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Question Detail
A shopkeeper expects a gain of 45/2 % on his C.P. If his sale was Rs. 392, then find his profit.
- Rs. 70
- Rs. 72
- Rs. 74
- Rs. 76
Answer: Option B
Explanation:
We Know,
\begin{aligned}
S.P. = \left( \frac{100+gain\%}{100} * C.P \right)\\
=> C.P. = \frac{100}{122.50}* 392 \\
= 320 \\
Profit = 392 -320 = Rs 72
\end{aligned}
1. 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.
2. 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}
3. 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}
4. 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}
5. 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}
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