Question

A reduction of 10 % in the price of potatoes enables a person to buy 2 kg potatoes more for Rs 240. Find the reduced price and original price per kg of potatoes.
​

Answer 1

Dear Student,

◆ Answer -

Original price = 13.33 Rs

Reduced price = 12 Rs

● Explanation -

Let x be original price of potatoes and y be original amount of potatoes.

Initially,

x × y = 240

Finally,

9x/10 × (y+2) = 240

x × (y+2) = 240×10/9

xy + 2x = 800/3

240 + 2x = 800/3

2x = 800/3 - 240

2x = 80/3

x = 40/3

x = 13.33 Rs

Solve for y,

13.33 × y = 240

y = 240 / 13.33

y = 18 kg

Reduced price is -

x' = x × 9/10

x' = 13.33 × 9/10

x' = 12 Rs

Hope this helps you...