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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.

  • 14
  • 15
  • 16
  • 17

Answer: Option C

Explanation:

Let the cost price 1 article = Re 1
Cost price of x articles = x
S.P of x articles = 20

Gain = 20 -x

\begin{aligned}
=> 25 = \left( \frac{20-x}{x} * 100 \right) \\
=> 2000 - 100x = 25 x \\
=> x = 16
\end{aligned}

Similar Questions :

1. If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is

  • 20%
  • 25%
  • 30%
  • 35%

Answer: Option B

Explanation:

Let the Cost Price of 1 item = Re. 1
Cost Price of 16 items = 16
Selling Price of 16 items = 12

Loss = 16 - 12 = Rs 4

Loss % = (4/16)* 100 = 25%

2. A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

  • Rs. 660
  • Rs. 760
  • Rs. 860
  • Rs. 960

Answer: Option D

Explanation:

Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P

So here will be (100 - x)% of C.P.
= 80% of 1200
= 80/100 * 1200
= 960

3. A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

  • 18%
  • 20%
  • 22%
  • 24%

Answer: Option B

Explanation:

Let the cost price = Rs 100
then, Marked price = Rs 135

Required gain = 8%,
So Selling price = Rs 108
Discount = 135 - 108 = 27

Discount% = (27/135)*100 = 20%

4. Which among following options are true relating to this question :

Ram sold a card and makes 20% profit out of it, how much profit he actually earned ?

1. Difference between cost price of card and selling price of card is Rs. 40.
2. Selling price of card is 120% of cost price of card.

  • Either 1 and 2 are sufficient to answer
  • Either 1 and 2 are not sufficient to answer
  • 1 is sufficient to answer alone, 2 is not sufficient to answer
  • 2 is sufficient to answer alone, 1 is not sufficient to answer

Answer: Option C

Explanation:

From the question it is clear that, Gain is 20%
From 1, it is clear that S.P. - C.P. = 40, so it is sufficient to get answer.
While 2 is not sufficient to get answer.

5. A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?

  • 2% Profit
  • 3% Profit
  • 2% Loss
  • 3% Loss

Answer: Option B

Explanation:

Please remember
\begin{aligned}
S.P. = \left( \frac{100+gain\%}{100} * C.P \right)\\
\text{So, C.P. = }\left( \frac{100}{110} * 25.75 \right)\\
\text{When S.P. = 25.75 then } \\
Profit = 25.75 - 25 = Re. 0.75 \\

Profit\% = \frac{0.75}{25} * 100 = 3\%

\end{aligned}

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