discount and percentage question, how to solve this

Question

To attract more visitors, Zoo authority announces $20\%$ discount on every ticket which cost $\$25$. For this reason, sales of tickets increases by $28\%$. Find the $\%$ of increase in the number of visitors.

A $40\%$

B $50\%$

C $60\%$

D no change

How to solve this?

1 price of ticket $20 but dont know how to solve – kuberkashyap Jul 12 '15 at 15:06 — kuberkashyap, Jul 12 '15 at 15:06

score 1 · Answer 1 · answered Jul 12 '15 at 15:08

1

Call $n$ the number of tickets told.

Before the discount, the profit would have been $25n$.

Now, the price per ticket is decreased to 20\$ (remove one fifth, which is 5\$). Let's call $m$ the number of visitors the zoo attracts now.

If the profit has increased by 28%, we must have $1.28(25n)=20m$. Hence,

$$m=\frac{1.28(25n)}{20}$$

Now you just need to find $$\frac{m-n}{n}$$ which gives $0.6$. So the answer is $C) 60\%$.

answered Jul 12 '15 at 15:08

man_in_green_shirt

2,598

this method little bit complex but i am understand that how to solve .thank u – kuberkashyap Jul 12 '15 at 15:18

score 0 · Accepted Answer · answered Jul 12 '15 at 15:07

0

Let $x$ is initial number of visitors, and $y$ is a number of visitors after discount. We have $$25\cdot0.8y=25x\cdot 1.28,$$ so $$y/x=1.28/0.8=1.6$$ So, C is right answer.

answered Jul 12 '15 at 15:07

Michael Galuza

4,730

great sir .this is good method – kuberkashyap Jul 12 '15 at 15:12

score 0 · Answer 3 · answered Aug 07 '15 at 05:41

0

change in sale price=discount+increase in visitor + (discount * increase in vistor)/100

28=(-20)+V + {((-20)*V)/100}

V=60%

answered Aug 07 '15 at 05:41

selva

1

discount and percentage question, how to solve this

3 Answers3