Question

If the price of sugar is decreased by 18%, then a person can buy 16.2kg sugar more in 4500. What will be the new price(₹) of sugar per kg?

Answer 1

Step-by-step explanation:

Given If the price of sugar is decreased by 18%, then a person can buy 16.2 kg sugar more in 4500. What will be the new price(₹) of sugar per kg?

• Let the price of sugar per kg be Rs 100 s
• So a person bought sugar for Rs 4500 will be = 4500 / 100 s  kg
• Now price of sugar will be 100 s – (18 / 100 x 100 s)  = Rs 82 s
• Therefore sugar purchased for Rs 4500 = 4500 / 82 s kg
• Now according to the question we get
• 4500 / 100 s + 16.2 = 4500 / 82 s
• 4500 / 82 s – 4500 / 100 s = 16.2
• 4500 (1/82 s – 1/100 s) = 16.2
• 100 s – 82 s / 8200 s^2 = 16.2 / 4500
• 18 s / 8200 s^2 = 16.2 / 4500
• 8200 s x 16.2 = 18 x 4500
• Or s = 18 x 4500 / 8200 x 16.2
• Or s = 25 / 41

Therefore now price will be 82 x 25 / 41 = Rs 50

Reference link will be

https://brainly.in/question/8005301