Percentage problems
- 1. Entry fee in an exhibition was Rs. 1. Later, this was reduced by 25% which increased the sale by 20%. The percentage increase in the number of visitors is :
Options- A. 20 %
- B. 40 %
- C. 60 %
- D. 80 % Discuss
Correct Answer: 60 %
Explanation:
Let the total original sale be Rs. 100. Then, original number of visitors = 100.
New number of visitors = 120/0.75 = 160.
Increase % = 60 %.
- 2. The population of a town was 1,60,000 three years ago, If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population in
Options- A. 155679
- B. 167890
- C. 179890
- D. 177366 Discuss
Correct Answer: 177366
Explanation:
Present population = 160000 * (1 + 3/100)(1 + 5/200)(1 + 5/100)= 177366.
- 3. A district has 64000 inhabitants. If the population increases at the rate of 2 * 1/2 % per annum, then the number of inhabitants at the end of 3 years will be :
Options- A. 65380
- B. 68921
- C. 70987
- D. 72345 Discuss
Correct Answer: 68921
Explanation:
Population afer 3 years = 64000 * (1 + 5/(2 *100) )^3 = (64000 * 41/40 * 41/40 * 41/40 ) = 68921..
- 4. If 15% of x = 20% of y, then x:y is ___?
Options- A. 4:3
- B. 5:4
- C. 4:5
- D. 3:4 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 4:3
Explanation:
Given 15% of x = 20% of y
=> 15x = 20y
=> x/y = 20/15
=> x : y = 4 : 3
- 5. Of the 1000 inhabitants of a town, 60 % are males of whom 120 % are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate ?
Options- A. 32.5 %
- B. 43 %
- C. 46.6 %
- D. 53.2 % Discuss
Correct Answer: 32.5 %
Explanation:
Number of males = 60% of 1000 = 600. Number of females = (1000 - 600) = 400.
Number of literates = 25% of 1000 = 250.
Number of literate males = 20% of 600 = 120.
Number of literate females = (250 - 120) = 130.
Required pecentage = (130/400 * 100 ) % = 32.5 %.
- 6. In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was :
Options- A. 10 kg
- B. 15 kg
- C. 20 kg
- D. 25 kg Discuss
Correct Answer: 10 kg
Explanation:
Let the original quantity be x kg. Vanaspati ghee in x kg = (40x / 100 )kg = (2x / 5) kg.
Now, (2x/5)/(x + 10) = 20/100
=> 2x / (5x + 50) = 1/5
=> 5x = 50
=> x = 10.
- 7. 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 ?
Options- A. 4000
- B. 8000
- C. 12000
- D. 16000 Discuss
Correct Answer: 8000
Explanation:
Let the number of candidates appeared from each state be x.
In state A, 6% candidates got selected from the total appeared candidates
In state B, 7% candidates got selected from the total appeared candidates
But in State B, 80 more candidates got selected than State A
From these, it is clear that 1% of the total appeared candidates in State B = 80
=> total appeared candidates in State B = 80 x 100 = 8000
=> total appeared candidates in State A = total appeared candidates in State B = 8000
- 8. The diference of two numbers is 20% of the larger number, if the smaller number is 20, then the larger number is :
Options- A. 15
- B. 25
- C. 35
- D. 45 Discuss
Correct Answer: 25
Explanation:
Let the large number be x.
Then x - 20 = 20x/100
=> x - x/5 = 20 => x = 25.
- 9. Ram sell his goods 25% cheaper than Shyam and 25% dearer than Bram. How much % is Bram's good cheaper than Shyam ?
Options- A. 60%
- B. 40%
- C. 50%
- D. 30% Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 40%
Explanation:
Lets say shyam sells at 100,
Since Ram sells 25% cheaper than Shyam,
Therefor Ram sells at less than 25% of100 or 75 rs.
Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or
125% of x (say x price of bram )=75rs.
or 100% of x =60rs.
hence price of bram is 60rs.
now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%.
Hence Brams Good is 40% cheaper than that of Shyam's good.
- 10. What percent decrease in salaries would exactly cancel out the 20 percent increase ?
Options- A. (16 + 2/3) %
- B. (15 + 2/3)%
- C. (14 +1/3)%
- D. (13 + 4/5)% Discuss
Correct Answer: (16 + 2/3) %
Explanation:
Let the orginal salary = Rs. 100. New's salary = Rs.120.
Decrease on 120 = 20. Decrease on 100 = [(20/120)*100]% = (16 + 2/3) %.
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