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Question Detail
If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
- Rs. 750
- Rs. 800
- Rs. 850
- Rs. 900
Answer: Option B
Explanation:
Let the cost of Production = Rs. P
Then, as per question,
\begin{aligned}
=> \left( \frac{125}{100} *\frac{115}{100}*\frac{110}{100} * P \right) = 1265\\
=> \frac{253}{160}P = 1265 \\
=> P = 800
\end{aligned}
1. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
- 130%
- 140%
- 150%
- 160%
Answer: Option B
Explanation:
Let the C.P. = x,
Then S.P. = (120/100)x = 6x/5
New S.P. = 2(6x/5) = 12x/5
Profit = 12x/5 - x = 7x/5
Profit% = (Profit/C.P.) * 100
=> (7x/5) * (1/x) * 100 = 140 %
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 cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.
- 14
- 15
- 16
- 17
Answer: Option C
Explanation:
Let the cost price 1 article = Re 1
Cost price of x articles = x
S.P of x articles = 20
Gain = 20 -x
\begin{aligned}
=> 25 = \left( \frac{20-x}{x} * 100 \right) \\
=> 2000 - 100x = 25 x \\
=> x = 16
\end{aligned}
4. 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
5. A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.
- \begin{aligned} 5\frac{12}{17}\% \end{aligned}
- \begin{aligned} 5\frac{13}{17}\% \end{aligned}
- \begin{aligned} 5\frac{14}{17}\% \end{aligned}
- \begin{aligned} 5\frac{15}{17}\% \end{aligned}
Answer: Option D
Explanation:
In this type of question, we will first find total C.P. of items, then total S.P. of items, then we will get gain or loss. From which we can easily calculate its percentage.
So lets solve it now.
\begin{aligned}
\text{So, C.P. of 1st transistor = }\\
\left( \frac{100}{120} * 840 \right) = 700 \\
\text{C.P. of 2nd transistor = }\\
\left( \frac{100}{96} * 960 \right) = 1000 \\
\text{Total C.P. = 1700 }\\
\text{Total S.P. = 1800 }\\
\text{Gain = 1800 - 1700 = 100}\\
\text{Gain% = } \left( \frac{100}{1700} * 100 \right) \\
= 5\frac{15}{17}\%
\end{aligned}
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