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 \(x\)
Answer: D
The cost price (CP) of one article \(=1\)
\(\Rightarrow\) CP of \(x\) articles \(=x\) ...........................(Equation 1)
CP of \(20\) articles \(= 20\)
Given that cost price of \(20 \) articles is the same as the selling price of \(x\) articles
\(\Rightarrow\) Selling price (SP) of \(x\)articles \(= \)\(20\) ............(Equation 2)
Given that Profit \(= 25\)%
Enter details here
In a certain store, the profit is 270% of the cost. If the cost increases by 30% but the selling price remains constant, approximately what %ge of the selling price is the profit.
Answer: C
Let Cost Price \(= Rs . 100.\)
Then, Profit \(= Rs. 270,\)
Selling Price \(Rs. 370.\)
New Cost Price \(= 130\)% of \(Rs. 100 = Rs. 130\)
New Selling Price \(= Rs. 370.\)
Profit \(= Rs. (370 - 130) = Rs. 240\)
Required percentage \(= (\frac{240}{370}) \times 100 = 64.86 = 65\)% (approx)
Enter details here
A shopkeeper expects a gain of \(22.5\) % on his cost price. If in a week, his sale was of \(Rs. 392,\) what was his profit?
Answer: C
Cost Price \(= Rs. (\frac{100}{122.5} \times 392) = Rs. (\frac {1000}{1225} \times 392) = Rs. 320\)
\(\therefore \) Profit \(= Rs. (392 - 320) = Rs. 72\)
Enter details here
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?
Answer: B
Let Cost price \(= Rs. 100.\) Then, Profit \(= Rs. 320\)
Selling price \(= Rs. 420.\)
New Cost price \(= 125\)% of \(Rs. 100 = Rs. 125\)
New Selling price \(= Rs. 420.\)
Profit \(= Rs. (420 - 125) = Rs. 295.\)
\(\therefore\) Required percentage \(= (\frac{295}{420} \times 100)\)% \(= \frac{1475}{21}\)% \(= 70\)%(approximately)
Enter details here
A dealer offers a cash discount of \(20\) % and still makes a profit of \(20\) %, when he further allows \(16 \) articles to a dozen to a particularly sticky bargainer. How much per cent above the cost price were his wares listed ?
Answer: A
MP \(= \frac{120}{(\frac{80}{100})} = 150\)
Now he is selling 16 goods to a dozen(ie 12),
so his loss \(= {\frac{(16-12)}{16}} \times 100 = 25\) %.
Then the actual MP \(\frac{150}{(\frac{75}{100})} = 200\)
Hence, he has marked the MP \(100\) ?ove the CP.
Enter details here
When a plot is sold for \(Rs. 18,700,\) the owner loses \(15\) %. At what price must that plot be sold in order to gain \(15\) %?
Answer: C
\(85 : 18700 = 115 : x\)
\(\Rightarrow x = (\frac{18700 \times 115}{85}) = 25300.\)
Heance, Selling Price \(= Rs. 25,300.\)
Enter details here
A Shopkeeper buys \(two \) bicycles for \(Rs. 750.\) He sells first bicycle at a profit of \(22\) % and he second bicycle at a loss of \(8\)%. What is the Selling Price of first bicycle if in the whole transaction there is no profit no loss?
Answer: B
Cost Price of bicycle \(= x\)
Then Cost Price of \(2nd\) bicycle is \(750 - x.\)
Their Selling Price be \(\frac{122}{100} \times x\) and \(\frac{92}{100} \times (750 - x)\)
Given that there is no profit no loss.
\(\frac{122}{100} \times x + \frac{92}{100} \times (750 - x) = 750\)
\(\Rightarrow 122x + 750 \times 92 - 92x = 750 \times 100\)
\(\Rightarrow 122x - 92x = 750 \times 100 - 750 \times 92\)
\(\Rightarrow 30x = 750 \times (100 - 92)\)
\(x = 200.\)
Selling Price of \(1st\) bicycle \(= \frac{122}{100} \times 200 = Rs 244.\)
Enter details here
If Arko sells an article at \(\frac{4}{5}\)th of its selling price and secures a profit of \(20\)%, what will be the profit or loss percentage if he sells it at the actual selling price?
Answer: C
Let Cost Price is \(Rs. 100\)
Profit \(20\)% Means \(\Rightarrow 120.\)
\(120 = \frac{4}{5SP} \Rightarrow SP = 150.\)
Then profit percentage is \(50\)%
Enter details here
\(100 \) oranges are bought at the rate of \(Rs. 350\) and sold at the rate of \(Rs. 48\) per dozen. The percentage of profit or loss is:
Answer: A
Cost Price of 1 orange \(= Rs. (\frac{350}{100}) = Rs. 3.50\)
Selling Price of 1 orange \(= Rs. (\frac{48}{12}) = Rs. 4\)
\(\therefore\) Gain % = \((\frac{0.50}{3.50} \times 100)\) % \(= \frac{100}{7}\) % \(= 14\frac{2}{7}\) %
Enter details here
Some articles were bought at 6 articles for\( Rs. 5\) and sold at 5 articles for \(Rs. 6.\) Gain percent is:
Answer: D
Suppose, number of articles bought \(= L.C.M.\) of \(6\) and \(5 = 30.\)
Cost Price of \(= Rs. (\frac{5}{6} \times 30) = Rs. 25.\)
Selling Price of \(30\) articales \(= Rs. (\frac{6}{5} \times 30) = Rs. 36.\)
\(\therefore\) Gain % \(= (\frac{11}{25} \times 100)\) % \(= 44\) %.
Enter details here