11) A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percent
- 1) \begin{aligned} 4\frac{1}{2} \end{aligned}
- 2) \begin{aligned} 3\frac{1}{2} \end{aligned}
- 3) \begin{aligned} 2\frac{1}{2} \end{aligned}
- 4) \begin{aligned} 1\frac{1}{2} \end{aligned}
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Ans. C
Explanation :
We need to get the Total selling price to solve this question. Because after getting selling price we can get profit or loss, then we can calculate profit% or loss%
So lets solve this:
Price Received by selling one fourth of the material at a loss of 20% =
(1/4) * 600 * (80/100) = Rs. 120
Price Received by remaining material at a gain of 10% =
(3/4) * 600 * (110/100) = Rs. 495 [Note: 1-(1/4) = 3/4]
Total Selling Price = 120 + 465 = Rs. 615
Profit = 615 - 600 = 15
\begin{aligned}
Profit\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\
= \left( \frac{15}{600} * 100 \right)\% \= \frac{5}{2}\% = 2\frac{1}{2}\%
\end{aligned}
12) A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2
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Ans. D
Explanation :
Gain % = (164.36*100/2400) = 6.84 % = 7% approx
13) A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain
- 1) 20%
- 2) 21%
- 3) 22%
- 4) 23%
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Ans. 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}
14) 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
- 1) 51:52
- 2) 52:53
- 3) 53:54
- 4) 54:55
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Ans. 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}
15) 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 article
- 1) Rs15
- 2) Rs 20
- 3) Rs 22
- 4) Rs 25
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Ans. 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
16) A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8%
- 1) 18%
- 2) 20%
- 3) 22%
- 4) 24%
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Ans. B
Explanation :
Let the cost price = Rs 100
then, Marked price = Rs 135
Required gain = 8%,
So Selling price = Rs 108
Discount = 135 - 108 = 27
Discount% = (27/135)*100 = 20%
17) 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
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Ans. 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(20-x \right )}{x} = \dfrac{1}{4} \& \Rightarrow 80 - 4x = x \\
& \Rightarrow 5x = 80 \nonumber \\
& \Rightarrow x = \dfrac{80}{5} = 16 \\
\end{aligned}
18) Akhil purchased 70kg vegetable at Rs. 420, then sold them at the rate of Rs. 6.50 per kg, find the profit percen
- 1) \begin{aligned} 8\frac{1}{3}\% \end{aligned}
- 2) \begin{aligned} 7\frac{1}{3}\% \end{aligned}
- 3) \begin{aligned} 6\frac{1}{3}\% \end{aligned}
- 4) \begin{aligned} 5\frac{1}{3}\% \end{aligned}
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Ans. 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}
19) 100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit
- 1) \begin{aligned} 12\frac{2}{7} \% \end{aligned}
- 2) \begin{aligned} 13\frac{2}{7} \% \end{aligned}
- 3) \begin{aligned} 14\frac{2}{7} \%\end{aligned}
- 4) \begin{aligned} 15\frac{2}{7} \% \end{aligned}
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Ans. 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}
20) A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that i
- 1) Rs. 660
- 2) Rs. 760
- 3) Rs. 860
- 4) Rs. 960
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Ans. D
Explanation :
Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P
So here will be (100 - x)% of C.P.
= 80% of 1200
= 80/100 * 1200
= 960