Susanta buys an old scooter for \(Rs. 4700\) and spends \(Rs. 800\) on its repairs. If he sells the scooter for \(Rs. 5800\), his gain percent is:
Answer: B
Cost Price (C.P.) \(= Rs. (4700 + 800) = Rs. 5500.\)
Selling Price (S.P.) \(= Rs. 5800.\)
Gain = (S.P.) - (C.P.) \(= Rs. (5800 - 5500) = Rs. 300.\)
Gain % \(= (\frac{300}{5500} \times 100)\)% \(= 5\frac{5}{11}\)%
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A person \(X\) sold an Item to \(Y\) at \(40\)% loss, then \(Y\) sold it to third person \(Z\) at \(40\)% profit and finally \(Z\) sold it back to \(X\) at \(40\)% profit. In this whole process what is the percentage loss or profit of X?
Answer: C
Let the Cost Price \(= Rs. 100.\) for \(X.\)
\(Y's\) Cost Price \(= Rs. 60.\)
\(Z's\) Cost Price \(= Rs. 84.\)
Finally, \(X's\) Cost Price \(RS. 117.6.\)
\(\therefore X's\) loss \(117.6 - 60 = Rs. 57.6\)
\(\therefore X's \) loss percentage \(= 57.6\)%
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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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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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The percentage profit earned by selling an article for \(Rs. 2120\) is equal to the percentage loss incurred by selling the same article for \(Rs. 1520.\) At what price should the article be sold to make \(25\)% profit?
Answer: A
The Cost Price be
\(2120 + 1500 = 3640\)
\(\frac{3640}{2} = 1820.\)
Selling Price \(= \frac{1820 \times 125}{100} = \frac{1820 \times 5}{4}\)
\(= Rs 2275\)
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A trader mixes \(26 kg\) of rice at \(Rs. 20\) per kg with \(30 kg\) of rice of other variety at \(Rs. 36\) per kg and sells the mixture at \(Rs. 30\) per kg. His profit percent is:
Answer: B
Cost Price of \(56 kg\) rice \(= Rs. (26 \times 20 + 30 \times 36) = Rs. (520 + 1080) = Rs. 1600.\)
Selling Price of \(56kg\) rice \(= Rs. (56 \times 30) = Rs. 1680.\)
\(\therefore\) Gain \(= (\frac{80}{1600} \times 100)\) % \(= 5\) %.
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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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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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