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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 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%
2. A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.
- Rs.1200
- Rs.1230
- Rs.1260
- Rs.1290
Answer: Option C
Explanation:
Let the new S.P. be x, then.
(100 - loss%):(1st S.P.) = (100 + gain%):(2nd S.P.)
\begin{aligned}
=>\left( \frac{95}{1140} = \frac{105}{x} \right) \\
=> x = 1260
\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. 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}
5. 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
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