Percentage problems
- 1. A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly :
Options- A. 21.6 %
- B. 15.3 %
- C. 14.6 %
- D. 12.5 % Discuss
Correct Answer: 21.6 %
Explanation:
Total money = Rs.[600*(25/100)+1200*(50/100)]= Rs. 750.
25 paise coins removed = Rs. (600*12/100) = 72.
50 paise coins removed = Rs. (1200*24/100)= 288.
Money removed =Rs.(72*25/100+288*50/100) = Rs.162.
Required percentage = (162/750*100)% = 21.6 %.
- 2. If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?
Options- A. 31/25
- B. 15/17
- C. 14/25
- D. 11/16 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 15/17
Explanation:
The original fraction is = 15/17.
- 3. The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is :
Options- A. 60
- B. 70
- C. 80
- D. 90 Discuss
Correct Answer: 60
Explanation:
We have : x + (x% of 150 )= 150
=> x+(x/100)*150] = 150
=>
=> x = (150*2)/5 = 60
- 4. In a class of 80 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?
Options- A. 1060
- B. 960
- C. 1020
- D. 920 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 1060
Explanation:
Total number of sweets
= 80 x 15 x 80/100 + 5 x 80 x 25/100
= 960 + 100 = 1060
- 5. One hour is what percent of a day?
Options- A. 5.6%
- B. 4.16%
- C. 3.35%
- D. 6.7% Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 4.16%
Explanation:
A day has 24 hrs
=> If 24 hrs - 100
Then 1 hr = ?
100/24 = 4.16%
- 6. The difference between a number and its two-fifth is 510. What is 10% of that number ?
Options- A. 75
- B. 85
- C. 95
- D. 105 Discuss
Correct Answer: 85
Explanation:
Let the number be x. Then, x-(2/5)x = 510
=> 3x/5 =510
=>x =[510 * ( 5/3)] =850
10 % 0f 850 = 85.
- 7. A number is increased by 20% and then decreased by 20%, the final value of the number is ?
Options- A. increase by 2%
- B. decrease by 3%
- C. decrease by 4%
- D. increase by 5% Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: decrease by 4%
Explanation:
Here, x = 20 and y = - 20
Therefore, the net % change in value
=
%
=
% or - 4%
Since the sign is negative, there is a decrease in value by 4%.
- 8. In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?
Options- A. 324138
- B. 349680
- C. 509940
- D. None of these Discuss
Correct Answer: 324138
- 9. A shopkeeper?s earning increases by 25% in first year but decreases by 4% in the next and so on. After 5 years his total earnings would be Rs. 72,000. What is his present earning?
Options- A. Rs. 40,000
- B. Rs. 45,000
- C. Rs. 42,000
- D. Rs. 46,000 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 40,000
Explanation:
Let his present earnings be Rs. p
ATQ,
(125/100) x (96/100) x (125/100) x (96/100) x (125/100) x p = 72000
p = Rs. 40,000.
- 10. When the price of rice decrease by 10%, a girl could buy 1 kg more for Rs. 270. Then, the original price of the rice per kg is
Options- A. Rs. 36
- B. Rs. 30
- C. Rs. 28
- D. Rs. 40 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 30
Explanation:
From the given data,
When the price of rice is decreased by 10%, the value of Rs. 270 would become
270 x 100/90 = 300
Now, the value 270 becomes 300
And given, the girl could buy 1 kg extra for that value
Change in value = 300 - 270 = Rs. 30
Therefore, 1 kg extra rice she can get for Rs. 30
=> The original price of rice = Rs. 30/kg.
As she gets only 9 kgs for Rs. 270 before 10% discount, now after discount she gets 10 kgs instead of 9 kgs for Rs. 270.
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