Question : 40 people were employed who could together make 60 toys in 8 hours, but 8 people left just before work was to begin. How many toys could then be made in 12 hours?
Option 1: 70
Option 2: 52
Option 3: 90
Option 4: 72
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Correct Answer: 72
Solution :
Use the following formula to solve the question:
$\frac{M_{1}\times D_{1}}{W_{1}}=\frac{M_{2}\times D_{2}}{W_{2}}$
Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done.
Let the $x$ toys be made in 12 hours with 32 people.
⇒ $\frac{40×8}{60}$ = $\frac{32×12}{x}$
⇒ $x = \frac{32×60×12}{40×8}$ = 72 toys
Hence, the correct answer is 72 toys.
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