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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. 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. In terms of percentage profit, which among following the best transaction.
- C.P. 36, Profit 17
- C.P. 50, Profit 24
- C.P. 40, Profit 19
- C.P. 60, Profit 29
Answer: Option D
Explanation:
Hint: Calculate profit percent as
Profit% = (profit/cost) * 100
3. A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is
- 12%
- 13%
- 14%
- 15%
Answer: Option A
Explanation:
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Selling price = Rs. (8 x 21) = Rs. 168.
Profit = 168 - 150 = 18
So, Profit % = (18/150) * 100 = 12%
4. A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
- Rs 8.81
- Rs 9.81
- Rs 10.81
- Rs 11.81
Answer: Option D
Explanation:
85 : 9 = 105 : x
x= (9×105/85)
= Rs 11.81
5. 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}
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