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A alone can finish a work in 2 days, while B alone can finish it in 3 days. If they work together to finish it, then out of total wages of Rs.6000, what will be the 20% of A's share?

Correct Answer:

A) Rs.720 |
B) Rs.350 |

C) Rs.820 |
D) Rs.420 |

Correct Answer:

A) Rs.720 |

Description for Correct answer:

A's 1 day's work = \( \Large \frac{1}{2} \)

B's 1 day's work = \( \Large \frac{1}{3} \)

A's share : B's share = \( \Large \frac{1}{2} \) : \( \Large \frac{1}{3} \)

= \( \Large \frac{3}{6} \) : \( \Large \frac{2}{6} \) = 3 : 2

A's share = \( \Large \frac{3}{5} \times 6000 \) = Rs.3600

Therefore, 20% of A's share = \( \Large 3600 \times \frac{20}{100} \) = Rs.720

A's 1 day's work = \( \Large \frac{1}{2} \)

B's 1 day's work = \( \Large \frac{1}{3} \)

A's share : B's share = \( \Large \frac{1}{2} \) : \( \Large \frac{1}{3} \)

= \( \Large \frac{3}{6} \) : \( \Large \frac{2}{6} \) = 3 : 2

A's share = \( \Large \frac{3}{5} \times 6000 \) = Rs.3600

Therefore, 20% of A's share = \( \Large 3600 \times \frac{20}{100} \) = Rs.720

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