Question

if the price of sugar decreased by rupees 5 per kg one can buy 1 kg more sugar in Rupees 150 what is the price of the sugar

Answer 1

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Answer 2

The price of sugar is Rs.30.

Step-by-step explanation:

Given : If the price of sugar decreased by rupees 5 per kg one can buy 1 kg more sugar in Rupees 150.

To find : What is the price of the sugar ?

Solution :

Let the price of sugar be 'x'.

Let the amount of sugar one can buy be 'y'.

According to question,

$xy=150$ ....(1)

$(x-5)(y+1)=150$ ....(2)

Solving (1) and (2),

Substitute y from (1) in (2),

$(x-5)(\frac{150}{x}+1)=150$

$(x-5)(\frac{150+x}{x})=150$

$(x-5)(150+x)=150x$

$150x+x^2-750-5x=150x$

$x^2-5x-750=0$

$x^2-30x+25x-750=0$

$x(x-30)+25(x-30)=0$

$(x-30)(x+25)=0$

$x=30,-25$

Reject x=-25.

So, the price of sugar is Rs.30.

#Learn more

If the price of sugar decreases by rupees 5 per kg one can buy 1 kg more sugar in Rupees 150 what is the price of the sugar?

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