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With the market price coming down by 25%, Sita is able to procure 1 kg of sugar more for Rs.30. What is the original price of sugar?
Question

With the market price coming down by 25%, Sita is able to procure 1 kg of sugar more for Rs.30. What is the original price of sugar?

A.

Rs.7.30

B.

Rs.7.50

C.

Rs.10

D.

Rs.16.50

Correct option is C

Given:
Price drop of 25%, she can now buy 1 kg more
Solution:

Let original price of the sugar 1 kg be Rs. 4x

=> Price of 1 kg sugar after decrease = 4x × 3/4 = Rs. 3x

According to the question

30/3x – 30/4x = 1

=> (4 – 3)/12x = 1/30

=> 1/12x = 1/30

=> x = 30/12

=> x = 2.5

∴ Original Price of 1 kg sugar = 4 × 2.5 = Rs. 10

Other method

Ratio of price original to after = 4 : 3

Consumption of sugar original to after = 3 : 4

4 – 3 = 1 unit

=> 1 unit = 1 kg

=> 3 unit = 3 kg

∴ Original cost price of 1 kg sugar = 30/3 = Rs. 10

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