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A man got a discount of 10% on sugar at Big Mart which allowed him to buy 25 kg more for 225/-. What is the discounted price and the original price of
Question

A man got a discount of 10% on sugar at Big Mart which allowed him to buy 25 kg more for 225/-. What is the discounted price and the original price of the sugar per kg?

A.

50p, Rs.2

B.

70p, Rs.2

C.

80p, Rs.3

D.

90p, Rs.1

Correct option is D

Given:
A 10% discount on sugar allowed the man to buy 25 kg more for ₹225.
Concept Used: 
For the same expenditure, 
The ratio of the original price to the new price is inversely proportional to the original consumption to the new consumption.
Solution:
Price Comparison:

Original Price Ratio = 10 : 9

Consumption Ratio = 9 : 10

So, 

1 unit = 25 kg

9 units = 9 × 25 = 225 kg

So, Cost per kg at Original Price:

Total Cost = ₹225 for 225 kg

Therefore, 1 kg = ₹1 (Original Price)

Discounted Price per kg:

Discount = 90% of ₹1

Discounted Price = ₹0.90 or 90 paise

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