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Bunuel
A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was $50 what was his asking price?

A. 65
B. 81.25
C. 85
D. 90
E. 78

Cost =50$ so for 30% profit he must sell it at 50*1.3=65$

If 65% is after 20% discount then price before discount is 65/80%=81.25 IMO B
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Jansaida
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Bunuel
A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was $50 what was his asking price?

A. 65
B. 81.25
C. 85
D. 90
E. 78


Discount = 20%

Profit Margin = 30%

Cost price = 50.

Selling Price = 50 * 130% = 50 * 130/100 = 65.

65 is basically selling price after charging the discount . It means 65 is 80% of asking price.

Asking Price = 65/80 * 100 = 81.25.

B is the correct answer.


I believe the question is just asking for Selling Price. I mean a price which would result in both the discount and profit at the same time. Please correct me if I am wrong. Thank you.

Jansaida from Stem"while selling an item, was asking for such a price" so requirement is before discount
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Bunuel
A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was $50 what was his asking price?

A. 65
B. 81.25
C. 85
D. 90
E. 78

simply do reverse calculation as to what could have got the trader to sell at 50$
50*1.3=65$
65/0.8 = 81.25 $
IMO B
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Minor typo: "him to of, a 20% discount"

First step:

We have to identify the profit: C (50) * 1.3 (30% Profit) = 65

Then we identify the discount: 65 (Selling price after discount) : 0.8 (20% discount offered on initial price) = 81.25

AC B!
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Bunuel
A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was $50 what was his asking price?

A. 65
B. 81.25
C. 85
D. 90
E. 78

CP + P = SP = MP - D

Or, \(50 + 30\)% of \(50\) = SP = \(\frac{100 - 20}{100}*MP\)

Or, 65 = SP = \(\frac{80}{100}*MP\)

Or, 65 = \(\frac{80}{100}*MP\)

Or, MP = 81.25 , Answer must be (B)
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Bunuel
A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was $50 what was his asking price?

A. 65
B. 81.25
C. 85
D. 90
E. 78

We can create the equation:

P = 0.3C

0.8R - C = 0.3C

0.8R = 1.3C

8R = 13(50)

8R = 650

R = 81.25

Answer: B
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Bunuel
A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was $50 what was his asking price?

A. 65
B. 81.25
C. 85
D. 90
E. 78

Suppose, he was asking 100x tk.
After 20% discount it is 80x.
So, 80x = 130% of C (Cost is given 50)
=> 80x=65
\(=>100x=\frac{65×100x}{80x}\)=\(\frac{325}{4}=81.25\)


Answer is B

Posted from my mobile device
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Here is my solution:

Assume the asking price is X

(0.8X - 50)/50 = 0.3

solving function, gives X = 81.25
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