • 16

  • 18

  • 25

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79.

A can finish a work in 7 days. B can finish the same work in 9 days. The days required to finish the work by both of them together

  • 1 15 over 16

  • 2 15 over 16

  • 3 15 over 16

  • 4 15 over 16

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80.

A and B together can complete a work in 24 days. B alone does 1/3 rd part of this work in 12 days. How many days will A alone take to complete the remaining work?

  • 24

  • 36

  • 48

  • 72

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