# Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You s

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Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: A retailer makes a profit of 25% after giving a discount of 20% on the marked price of an article. if he makes a profit of Rs 1800 on the sale of the article, then the marked price is.

Quantity B: Rs 10000

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B
5. Quantity A = Quantity B or No relation

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Correct Answer - Option 1 : Quantity A > Quantity B

Given:
Profit = 25%

Discount = 20%

Profit = Rs 1800

Calculation:

From Quantity A,

Let the M.P is Rs 100

∴ S.P = 80% of 100 = Rs 80

S.P is 125% of C.P,

∴ C.P =80/125 × 100 = Rs 64

Profit = 80 - 64 = Rs 16

So, Profit is Rs 16 for M.P Rs 100

For profit to be Rs 1800,

M.P = 100/16 × 1800 = 25 × 450

⇒ Rs 11250

∴ The M.P is Rs 11250

Quantity B = Rs. 10,000

∴ Quantity A > Quantity B