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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}

Similar Questions :

1. In terms of percentage profit, which among following the best transaction.

  • C.P. 36, Profit 17
  • C.P. 50, Profit 24
  • C.P. 40, Profit 19
  • C.P. 60, Profit 29

Answer: Option D

Explanation:

Hint: Calculate profit percent as

Profit% = (profit/cost) * 100

2. A TV is purchased at Rs. 5000 and sold at Rs. 4000, find the lost percent.

  • 10%
  • 20%
  • 25%
  • 28%

Answer: Option B

Explanation:

We know, C.P. = 5000
S.P. = 4000
Loss = 5000 - 4000 = 1000
\begin{aligned}
Loss\% = \left( \frac{Loss}{Cost} * 100 \right)\% \\
= \left( \frac{1000}{5000} * 100 \right)\% = 20\%
\end{aligned}

3. A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent

  • 1%
  • 2%
  • 3%
  • 4%

Answer: Option D

Explanation:

So we have C.P. = 27.50
S.P. = 28.60

Gain = 28.60 - 27.50 = Rs. 1.10

\begin{aligned}
Gain\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\
= \left( \frac{1.10}{27.50} * 100 \right)\% = 4\%
\end{aligned}

4. 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%

5. 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.

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