Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
15 men, 18 women and 12 boys working together earned ₹ 2070. If the daily wages of a man, a woman and a boy are in the ratio of 4 : 3 : 2, the daily wages (in ₹) of 1 man, 2 women and 3 boys are
(a)135
(b)180
(c)205
(d)240
Answer
Answer (as printed): D
Explanation
Let the daily wage of a man, a woman and a boy be ₹ $4 x$, ₹ $3 x$ and ₹ $2 x$ respectively. Then, $15 \times 4 x+18 \times 3 x+12 \times 2 x=2070$ $$\begin{aligned} & \Rightarrow 60 x+54 x+24 x=2070 \\ & \Rightarrow 138 x=2070 \Rightarrow x=15 . \end{aligned}$$ ∴ Daily wages of 1 man, 2 women and 3 boys $$\begin{aligned} & =₹(4 x+2 \times 3 x+3 \times 2 x) \\ & =₹(4 x+6 x+6 x)=₹ 16 x \\ & =₹(16 \times 15)=₹ 240 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.