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Question
Sarika sold an article for 864 after giving 28% discount on the labelled price and made 44% profit on the
0133
AT
cost price. What would have been the percentage profit on the cost price, if she had sold the article on 21%
discount instead of 28%?
0.45%
28733116
287
60%
287331160
950%
O 55%
28733716047
23733776047
79424​

Answer 1

Answer:

Since we don’t know the cost of the article it is ok to assume a value initially.

Let the CP of each article =1 unit.

CP of 20 articles =20 units

SP of x articles=CP of 20 articles= 20 units

SP of 1 article = 20/x

using formula Profit%=((SP-CP)/CP)*100 for 1 article as profit% is a constant for each article.

25=(((20-x)/x)/1)*100 | 25x/100 = 20-x | x/4 = 20-x | 5x=80

solving we get x=16 units.

Answer 2

Answer :-

→ SP = Rs.864

→ Discount = 28%

so,

→ MP = SP * 100 / (100 - Discount %) = (864 * 100) / 72 = Rs.1200

and,

→ CP at 44% profit = SP * 100 / (100 + profit %) = (864 * 100) / 144 = Rs.600 .

now,

→ MP = Rs.1200

→ Discount = 21%

→ SP = MP * (100 - discount%)/100 = (1200 * 79)/100 = Rs.948 .

then,

→ Profit = SP - CP = 948 - 600 = Rs.348

therefore,

→ Profit % = (Profit * 100) / CP = (348 * 100) / 600 = 58% (Ans.)

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