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Question Detail
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}
1. 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}
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 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}
4. A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
- 4%
- 5%
- 6%
- 7%
Answer: Option D
Explanation:
Gain % = (164.36*100/2400) = 6.84 % = 7% approx
5. 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}
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