Keerthana
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P is 20% more efficient than Q. If Q alone can finish a work in 10 days, then in how many days will P alone finish the work?

a

8138 \frac{1}{3}

b

8.5

c

9

d

12

Answer : Option A
Explanation :
P is 20% more efficient than Q. Time taken by Q = 10 days \therefore Time taken by P=100120×10\mathrm{P}=\frac{100}{120} \times 10 =253=813=\frac{25}{3}=8 \frac{1}{3} days Alternative: P is 20% more efficient than Q.

According to the question,

6 unit 10\rightarrow 10

1 unit 106\rightarrow \frac{10}{6}

5\therefore 5 unit 106×5\rightarrow \frac{10}{6} \times 5

=813=8 \frac{1}{3} days

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