[10] 18 men bind 900 books in 10 days. Find how many binders will be required to bind 600 books in 12 day

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TNPSC G4

10th CBSE Maths

18 men bind 900 books in 10 days. Find how many binders will be required to bind 600 books in 12 days?

Explanation:

We have to find the number of binders. Let the number of binders be x.

Direct Proportion:Less Books ($\downarrow$),Less binders($\downarrow$)

Indirect Proportion:More days ($\uparrow$),Less binders ($\downarrow$)

18 : x :: $\begin{cases}900 &: 600---(books) \\12 &: 10---(days) \end{cases}$

x × 900 × 12 = 18 × 600 × 10

x = $\dfrac{18\times 600 \times 10}{900 \times 12}$ = 10

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