Question

A reduction of 20% in the price of sugar enables a family to purchase 5kg more for rs160.what is the reduced price per kg?what was the price per kg before reduction?

Answer 1

this is the answer the new price is Rs.6.4/kg

Answer 2

Answer:

Original Price of Sugar is Rs. 8 and reduced price is Rs. 6.4

Step-by-step explanation:

Let the original Price of sugar be x

the original Quantity of sugar be y

xy = 160 ...........(1)

According to the question,

$(x-\frac{20}{100}x)(y+5)=160$

$xy-\frac{20}{100}xy+5x-\frac{20\times5}{100}x=160$

$160-\frac{1}{5}\times160+5x-x=160$

$-32+4x=0$

4x = 32

x = 8

Price after reduction = 8 - 20/100 × 8 = 6.4

Therefore, Original Price of Sugar is Rs. 8 and reduced price is Rs. 6.4