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Question Detail
A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item
- Rs. 660
- Rs. 760
- Rs. 860
- Rs. 960
Answer: Option D
Explanation:
Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P
So here will be (100 - x)% of C.P.
= 80% of 1200
= 80/100 * 1200
= 960
1. 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}
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. 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 pens is equal to the selling price of 8 pens, the gain percent is ?
- 12%
- 30%
- 50%
- 60%
Answer: Option C
Explanation:
Friends, we know we will need gain amount to get gain percent, right. So lets get gain first.
Let the cost price of 1 pen is Re 1
Cost of 8 pens = Rs 8
Selling price of 8 pens = 12
Gain = 12 - 8 = 4
\begin{aligned}
Gain\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\
= \left( \frac{4}{8} * 100 \right)\% = 50\%
\end{aligned}
5. 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}
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