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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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 % \(= (\frac{11}{25} \times 100)\) % \(= 44\) %.
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Profit earned by an organisation is distributed among officers and clerks in the ratio of 5 : 3. If the number of officers is 55 and the number of clerks is 70 and the amount received by each officer is Rs12,000, what was the total amount of profit earned?
Answer: C
The total amount distributed among 55 officers \(= Rs. 55 \times 1200 = Rs. 6,60,000.\)
Their ratio \(5:3\)
Total profit \(= 6,60,000 + 396000 = Rs 10,56,000.\)
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Sam purchased \(20 dozens\) of toys at the rate of \(Rs. 375\) per dozen. He sold each one of them at the rate of \(Rs. 33.\) What was his percentage profit?
Answer: C
Cost Price of \(1\) toy \(= Rs. (\frac{375}{12}) = Rs. 31.25\)
Selling Price of \(1\) toy \(= Rs. 33\)
So. Gain \(= Rs. (33 - 31.25) = Rs. 1.75\)
\(\therefore\) Profit % \(= (\frac{1.75}{31.25} \times 100)\) % \(= \frac{28}{5}\) % \(= 5.6\) %
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