Question

If a shirt costs $20$ and is reduced by 20%. How much will the new price be if 95% of people in my street have a car? There are 160 people in my street. How many do not have a car?

Answer 1

Hint: In order to solve the question, first we will need to find the new price of the shirt and we know that the new price of the shirt will be equal to the difference between the original price and the reduction price. Then we have given that there are 160 people in my street out of which 95% of people having car, so simply we will find the 95% 0f 160 and we will get the number of people owns a car and subtracting this number from the total number of people, we will be getting the number of people do not own a car. In this way we will get the required answer.

Complete step by step solution:
We have given that,a shirt costs $20$ and is reduced by 20%.
Reduction price = 20% of 20 = \[\dfrac{20}{100}\times 20=\dfrac{1}{5}\times 20=4\]
Now,the new price of the shirt = original price – reduction price =20- 4 = 16
Therefore, the new price of the shirt is $16$.Now,we have given that,
Total number of people in a street = 160
Percentage of people have car = 95%
Thus,
$\text{Number of people having car} = 95\% 0f 160 \\
\Rightarrow\text{Number of people having car} = \dfrac{95}{100}\times 160\\
\Rightarrow\text{Number of people having car} =\dfrac{19}{20}\times 160\\
\Rightarrow\text{Number of people having car} =19\times 8\\
\Rightarrow\text{Number of people having car} =152$

Therefore, there are 152 people in my street that are having cars.Now,
$\text{Number of people do not have car} = \text{total number of people} – \text{number of people having car}\\
\Rightarrow\text{Number of people do not have car} = 160 – 152 \\
\therefore\text{Number of people do not have car}= 8$

Therefore, there are 8 people in my street who do not own a car.

Note:In the given question, we can see that there are two questions. So while solving the question do not directly jump upon the second part take each part one by one from the starting. Students need to be very careful while doing the calculation to avoid making any type of error or calculation mistake. In order to solve the question, you need to know a way to calculate a percentage.