Each of the questions consists of a question followed by three statements. You have to study the question followed by three statements and decide which of the statements is/are necessary to answer the questions.
What was the percentage of discount offered ?
A. Profit earned by selling the article for Rs. 252 after giving discount was Rs. 52.
B. Had there been no discount the profit earned would have been Rs. 80.
C. Had there been no discount the profit earned would have been 40%.
I : S.P. = 252, Profit = 52
=> C.P. = 252-52 = 200
Since, we cannot find discount and marked price. I alone is not sufficient.
Similarly, II alone & III alone are insufficient.
I & II : After discount, S.P. = 252, Profit = 52
=> C.P. = 252-52 = 200
Without discount (Discount = 0 & M.P. = S.P.), Profit = 80 => M.P. = S.P. = 200+80 = 280
Thus, discount = 280-252 = 28
Discount % = $$\frac{28}{280}*100 = 10\%$$
Thus, I & II together are sufficient.
I & III : After discount, S.P. = 252, Profit = 52
=> C.P. = 252-52 = 200
Without discount (Discount = 0 & M.P. = S.P.), Profit % = 40%
Profit = $$\frac{40}{200}*100 = 80
M.P. = S.P. = 200+80 = 280
Thus, discount = 280-252 = 28
Discount % = $$\frac{28}{280}*100 = 10\%$$
Thus, I & III are sufficient together.
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