Profit, Loss and Discount Test

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Profit, Loss and Discount Test - 2

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Question 1
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Ramesh sold his scooter to Suresh for Rs. \(13500\) hereby gaining \(12.5 \%\) in the deal. Suresh spends Rs. \(1500\) on the scooter and after using it for some time he sold it back to Ramesh at \(20 \%\) loss. Find the profit of Ramesh in this overall deal.

A
Rs. \(2000\)

B
Rs. \(1750\)

C
Rs. \(1500\)

D
Rs. \(2500\)

E
Rs. \(2850\)

Solution

Ramesh sold the scooter at \(12.5 \%\) proft. So the cost price of the scooter will be:
\(\frac{112.5} {100} \times \mathrm{CP}=13500\)
\(\mathrm{CP}=\frac{13500} { 112.5} \times 100=\mathrm{Rs} .12000\)
Cost price of scooter for Suresh \(=13500+1500=\) Rs. \(15000\)
Suresh sold it to Ramesh for \(20 \%\) loss \(=15000 \times \frac{80} { 100}=\mathrm{Rs}.12000\)
Therefore overall profit of Ramesh \(=13500-12000=\mathrm{Rs} .1500\)
Hence, the correct option is (C).
Question 2
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After offering a discount of \(20 \%\) on an article, a trader earned a profit of \(20 \%\). If the cost price is Rs.\(300\), then what will be the selling price of the article after offering a discount of \(25 \% ?\)

A
Rs. \(352.5\)

B
Rs. \(375.5\)

C
Rs. \(432.5\)

D
Rs. \(337.5\)

E
Rs. \(390.5\)

Solution

Given Cost price \(=300\)
Profit earned \(=20 \%\)
Profit \(=300 \times \frac{20}{100}=60\)
Selling Price \(=\) Cost price \(+\) Profit \(=300+60=360\)
Discount \(=20 \%\)
Let marked Price \(={x}\)
Discount \(=\frac{20}{100} \times x=\frac{x}{5}\)
Also, Selling price = Marked price - Discount
\(\Rightarrow 360=x-\frac{x}{5}\)
\(\Rightarrow 360=\frac{4 x}{5}\)
\(\Rightarrow x=450\)
So, Marked price \(=450\)
If Discount % \(=25 \%\)
Then Discount \(=450 \times \frac{25}{100}=112.5\)
Selling price \(=450-112.5=337.5\)
Hence, the correct option is (D).
Question 3
1 / -0

A dealer sold 2 match tickets to different customers for Rs. 3167 each. On one, he earned a profit of 20% and on the other, he suffered a loss of 20%. What is the profit or loss in the entire deal?

A
Neither profit nor loss

B
4% loss

C
4.5% loss

D
5% profit

E
5.5% loss
Question 4
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A man purchased a packet of 10 pens and got 2 pens free with it. He marked the price 20% more than the C.P. If he did not allow any discount and sold all the 12 pens at this price, what was his profit percentage?

A
20%

B
40%

C
44%

D
50%

E
60%
Question 5
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By selling 66 metres of cloth, a person gains the cost price of 22 metres. Find his gain percentage.

A
100/3%

B
200/3%

C
160/3%

D
130/3%
Question 6
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For a certain article, the ratio of the cost price to the selling price is 8 : 10. What is the profit percentage?

A
10%

B
20%

C
25%

D
30%

E
80%
Question 7
1 / -0

The price of a necklace is Rs. 2,00,000. After two successive discounts, it is sold for Rs. 1,39,400. If the first discount is 15%, what is the rate of the second discount?

A
17%

B
18%

C
19%

D
20%

E
21.50%
Question 8
1 / -0

A person buys several fruits at the rate of 16 for Rs. 24 and sells them at the rate of 8 for Rs. 18. What is his gain percent?

A
50%

B
60%

C
40%

D
25%

E
30%
Question 9
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The price of a wooden table is Rs. 2400. It is sold at a profit of 30%. If 10% of the total amount is deducted as tax, then what will be the net profit?

A
Rs. 792

B
Rs. 720

C
Rs. 648

D
Rs. 504

E
Rs. 168
Question 10
1 / -0

A man gains 10% by selling a certain article for a certain price. If he sells it at double the price, then the profit made is

A
120%

B
60%

C
100%

D
80%
Question 11
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A shopkeeper buys a ceiling fan for Rs. 1500 and incurs overhead expenses of Rs. 50. If he sells the ceiling fan for Rs. 2000, then what will be his profit percent?

A
33.33%

B
29.03%

C
30.00%

D
36.67%

E
35.48%
Question 12
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Yuvraj sold his bats at Rs. \(7749\) and he incurred a loss of \(16 \%\). Dhoni also sold his bat at Rs. \(7749\) but he gained \(8 \%\). What is the ratio of the cost price of the bat of Yuvraj to the cost price of the bat of Dhoni?

A
\(9 : 7\)

B
\(389 : 269\)

C
\(387 : 269\)

D
\(379 : 291\)

E
\(14 : 79\)

Solution

CP of Yuvraj's bat \(=\frac{7749}{84} \times 100=\) Rs. 9225
CP of Dhoni's bat \(=\frac{7749}{108} \times 100=\) Rs. 7175
Ratio \(=9225: 7175=369: 287=9 : 7\)
Hence, the correct option is (A).
Question 13
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A mobile seller found that by selling 90 smartphones, he can earn amount that is equal to cost price of 120 smartphones, then what is the gain percent?

A
%

B
%

C
%

D
33 %

E
%
Question 14
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If the SP of 11 articles is equal to the CP of 13 articles, then the gain percentage will be

A
18%

B

C

D
Question 15
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Rahul deposited Rs. 7,500 at 4% p.a. for 2 years compounded annually in a bank. Jasmine deposited Rs. 7,500 for simple interest at the rate of 5% p.a. for 2 years. What is the difference between the amount of money they earned at the end of two years?

A
Rs. 8,250

B
Rs. 8,112

C
Rs. 138

D
Rs. 190

E
Rs. 128