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Question Detail
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.
1. 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}
2. If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
- Rs. 750
- Rs. 800
- Rs. 850
- Rs. 900
Answer: Option B
Explanation:
Let the cost of Production = Rs. P
Then, as per question,
\begin{aligned}
=> \left( \frac{125}{100} *\frac{115}{100}*\frac{110}{100} * P \right) = 1265\\
=> \frac{253}{160}P = 1265 \\
=> P = 800
\end{aligned}
3. A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage
- \begin{aligned} 4\frac{1}{2} \end{aligned}
- \begin{aligned} 3\frac{1}{2} \end{aligned}
- \begin{aligned} 2\frac{1}{2} \end{aligned}
- \begin{aligned} 1\frac{1}{2} \end{aligned}
Answer: Option C
Explanation:
We need to get the Total selling price to solve this question. Because after getting selling price we can get profit or loss, then we can calculate profit% or loss%
So lets solve this:
Price Received by selling one fourth of the material at a loss of 20% =
(1/4) * 600 * (80/100) = Rs. 120
Price Received by remaining material at a gain of 10% =
(3/4) * 600 * (110/100) = Rs. 495 [Note: 1-(1/4) = 3/4]
Total Selling Price = 120 + 465 = Rs. 615
Profit = 615 - 600 = 15
\begin{aligned}
Profit\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\
= \left( \frac{15}{600} * 100 \right)\% \\
= \frac{5}{2}\% = 2\frac{1}{2}\%
\end{aligned}
4. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is
- \begin{aligned} \frac{6}{19}\% \end{aligned}
- \begin{aligned} \frac{6}{17}\% \end{aligned}
- \begin{aligned} 5\frac{5}{11}\% \end{aligned}
- \begin{aligned} 3\frac{5}{11}\% \end{aligned}
Answer: Option C
Explanation:
Whenever we get this type of question, we should have formula in mind that,
Gain% = (gain/cost)*100
Cost = 4700 + 800 = Rs. 5500
S.P. = Rs. 5800
Profit = 5800 - 5500 = 300
\begin{aligned}
Gain\% = \frac{300}{5500}*100 \\
= 5\frac{5}{11}\%
\end{aligned}
5. If the cost price is 25% of selling price. Then what is the profit percent.
- 150%
- 200%
- 300%
- 350%
Answer: Option C
Explanation:
Let the S.P = 100
then C.P. = 25
Profit = 75
Profit% = 75/25 * 100 = 3005
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