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A can do a piece of work in 12 days. B is 50% more efficient than A. In how many days B will finish the same work ?

a

24 days

b

8 days

c

12 days

d

6 days

Answer : Option B
Explanation :
Time taken by B=12×100150=8mathrm{B}=12 imes frac{100}{150}=8 days Alternative: Fraction of 50%=+12350 \%=+frac{1}{2} uparrow^{3}

Total work = Time × Efficiency

Time taken by B complete the work

= Total work  Efficiency of B =frac{ ext { Total work }}{ ext { Efficiency of B }}

=12×23=8=frac{12 imes 2}{3}=8 days

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