Question Detail
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}
1. A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was
- Rs 100
- Rs 150
- Rs 200
- Rs 250
Answer: Option C
Explanation:
Let original Cost price is x
Its Selling price = 105/100 * x = 21x/20
New Cost price = 95/100 * x = 19x/20
New Selling price = 110/100 * 19x/20 = 209x/200
[(21x/20) - (209x/200)] = 1
=> x = 200
2. 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}
3. 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 percentage
- \begin{aligned} 4\frac{1}{2} \end{aligned}
- \begin{aligned} 3\frac{1}{2} \end{aligned}
- \begin{aligned} 2\frac{1}{2} \end{aligned}
- \begin{aligned} 1\frac{1}{2} \end{aligned}
Answer: Option 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}
4. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
- 70%
- 80%
- 90%
- None of above
Answer: Option A
Explanation:
Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295
Required percentage = (295/420) * 100
= 70%(approx)
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.