The ticket for admission to an exhibition was ₹ 5 and it was later reduced by 20\%. As a result, the sale proceeds of tickets increased by 44\%. What was the percentage increase in number of visitors?
(a)25\%
(b)50\%
(c)75\%
(d)80\%
Answer
Answer (as printed): D
Explanation
Let the total original sale be ₹ 100. Then, original number of visitors $=\frac{100}{5}=20$. Reduced price of ticket $=80 \%$ of $₹ 5=₹ 4$. New sale $$=144 \% \text { of } ₹ 100=₹ 144 .$$ New number of visitors $=\frac{144}{4}=36$. $$\text { ∴ Increase } \%=\left(\frac{16}{20} \times 100\right) \%=80 \% \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.