If selling price is doubled, the profit triples. Find the profit percent.
Answer: B
Cost price be \(Rs. x\) and Selling price be \(Rs. y.\)
Then, \(3(y - x) = (2y - x) \)
\(\Rightarrow y = 2x\)
Profit \(= Rs. (y - x) = Rs. (2x - x) = Rs. x.\)
\(\therefore\) Profit % \(= (\frac{x}{x} \times 100)\) % \(= 100\) %
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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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The percentage profit earned by selling an article for \(Rs. 1920\) is equal to the percentage loss incurred by selling the same article for \(Rs. 1280.\) At what price shoule the article be sold to make \(25\) % profit?
Answer: A
Let Cost Price be \(Rs. x.\)
Then, \(\frac{1920 - x}{x} \times 100 = \frac{x - 1280}{x} \times 100\)
\(\Rightarrow 1920 - x = x - 1280\)
\(\Rightarrow 2x = 3200\)
\(\Rightarrow x = 1600\)
\(\therefore \) Required Selling Price \(= 125\) % of \(Rs. 1600 = Rs. (\frac{125}{100} \times 1600) = 2000.\)
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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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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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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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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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On selling \(17 balls\) at \(Rs. 720,\) there is a loss equal to the cost price of \(5 balls.\) The cost price of a ball is:
Answer: D
(Cost price of \(17 balls\)) - (Selling Price of \(17 balls\)) \(=\) (Cost Price of \(5balls\))
\(\Rightarrow\) Cost Price of \(12 balls\) = Selling Price of \(17 balls \) = \(Rs. 720.\)
\(\Rightarrow\) Cost Price of \(1 balls\) = \(Rs. (\frac{720}{12}) = Rs. 60.\)
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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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\(100 \) 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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