Question

If 7 men or 10 women can earn ₹ 1400 per day, how much would 14 men and 8 women earn per day?

Answer 1

SOLUTION-

⟹ 7 men = 10 women

⟹ 1 man = $\dfrac{10}{7}$ women

⟹ 14 men = $( \dfrac{10}{7} \times 14)$women

⟹ 14 men = 20 women

⟹ 14 men + 8 women = 20 women = 8

⟹ 14 men + 8 women = 28 women

Let 14 men and 8 women (= 28 women) earn ₹ x per day.

Then, we have:

• No. of women | 10 | 28
• earning per day in ₹ | 1400 | x

Clearly , more women will earn more per day . so , it is the case of direct proportion

$\sf {\fbox{★{10}÷{1400} = {28}÷{x}}}$

⟹ 10 x = 28 × 1400

⟹$x = \dfrac{28 \times 1400}{10}$

⟹ x = 3920

Hence, 14 men and 8 women would earn ₹ 3920 per day.