Math, asked by priyasonali835, 9 months ago

A reduction of 10% in the price of apples enables a person to buy 400 g w more of
apples for 180. Find the original price per kg wt.
[Hint: Suppose x kg wt of apples can be bought for y
Then, xy = (x + 0.4) = 180]

Answers

Answered by jefferson7

A reduction of 10% in the price of apples enables a person to buy 400 g w more of

apples for 180. Find the original price per kg wt.

[Hint: Suppose x kg wt of apples can be bought for y

Then, xy = (x + 0.4) = 180]

Step-by-step explanation:

First Define x:

Assume the price of the apple is Rs x per gram

The Price after reduction will be = Rs0.9x per gram

Before reduction the price is calculated as follows:

The weight of apples bought = 180/x

The price after reduction will be :

Weight of apples bought = 180/0.9x

Solving for x:

The difference will be 400g

⇒ 180/0.9x – 180/x = 400

180/0.9x – 180/x = 400

After cross multiplication we get:

180x - 180 (0.9x) = 400 (0.9x)(x)

Evaluation of the brackets yields:

180x – 162x = 360x²

18x = 360x²

360x² – 18x = 0

Eliminate the common factor 18x:

18x(20x – 1) = 0

After Applying zero product property we get:

20x - 1 = 0 or 18x = 0

x = 1/20 or x = 0 Note : The price can not be zero

x = 0.05

The original price per kg will be:

Price per gram = x = 0.05

Price per kg = 0.05 x 1000 = Rs 50

Answer: The original price was Rs 50 per kg.

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