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Question Detail
A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?
 2% Profit
 3% Profit
 2% Loss
 3% Loss
Answer: Option B
Explanation:
Please remember
\begin{aligned}
S.P. = \left( \frac{100+gain\%}{100} * C.P \right)\\
\text{So, C.P. = }\left( \frac{100}{110} * 25.75 \right)\\
\text{When S.P. = 25.75 then } \\
Profit = 25.75  25 = Re. 0.75 \\
Profit\% = \frac{0.75}{25} * 100 = 3\%
\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. A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles ?
 Rs15
 Rs 20
 Rs 22
 Rs 25
Answer: Option C
Explanation:
As question states that rate was of pair of articles,
So rate of One article = 37.40/2 = Rs. 18.70
Let Marked price = Rs X
then 85% of X = 18.70
=> X = 1870/85 = 22
3. 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
4. 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}
5. A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?
 2% Profit
 3% Profit
 2% Loss
 3% Loss
Answer: Option B
Explanation:
Please remember
\begin{aligned}
S.P. = \left( \frac{100+gain\%}{100} * C.P \right)\\
\text{So, C.P. = }\left( \frac{100}{110} * 25.75 \right)\\
\text{When S.P. = 25.75 then } \\
Profit = 25.75  25 = Re. 0.75 \\
Profit\% = \frac{0.75}{25} * 100 = 3\%
\end{aligned}
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