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Q10) The cost price of 30 articles is the same as the selling price of 24 articles. Find the profit/loss
percentage.
1) 20%
2) 25%
3) 15%
4) 30%
Solution:
SP of 24 articles = CP of 30 articles = CP of 24 articles + CP of 6 articles
Profit percentage = (6/24)×100% = 25%
Hence, option 2.
Q11) SP of an article is 4/3rd of it's CP. Find the profit/loss percentage.
1) -25%
2) 25%
3) -33.33%
4) 33.33%
Solution:
SP = (4/3)CP = CP + CP/3
Profit percentage = (1/3)×100% = 33.33%
Hence, option 4.
Q12) SP of an article is 5/6th of it's CP. Find the profit/loss percentage.
1) -20%
2) 20%
3) -16.66%
4) 16.66%
Solution:
SP = (5/6)CP = CP - CP/6
Loss percentage = -(1/6)×100% = -16.66%
Hence, option 3.
Q13) A man gains 20% by selling an article at a certain price. If he sells it at 50% more then his profit
percent will be:
1) 50%
2) 70%
3) 80%
4) None of these
Solution: Say CP = Rs 100
So, SP = Rs 120
If the article is sold for 50% more then SP = Rs 180
Profit percent = (80/100)×100% = 80%
Hence, option 3.
Q14) A tradesman defrauds to the extent of 10% in buying goods and also defrauds to the extent of 10% in
selling. Find his gain percent?
1) 21%
2) 19%
3) 20%
4) 22.22%
Solution:
As the tradesman defrauds to the extent of 10% in buying goods so he takes goods of Rs 110
by giving Rs 100. Again he defrauds 10% in selling means he charges Rs 110 for the goods whose actual cost is
Rs.100. So goods worth Rs 110 are sold for Rs 121.
CP = Rs 100
SP = Rs 121
Profit percent = (21/100)×100% = 21%
Hence, option 1.
Q15) An article is sold at 50% profit. If its CP and SP are increased by Rs 32 and Rs 12 respectively, the
percentage of profit becomes 10%. Find the cost price. man gains 20% by selling an article at a certain price.
1) Rs 58
2) Rs 60
3) Rs 68
4) Rs 54
Solution: As the article is sold at 50% profit so, SP = 1.5 CP
New SP = SP + 32 = 1.5CP + 32
New CP = CP + 12
Now, New SP = 1.1 (New CP)
1.5CP + 32 = 1.1(CP + 12)
CP = 58
Hence, option 1.
Q16) Ram Lal purchased a machine for Rs 78000 spent Rs 6000 on repairs and Rs 2000 on transportation and then
sold it for a profit of 30%. At what price was the machine sold.
1) Rs 105500
2) Rs 107000
3) Rs 106000
4) Rs 107500
Solution: CP = 78000 + 6000 + 2000 = Rs 86000
SP = 1.25CP = 1.25×86000 = Rs 107500
Hence, option 4.
Q17) A tradesman by means of false balance defrauds to the extent of 10% in buying goods and also by means
of false balance defrauds to the extent of 10% in selling. Find his gain percent?
1) 21%
2) 19%
3) 20%
4) 22.22%
Solution:
In this question the tradesman defrauds by means of a false balance.
CP = Rs 100 per 100 grams
Tradesman pays Rs 100 for 100 grams but, takes 10% more i.e. 100 + 10 = 110 grams
So, CP = Rs 100 for 110 grams.
SP = Rs 100 for 90 grams (100 - 10 = 90 grams).
CP of 90 grams = Rs 90.
Goods worth Rs 90 are sold for Rs 110.
Profit = 110 - 90 = Rs 20.
Profit percent = (20/90)×100% = 22.22%
Hence, option 4.
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