Question

A shopkeeper compares the income from sales of a laptop in March and April.

more than March

less than March


Price


Number sold

By what fraction does the income from these sales decrease in April?

Write your answer in the form a/b Eg. " would be written as 3/7

Answer 1

Corrected Question

The sales in April relative to March is given below:

$\left|\begin{array}{c|c}\-------&-------------\\ Price&1/5 more than March\\-------&-------------\\ Number Sold& 1/4 less than March\\-------&-------------\end{array}\right|$

Answer:

$\dfrac{1}{10}$

Step-by-step explanation:

In April

$\left|\begin{array}{c|c}\-------&-------------\\ Price&1/5 more than March\\-------&-------------\\ Number Sold& 1/4 less than March\\-------&-------------\end{array}\right|$

• Let the Price in March be 1
• Let the number sold in March be 1

Therefore in March

$\left|\begin{array}{c|c}\-------&-------------\\ Price&1+1/5=6/5\\-------&-------------\\ Number Sold&1-1/4=3/4\\-------&-------------\end{array}\right|$

Total Income=Price X Number Sold

• Total Income In March =1 X 1=1

• Total Income in April $=\dfrac{6}{5}X\dfrac{3}{4}=\dfrac{9}{10}$

Difference in income $=1-\dfrac{9}{10}$

$=\dfrac{1}{10}$

The income from the sales of laptops in April decreased by  $\dfrac{1}{10}$