If 150 m of cloth is required to prepare dresses for 42 women, then for how many women will 125 m of cloth be sufficient?

1. 30
2. 32
3. 35
4. 36

Given:

Number of women for 150 m cloth = 42 women

Number of women for 1 m cloth = $\dfrac{42}{150} \text{ women} \quad \text{[Less cloth, Less women]}$

Number of women for 125 m cloth = $\Big(\dfrac{42}{150} \times 125\Big) \text{ women} \quad \text{[More cloth, More women]}$

= $\Big(\dfrac{42}{6} \times 5\Big) \text{ women} \quad \text{[Dividing 125 and 150 by 25]}$

= 7 x 5 women $\quad$ [Dividing 42 and 6 by 6]

= 35 women

Hence, option 3 is the correct option.