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100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit is

  • \begin{aligned} 12\frac{2}{7} \% \end{aligned}
  • \begin{aligned} 13\frac{2}{7} \% \end{aligned}
  • \begin{aligned} 14\frac{2}{7} \%\end{aligned}
  • \begin{aligned} 15\frac{2}{7} \% \end{aligned}

Answer: Option C

Explanation:

So before solving this question we will get the C.P. and S.P. of 1 article to get the gain percent.

C.P. of 1 orange = 350/100 = Rs 3.50
S.P. of one orange = 48/12 = Rs 4 [note: divided by 12 as 1 dozen contains 12 items]
Gain = 4 - 3.50 = Rs 0.50
\begin{aligned}
Gain\% = \frac{0.50}{3.50}*100 \\
= \frac{100}{7}\%
= 14\frac{2}{7}\%
\end{aligned}

Similar Questions :

1. 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%

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. 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

4. 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}

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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