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Question Detail
A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
- 20%
- 21%
- 22%
- 23%
Answer: Option B
Explanation:
\begin{aligned}
Gain\% = \\ \left( \frac{(100 + \text{common gain}\%)^2}{100} - 100 \right)\% \\
= \left( \frac{(100 + 10)^2}{100} - 100 \right)\% \\
= \left( \frac{12100 - 10000}{100}\right)\% \\
= 21\%
\end{aligned}
1. A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
- 20%
- 21%
- 22%
- 23%
Answer: Option B
Explanation:
\begin{aligned}
Gain\% = \\ \left( \frac{(100 + \text{common gain}\%)^2}{100} - 100 \right)\% \\
= \left( \frac{(100 + 10)^2}{100} - 100 \right)\% \\
= \left( \frac{12100 - 10000}{100}\right)\% \\
= 21\%
\end{aligned}
2. Akhil purchased 70kg vegetable at Rs. 420, then sold them at the rate of Rs. 6.50 per kg, find the profit percent.
- \begin{aligned} 8\frac{1}{3}\% \end{aligned}
- \begin{aligned} 7\frac{1}{3}\% \end{aligned}
- \begin{aligned} 6\frac{1}{3}\% \end{aligned}
- \begin{aligned} 5\frac{1}{3}\% \end{aligned}
Answer: Option A
Explanation:
Please note in this type of questions, get the value of 1 kg to solve this question, lets solve it.
C.P. of 1 Kg = 420/70 = Rs. 6
Selling Price = 6.50
Gain = Rs. 0.50
\begin{aligned}
Gain\% = \frac{.50}{6}*100 \\
= 8\frac{1}{3}\%
\end{aligned}
3. 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}
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. Which among following options are true relating to this question :
Ram sold a card and makes 20% profit out of it, how much profit he actually earned ?
1. Difference between cost price of card and selling price of card is Rs. 40.
2. Selling price of card is 120% of cost price of card.
- Either 1 and 2 are sufficient to answer
- Either 1 and 2 are not sufficient to answer
- 1 is sufficient to answer alone, 2 is not sufficient to answer
- 2 is sufficient to answer alone, 1 is not sufficient to answer
Answer: Option C
Explanation:
From the question it is clear that, Gain is 20%
From 1, it is clear that S.P. - C.P. = 40, so it is sufficient to get answer.
While 2 is not sufficient to get answer.
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