Question : Janardan completes $\frac{2}{3}$rd of his work in 10 days. The time he will take to complete $\frac{3}{5}$th of the same work is:
Option 1: 8 days
Option 2: 6 days
Option 3: 9 days
Option 4: 4 days
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Correct Answer: 9 days
Solution :
Given: Janardan completes $\frac{2}{3}$rd of his work in 10 days.
We know, $\frac{D_1}{W_1}=\frac{D_2}{W_2}$
Here, $W_1$ = $W_2$ = Part of the work
and $D_1$ = $D_2$ = Number of days
Applying the above formula,
$\frac{10}{\frac{2}{3}}=\frac{D_2}{\frac{3}{5}}$
$\therefore D_2=\frac{10×3×3}{2×5}$ = 9 days
Hence, the correct answer is 9 days.
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