A reduction of 10%... A reduction of 10% in the price of sugar would enable a man to buy 2kg of sug

indimiamimactjcf

indimiamimactjcf

Answered question

2022-05-15

A reduction of 10%...
A reduction of 10% in the price of sugar would enable a man to buy 2kg of sugar more for Rs. 125. Find the reduced price per kg.
My attempt: Let the initial price of sugar be Rs. x kg. Price after 10% reduction
x 10 %   x = 9 x 10
Now, I could not understand the other conditions.

Answer & Explanation

Allyson Gonzalez

Allyson Gonzalez

Beginner2022-05-16Added 24 answers

Let P 0 denote the initial price per kg and P F denote the price after the reduction in 10 %, then
(1) P F = 0.9 P 0 .
Let Q 0 denote the number of kgs that the man could buy when the price was P 0 and Q F denote the number of kgs that the man can buy when the price is changed to P F . We know three things about this:
(2) Q F Q 0 = 2 (3) P 0 Q 0 = 125 (4) P F Q F = 125
Substituting (2) into (4) we get
P F ( Q 0 + 2 ) = 125 P F ( Q 0 + 2 ) = 125 ,
now, substitute Q 0 from ( 3 ) to get
P F ( 125 P 0 + 2 ) = 125 125 P F P 0 + 2 P F = 125 .
Finally use ( 1 ) to get
0.9 125 + 2 P F = 125 P F = 0.1 125 2 .
Regina Ewing

Regina Ewing

Beginner2022-05-17Added 3 answers

The price is Rs/kg. If you pay attention to the units it can guide you. He can initially buy 125 x kg of sugar. After the reduction, how much can he buy? The difference of these is 2 kg.

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