Profit and Loss (6)

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Q1. A material is purchased for Rs. 600. If one-fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage?
1. 3.5%
2. 2.5%
3. 3%
4. 2%

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Answer:- 2

Explanation:-

Price of selling (1/4)th of the material at a loss of 20%
=>(1/4) * 600 * (80/100) = Rs. 120
Price Received by remaining material at a gain of 10%
=>(3/4) * 600 * (110/100) = Rs. 495
Total selling price=120+495=615
profit=615-600=15
profit %age=(15/600)*100=5/2=2.5%
=>2.5%
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Q2. A shopkeeper buys pencils at 9 for Rs. 16 and sells them at 11 for Rs. 22. Find out his loss or gain percentage?
1. 12.5%
2. 12%
3. 14%
4. 11.66%

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Answer:- 1

Explanation:-
CP pf 1 pencil=16/9
SP of 1 pencil=22/11=2
Profit=2-(16/9)=2/9
Profit %age=((2/9)/(16/9))*100
Profit %age=12.5
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Q3. A reduction of 10% in the price of a pen, enabled a trader to purchase 9 more for Rs.540. What is the reduced price of the pen?
1. 8
2. 6
3. 5
4. 4

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Answer:- 2

Explanation:-

He purchased 9 more pens for 10% of 540
Reduced Price of one pen=(10% of 540)/9
=>54/9
=> Rs. 6
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Q4. Sunil purchases two books at Rs.300 each. He sold one book 10% gain and other at 10% loss. What is the total loss or gain in percentage?
1. 10% gain
2. 1% loss
3. No loss or no gain
4. 1% gain

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Answer:- 3

Explanation:-

Total CP=300+300=600
Total SP=110% of 300 + 90% of 300
=>330+270=600
CP=SP
Therefore, No profit No loss
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Q5. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax-free items?
1.Rs. 15
2.Rs. 15.70
3.Rs. 19.70
4.Rs. 20

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Answer:- 3

Explanation:-

Let the amount of taxable purchases be Rs. x.
Therefore   6% of x=30/100
=>x=(30/100)*(100/6)=5
Cost of tax free item=(25-5)-.30= Rs 19.70
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