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Percentages Profit Loss Interests Practice Questions

Q.1) A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection andthe value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs.2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is theminimum number of goods he should sell?

[A] 24
[B] 18
[C] 27
[D] 32

Show Answer

C

Q.2) A fruit seller bought two equal lots of oranges, one at the rate of 5 for a rupee and the other at the rate of 4 for arupee. He sold all the oranges at the rate of 9 for Rs.2. What is his profit/loss percentage?
[A] Loss-2.23%
[B] Loss-1.23%
[C] Gain 2%
[D] Gain 5%

Show Answer

B

Q.3) Bunty sells 8 pens at the cost price of 10 pens. What is his profit percent per pen?
[A] 23%
[B] 24%
[C] 25%
[D] 26%

Show Answer

C

Q.4) A woman goes to market with Rs.500 to buy oranges. The prices of the oranges have decreased by 10% so shebuys 2 kg more with the amount she has. How many kgs of oranges does she buy?

Answer:________________

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20

Q.5) A retailer cheats both while buying and selling goods. While buying goods from the shopkeeper, he uses aweighing machine that shows 1000 g when the actual quantity is 1100 g. while selling, he uses a machine that shows1100 g when the actual quantity is 1000 g. If he sells goods at the cost price only, determine his profit percentage inthis whole transaction.

[A]20%
[B]21%
[C]22%
[D]23%

Show Answer

B

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Q.6) Rodrick mixes a martini that has a volume of ‘n’ ounces having 40% Vermouth and 60% Gin by volume. Hewants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
[A] n/6
[B]n/3
[C]3n/5
[D]5n/6

Show Answer

C

Q.7) Donald plans to invest x dollars in a savings account that pays interest at an annual rate of 8% compoundedquarterly. Approximately what amount is the minimum that Donald will need to invest to earn over $100 in interestwithin 6 months?
[A] 1500
[B] 1750
[C] 2000
[D] 2500

Show Answer

D

Q.8) The interest compounded annually on a certain sum of money is $41.60 after two years. The simple interest onthe same amount of money after two years would be $40.00. Find the amount invested if the interest rate would bethe same in each investment.

Answer:________________

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250

Q.9) Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increasedby m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per shareincrease, in terms of k and m?
[A] k/m %
[B] (k – m) %
[C] [100(k – m)] / (100 + k) %
[D] [100(k – m)] / (100 + m) %

Show Answer

D

Q.10) In a survey, 56 percent of the people surveyed stated truthfully that they were married, while 30 percent of thepeople surveyed who were married at that time chose not to include that information in the survey. What percent ofthe people surveyed were actually married at the time of the survey?
[A] 80%
[B]60%
[C] 40%
[D] 75%

Show Answer

A

Q.11) A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales andtruck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue fromtruck sales in 1996?
[A] 1:2
[B] 4:5
[C] 1:1
[D] 3:2

Show Answer

A

Q.12) The total of company C’s assets in 1994 was 300% greater than the total in 1993, which in turn was 400%greater than the total in 1992. If the total of company C’s assets in in 1992 was N dollars, which one of the followingrepresents company C’s assets in 1994:
[A] 8N
[B] 9N
[C] 12N
[D] 20N

Show Answer

D

Q.14) The rate of a chemical reaction is directly proportional to the square of concentration of chemcialA presentand invesrsly proportional to the concentration of chemical B present. If chemical B is increased by 100% which ofthe following is the change in concentration of chemical A required to keep teh reaction rate unchanged:
[A] 100% decrease
[B] 50% decrease
[C] 40% decrease
[D] 40% increase

Show Answer

D

Q.15) A clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for theclock. When the collector tried to resell the clock to the store, the store bought it back at 50 percent of what thecollector had paid. The shop then sold the clock again at a profit of 80 percent on its buy-back price. If the difference
between the clock’s original cost to the shop and the clock’s buy-back price was $100, for how much did the shopsell the clock the second time?
[A] $270
[B] $250
[C] $240
[D] $220

Show Answer

A

Q.16) Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent ofthe lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on areactually off. What percent of the lights that are on are supposed to be off?
[A] 22(2/9)%
[B] 16(2/3)%
[C] 11(1/9)%
[D] 10%

Show Answer

D

Q.17) Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regularunit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Foxjeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Ponyjeans?
[A] 9%
[B]10%
[C] 11%
[D] 12%

Show Answer

B

Q.18) A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, indollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?
[A] 3xr/2
[B] 3x/200r
[C] 3r/200x
[D] 3xr/200

Show Answer

D

Q.19) If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annualincome from the 10 percent investment will exceed the annual income from the 8 percent investment by $56. If$2,000 is the total amount invested, how much is invested at 8 percent?
[A] $280
[B] $800
[C] $892
[D] $1,108

Show Answer

B

Q.20) Last week Vartan spent 15 percent of his wages on recreation. This week, his wages are 10 percent less than last weekʼs wages and he spent 30 percent of his wages on recreation. The amount he spends on recreation this week what percent of the amount he spent on recreation last week?
[A] 100%
[B] 160%
[C] 180%
[D]200%

Show Answer

C

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