Question

Price of notebook was increased by x% To bring price to earlier level it had reduce by 50/3% Find value of x

Answer 1

Step-by-step explanation:

Given:

• Price of notebook was increased by x%
• Then price is reduced by 50/3% to bring back to earlier level.

To Find:

• What is value of x%

Solution: Let the original price of notebook was Rs 100.

• After increasing price by x% price will be (100 + x)%.......(1)

• After decreasing price by 50/3% price will be (100 + x/100) x (50/3) ......(2)

★ If we subtract equation 2 from equation 1 we will get the initial price of notebook ★

$\small\implies{\sf }$ (100 + x) – (100 + x/100) x (50/3) = 100

$\small\implies{\sf }$ (100 + x) [ 1 – 50/300 ] = 100

$\small\implies{\sf }$ (100 + x) [ 300 – 50/300 ] = 100

$\small\implies{\sf }$ (100 + x) [ 250/300 ] = 100

$\small\implies{\sf }$ (100 + x) = 100 x 300/250

$\small\implies{\sf }$ (100 + x) = 30000/250

$\small\implies{\sf }$ (100 + x) = 120

$\small\implies{\sf }$ x = 120 – 100

$\small\implies{\sf }$ x = 20

Hence, The value of x = 20 or 20% Increase was made to the initial price.