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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.

Similar Questions :

1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x

  • 13
  • 14
  • 15
  • 16

Answer: Option D

Explanation:

Let the Cost Price of one article = Rs. 1
CP of x articles = Rs. x
CP of 20 articles = 20
Selling price of x articles = 20

Profit = 25% [Given]

\begin{aligned}
\Rightarrow \left (\dfrac{SP - CP }{CP}\right ) = \dfrac{25}{100} = \dfrac{1}{4}

& \Rightarrow \dfrac{\left(20-x \right )}{x} = \dfrac{1}{4} \\
& \Rightarrow 80 - 4x = x \\
& \Rightarrow 5x = 80 \nonumber \\
& \Rightarrow x = \dfrac{80}{5} = 16 \\

\end{aligned}

2. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

  • 130%
  • 140%
  • 150%
  • 160%

Answer: Option B

Explanation:

Let the C.P. = x,
Then S.P. = (120/100)x = 6x/5
New S.P. = 2(6x/5) = 12x/5

Profit = 12x/5 - x = 7x/5

Profit% = (Profit/C.P.) * 100
=> (7x/5) * (1/x) * 100 = 140 %

3. 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}

4. A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.

  • \begin{aligned} 5\frac{12}{17}\% \end{aligned}
  • \begin{aligned} 5\frac{13}{17}\% \end{aligned}
  • \begin{aligned} 5\frac{14}{17}\% \end{aligned}
  • \begin{aligned} 5\frac{15}{17}\% \end{aligned}

Answer: Option D

Explanation:

In this type of question, we will first find total C.P. of items, then total S.P. of items, then we will get gain or loss. From which we can easily calculate its percentage.

So lets solve it now.
\begin{aligned}
\text{So, C.P. of 1st transistor = }\\
\left( \frac{100}{120} * 840 \right) = 700 \\

\text{C.P. of 2nd transistor = }\\
\left( \frac{100}{96} * 960 \right) = 1000 \\

\text{Total C.P. = 1700 }\\
\text{Total S.P. = 1800 }\\
\text{Gain = 1800 - 1700 = 100}\\
\text{Gain% = } \left( \frac{100}{1700} * 100 \right) \\
= 5\frac{15}{17}\%
\end{aligned}

5. A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.

  • Rs 25300
  • Rs 22300
  • Rs 24300
  • Rs 21300

Answer: Option A

Explanation:

This type of question can be easily and quickly solved as following:

Let at Rs x it can earn 15% pr0fit
85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]

x = (18700*115)/85
= Rs.25300

Read more from - Profit and Loss Questions Answers