Question 64

Kamal and Anil can dig a pond in 8 days and 14 days, respectively. If the total expense of digging is ₹ 4,400, then how much money will Anil earn?

Solution

Number of days required for Kamal to dig the pond = 8 days

$$\Rightarrow$$ Workdone by Kamal in 1 day = $$\frac{1}{8}$$ of the work

Number of days required for Anil to dig the pond = 14 days

$$\Rightarrow$$ Workdone by Anil in 1 day = $$\frac{1}{14}$$ of the work

Ratio of their efficiency = $$\frac{1}{8}:\frac{1}{14}$$ = 14 : 8

Total expense of digging = ₹ 4,400

Money that can be earned by Anil = $$\frac{8}{14+8}\times4400$$ = ₹ 1600

Hence, the correct answer is Option B


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