If 5 men or 7 women can earn ₹ 5250 per day, how much would 7 men and 13 women earn per day? (S.S.C., 2010)
(a)₹ 11600
(b)₹ 11700
(c)₹ 16100
(d)₹ 17100
Answer
Answer (as printed): D
Explanation
Let the required earning be $₹ x$. $5$ men $\equiv 7$ women $\Leftrightarrow 7$ men $\equiv \left(\frac{7}{5} \times 7\right)$ women $= \frac{49}{5}$ women. $\therefore$ (7 men and 13 women) $\equiv \left(\frac{49}{5}+13\right)$ women $= \frac{114}{5}$ women. Now, More women, More earning (Direct Proportion). $\therefore 7 : \frac{114}{5} :: 5250 : x \Leftrightarrow 7x = \left(\frac{114}{5} \times 5250\right) = 119700 \Leftrightarrow x = \frac{119700}{7} = 17100$.
Explanation as extracted from the printed page; notation may be imperfect.