Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
Visitors to a show were charged ₹ 15 each on the first day, ₹ 7.50 on the second day and ₹ 2.50 on the third day. The attendance on the three days was in the ratio 2 : 5 : 13. The average charge per person for the whole show was
(a)₹ 5
(b)₹ 6.33
(c)₹ 7.50
(d)₹ 9
Answer
Answer (as printed): A
Explanation
Let the number of visitors on the three days be $2 x, 5 x$ and $13 x$ respectively. Then, total charges collected on three days $$\begin{aligned} & =₹(15 \times 2 x+7.50 \times 5 x+2.50 \times 13) \\ & =₹(30 x+37.50 x+32.50 x)=₹(100 x) . \end{aligned}$$ ∴ Average charge per person $$=₹\left(\frac{100 x}{2 x+5 x+13 x}\right)=₹\left(\frac{100 x}{20 x}\right)=₹ 5 .$$
Explanation as extracted from the printed page; notation may be imperfect.