Percentage problems
- 1. 3.2% of 500 × 2. 4% of ? = 312
Options- A. 812.5
- B. 829.75
- C. 749.85
- D. 799.5 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, IT Trainer
Correct Answer: 812.5
Explanation:
- 2. A showroom on its anniversary gives a discount of 18% on marked price of bikes. Raghuram purchases a bike in Rs. 54,540. What is the marked price of bike?
Options- A. Rs. 63548
- B. Rs. 66512
- C. Rs. 65000
- D. Rs. 67857 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 66512
Explanation:
The discount offered by showroom = 18%
Raghu purchased at Rs. 54540
Then,
The marked price is given by
54540 x 100/82
=~ Rs. 66,512
- 3. 36 is what percent of 80?
Options- A. 54
- B. 45
- C. 60
- D. 64 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 45
Explanation:
Let 36 is p% of 80
=> p x 80/100 = 36
=> p = 36 x 10/8 = 45.
- 4. What will come in place of the question mark(?) in the following question ? 56% of 870 + 82% of 180 = 32% of 90 + ?
Options- A. 777
- B. 666
- C. 606
- D. 789 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 606
Explanation:
56% of 870 = 56x870/100 = 487.20
82% of 180 = 82x180/100 = 147.60
32% of 90 = 32x90/100
487.20 + 147.6 - 28.8 = ?
? = 634.8 - 28.8
? = 606.
- 5. If the price of a commodity is decreased by 20% and its consumption is increased by 10%, what will be the increase or decrease in the expenditure on the commodity?
Options- A. increase 12%
- B. decrease 12%
- C. increase 16%
- D. decrease 16% Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: decrease 12%
Explanation:
Given the price of a commodity is decreased by p = 20%
And its consumption is increased by q = 10%
Now, required increase or decrease in the expenditure on the commodity can be
p + q + pq/100 = -20 + 10 - 200/100 = -10 - 2 = -12%.
Hence, decrease in the expenditure = 12%
- 6. Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially?
Options- A. 153145 kgs
- B. 147890 kgs
- C. 152400 kgs
- D. 149600 kgs Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 149600 kgs
Explanation:
Let the total quantity of gold be p kgs.
According to the question,
50% of p + 25% of p + 12.5% of p = 130900
87.5% of p = 130900
p = 130900 x 100/87.5 = 149600 kgs.
Therefore, the initial gold quantity that king has = p = 149600 kgs.
- 7. Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?
Options- A. 92.8%
- B. 84.23%
- C. 87.14%
- D. 94.1% Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 92.8%
Explanation:
Here, x = 40 and y = 30;
Therefore second number
= [[
] x 100 ]% of first number
= [[
] x 100 ]% of first number
Second number = 92.8% of the first number.
- 8. The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ?
Options- A. Rs.14,000
- B. Rs.12,000
- C. Rs. 12,800
- D. Rs. 15,000 Also asked in: TOEFL, GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: Rs.12,000
Explanation:
We have P = 8748, R = -10 and n = 3
Therefore, the purchase price of the machine
=
=
= 8748 x (100/90) x (100/90) x (100/90)
= 12,000.
Therefore, the purchase price of the machine was Rs. 12,000.
- 9. In one year, the Amount collected for social welfare, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the amount was 7920, what was it in the beginning ?
Options- A. 8800
- B. 8650
- C. 8000
- D. 8980 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 8000
Explanation:
Let the amount collected be 'A'
Then, from the given conditions,
A x 110/100 x 90/100 = 7920
A x 0.99 = 7920
A = 7920/0.99
=> 8000
- 10. In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ?
Options- A. 3241
- B. 2457
- C. 2642
- D. 2834 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 2834
Explanation:
Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of K and L be a and b respectively.
a - b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 8720
32.5k = 32.5k/100k x 8720 = 2834
The number of valid votes polled in favour of L is 2834.
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