A man buys a cycle for \(Rs. 1400\) and sells it at a loss of \(15\) %. What is the selling price of the cycle?
Answer: C
A 15% loss leaves 85% of the cost price.
\[ 1400 \times 0.85 = \text{Rs. } 1190 \]
The loss itself is Rs. 210.
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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 \(= 25\)%
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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)
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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 \(= Rs. (392 - 320) = Rs. 72\)
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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)
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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.
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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 \(= Rs. 25,300.\)
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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 \(= \frac{122}{100} \times 200 = Rs 244.\)
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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 \(50\)%
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\(100 \) 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 % = \((\frac{0.50}{3.50} \times 100)\) % \(= \frac{100}{7}\) % \(= 14\frac{2}{7}\) %
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