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Question Detail
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}
1. If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is
 20%
 25%
 30%
 35%
Answer: Option B
Explanation:
Let the Cost Price of 1 item = Re. 1
Cost Price of 16 items = 16
Selling Price of 16 items = 12
Loss = 16  12 = Rs 4
Loss % = (4/16)* 100 = 25%
2. The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is
 51:52
 52:53
 53:54
 54:55
Answer: Option B
Explanation:
Let the Cost price of article is Rs. x
Required ratio =
\begin{aligned}
\frac{104\% \text{ of } x}{106\% \text{ of } x} \\
= \frac{104}{106} = \frac{52}{53} = 52:53
\end{aligned}
3. 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}
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. 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(20x \right )}{x} = \dfrac{1}{4} \\
& \Rightarrow 80  4x = x \\
& \Rightarrow 5x = 80 \nonumber \\
& \Rightarrow x = \dfrac{80}{5} = 16 \\
\end{aligned}
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