 # Percentages Practice Questions Percentages Practice Questions section is here and it is time to start the much-needed practice for this section. Here in the Percentages Practice Questions, we have all the different types of questions that can be asked from this section. Best of luck, let us begin!

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## Percentages Practice Questions

Let us recall the important formulae that we need to solve this section:

(i) To express x% as  fraction: We have x% = x/00. Thus, 20% = 20/100 = 1/5: 48% = 48/100 and so on.

(ii) To express a/b as a percent: We have, a/b as [(a/b)×100]%. Thus, 1/4 can be written as [(1/4)×100]% = 25% etc.

(iii) If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is [{R/(100+R)}×100]%.

If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the expenditure is = [{R/(100-R)}×100]%

(iv) Results on Population: Let the population of a town be P now and suppose it increases at the rate of R% per annum, then:

1. Population after n years = P[1 + (R/100]n
2. Population n years ago = P/[1 + (R/100)]n

(v) Results on Depreciation: Let the present value of machine be P. Suppose it depreciates at the rate of R% per annum. Then:

1. Value of the machine fter n years = P[1 – (R/100)]n
2. Value of the machine n years ago = P/[1 – (R/100)]n

(vi) If A is R% more than B, then B is less than A by [{R/(100+R)}×100]%.

If A is R% less than B, then B is more than A by [{R/(100 – R)}×100]%.

## Practice Questions – Part I Q1: 88% of 370 + 24% of 210 – ____ = 118.                       [Bank PO 2003]

A) 256     B) 258     C) 268       D) 358

Q2: 860% of 50 + 50% of 860 = ____?       [RBI 2003]

A) 430       B) 516       C) 860        D) 960

Q3: 45% of 750 – 25% of 480 = ?            [Bank PO 2002]

A) 216       B) 217.50        C) 236.50         D) 245

Q4: It costs Rs. 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after the first 1000 sheets. How much will it cost to copy 5000 sheets of paper?     [IGNOU 2003]

A) Rs. 3920         B) Rs. 3980            C) Rs. 4900           D) Rs. 4920

Q5: A housewife saved Rs. 2.50 in buying n item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction?  [Section Officer, 2003]

A) 8%             B) 9%           C) 10%        D) 11%

Q6: Rajeev buys goods worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @10%. Find the amount he will have to pay for the goods.     [MAT 2002]

A) Rs. 6876.10            B) Rs. 6999.20              C) Rs. 6654              D) Rs. 7000

Q7: Which of the following shows the best percentage?  [Hotel Management, 1996]

A) 384/540                 B0 425/500                   C) 570/700              D) 480/660

Q1: (b), Q2: (c), Q3: (b), Q4: (d), Q5: (b), Q6: (a), Q7: (b)

## Part II

Q1: When 15% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is:

A) 20 lakh tons       B) 80 lakh tons            C) 200 lakh tons            D) 800 lakh tons

Q2: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?      [SBI PO 2000]

A) 7600             B) 8000                     C) 8400             D) Data Inadequate

Q3: The price of a car is Rs. 3,25,000. It was insured to 85% of its price. the car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?     [Bank PO 2003]

A) Rs. 32500           B) Rs. 48750           C) Rs. 76375             D) Rs 81250

Q4: 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?         [MAT 2003]

A) Rs. 15           B) Rs. 15.70         C) Rs. 19.70            D) Rs. 29

Q5: A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? [SSC 2004]

A) 45%           B) 45(5/11)%              C) 54(6/11)%               D) 55%

Q1: (c), Q2: (b), Q3: (c), Q4: (c), Q5: (b)

## Part III

Q1: In a market survey, 20% opted for product A whereas 60% opted for product B. The remaining individuals were not certain. If the difference between those who opted for product B and those who were uncertain was 720, how many individuals were covered in the survey?

A) 1440               B) 700            C) 3600               D) Data Inadequate

Q2: A student has to obtain 33% of the total marks to pass. he got 125 marks and failed by 40 marks. The maximum marks are:               [CBI 2003]

A) 300              B) 500                  C) 800              D) 1000

Q3: In an election between two candidates, one get 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was?     [RRB 2003]

A) 2700                B) 2900                   C) 3000                D) 3100

Q1: (b), Q2: (b), Q3: (a)

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