# CAT Practice : Percents, Profits

Discount Percentage

## Discount Percentage

Q.20: Given below is a question followed by three statements. Study the statements and decide which of the statement(s) is/are necessary to answer the question. What was the discount percentage given?
I) On selling the table, for Rs 12650, 26.5 %, Profit was earned
II) If there had been no discount, 30% would have been earned as profit.
III) The Cost price of the table was Rs 10000

1. Only I and II
2. Only II and III
3. Only I and III
4. Any two of the above
5. None of these.

Choice A. Only I and II

## Detailed Solution

From statement – I

S.P. = Rs 12650, Profit = 26.5%

∴ C.P = ${\frac{100}{126.5}}$ x 12650 = 10000

From statement II

Mark Price = 130% of C.P. = Rs 13000

∴ From statement I and II

Discount = Rs (13000 - 12650) = Rs 350

Discount % = ${\frac{350}{13000}}$ x 100 – Therefore, can be calculated

∴ Statement I and II can give the answer. However, statement II and III together cannot.

Correct Answer: Only I and II

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