Question

The price of a shirt first increase by 20 percent and was then reduce by 25 percent now its price is 450 find original price​

Answer 1

Answer:

Given:-

Reduced rate is 450

Reduce ℅ given is 25%

So (100 - 25)%

= 75%

Solution:-

75% of X = 450

=> X = 450 × 100/75

=> X = 600

Given :-

Increased ( according to Solution) is 600

and increased % is 20%

100% + 20 % = 120%

Solution:-

120% of X = 600

=> X = 600 × 100/120

=> X = 500

So the Original amount is 500.

Hope it helps you☺☺

Answer 2

Answer:

★ Price = Rs 500 ★

Step-by-step explanation:

Given:

• Price of the shirt increased by 20% and then it is reduced by 25%.
• After reduction the price is Rs 450.

To Find:

• What is original price of shirt?

Solution: Let the original price of shirt be Rs x

• After increasing 20% price will be •

$\small\implies{\sf }$ Price = x + 20/100 of x

$\small\implies{\sf }$ x + 20x/100

$\small\implies{\sf }$ x + 0.2x

$\small\implies{\sf }$ Price = 1.2x

• Again, It is reduced by 25% •

$\small\implies{\sf }$ Price = 1.2x – 25/100 of 1.2x

$\small\implies{\sf }$ 1.2x – 30x/100

$\small\implies{\sf }$ 1.2x – 0.3x

$\small\implies{\sf }$ Price = 0.9x

• It is given that price after reduction is Rs 450 •

$\small\implies{\sf }$ 450 = 0.9x

$\small\implies{\sf }$ 450/0.9 = x

$\small\implies{\sf }$ 450 x 100/9 = x

$\small\implies{\sf }$ 4500/9 = x

$\small\implies{\sf }$ 500 = x

Hence, original price of shirt is x = Rs 500