Question

16 men can do a piece of works 15 days if the men is increase by 50% then by what percent day be reduced to get the same work done

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Answer 1

Answer:

33.33%

Step-by-step explanation:

$M_{1}$ = 16; $D_{1}$ = 15

($M_{1}$ × $D_{1}$) = ($M_{2}$ × $D_{2}$)

Men increased by 50%. So, $M_{2}$  is 50% more than of $M_{1}$. So, 150% of $M_{1}$.

150% of $M_{1}$ = $M_{2}$

150% of 16 = (150/100) × 16 = 24 men

(16 × 15) = (24 × $D_{2}$)

$D_{2}$ = (16 × 15) ÷ 24

= 10 days

So, 16 men can do a work in 15 days, and 24 men can do a work in 10 days. The reduced percentage of Day is,

15 days = 100%

10 days = ? %

= (10×100) ÷ 15

= 66.66 %

So, 100-66.66 = 33.33%

33.33% is the reduced percentage of number of days in same work done.