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In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option. Statement I. The cost price of an item is Rs. 12000. What is the selling price if a profit of 25% is earned on it? Statement II. The cost price of an item is Rs. 12000. The profit earned after giving a discount of 15% is 18%. What is the marked price?

In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option. Statement I. The cost price of an item is Rs. 12000. What is the selling price if a profit of 25% is earned on it? Statement II. The cost price of an item is Rs. 12000. The profit earned after giving a discount of 15% is 18%. What is the marked price? Correct Answer <div> <p>Quantity I &lt; Quantity II</p> </div>

Formula:

Sell price = (100 + x)% of cost price

Marked price = sell price × 100/(100 – y)

Where x is profit percent, y is discount percent

Statement I.

Sell price = 125% of 12000 = Rs. 15000

Statement II.

Sell price = 118% of 12000 = Rs. 14160

Marked price = 14160 × 100/85 = Rs. 16658.82

∴ Quantity II < Quantity I

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