A seller of a pen was asking for such price that would enable him to

Question

A seller of a pen was asking for such price that would enable him to offer 10% discount and make a profit of 20% on cost. If the cost of the pen was $ 30, what was his asking price ?

A) 32
B) 34
C) 36
D) 38
E) 40

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Madhvendrasinh · Answer

IMO E 
Because 20% profit on cost:
20% of 30 which is $6, now price with profit is $36 but this price is after deducting 10% discount.

Hence, the Asking price is $40, discounted price is $36 and profit is $6.

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Purnank · Answer

Cost price given is $30.
Selling Price consisting 20% profit = 1.2 * 30 = $36, Which is equal to 90% of asking price (after 10% discount).
0.9 * Asking price = $ 36.

Therefore, Asking Price = 36/0.9 = $ 40.
Hence E.

Nidzo · Answer

Let the cost =  c  and let profit =  p .

A price that would enable him to offer 10% discount and make a profit of 20% on cost:   \frac{9}{10}(c+p)=\frac{12}{10}c   asking price will be c+p ]

\frac{9}{10}p = \frac{3}{10}c

We are told that  c = 30 , plugging that into the above:  \frac{9}{10}p = \frac{3}{10}(30)

\frac{9}{10}p = 9

p = 10

Therefore  c+p = 30+10 = 40

ANSWER E

a191291r · Answer

Asking Price = x

Offered 10% discount, means Selling price = 90%*x = 0.9x

Cost = $30

Profit = 20% of Cost = 0.2*30 = $6

Also, Profit = Selling price - Cost
Which gives 6 = 0.9x - 30

Simplifying gives x = 40

Answer is E

A seller of a pen was asking for such price that would enable him to

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A seller of a pen was asking for such price that would enable him to

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