Percentage problems
- 1. An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth
Options- A. 300
- B. 500
- C. 700
- D. 900 Discuss
Correct Answer: 500
Explanation:
Let the total sale be Rs. x.
Then, 2.5%. of x = 12.50
=> (25/100 * 1/100 * x) = 125/10
=> x = 500.
- 2. 45% of 750 - 25% of 480 = ?
Options- A. 337.50
- B. 217.50
- C. 376.21
- D. 120 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 217.50
Explanation:
Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50
- 3. How many litres of pure acid are there in 8 litres of a 20% solution ?
Options- A. 1.4
- B. 1.5
- C. 1.6
- D. 1.7 Discuss
Correct Answer: 1.6
Explanation:
Quantity of pure acid = 20% of 8 litres = ((20/100)*8) litres = 1.6 litres.
- 4. 56% of 225 + 20% of 150 = ? - 109 Find the value of '?' in the above equation
Options- A. 264
- B. 220
- C. 241
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 264
Explanation:
Given 56% of 225 + 20% of 150 = ? - 109
we know that a% of b = b% of a
Now,
225% of 56 + 20% of 150 = ? - 109
200% of 56 + 25% of 56 + 20% of 150 = ? - 109
112 + 14 + 30 = ? - 109
? = 112 + 14 + 30 + 109
? = 264
- 5. If P is 140, which is 40% more than Q, then 3/25 of Q is
Options- A. 9
- B. 12
- C. 18
- D. 24 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 12
Explanation:
From the given data,
P = 140
But it is given that,
40% of Q + Q = 140 = P
=> Q + [40Q/100] = 140
=> [100Q + 40Q]/100 = 140
=> 140Q = 140 x 100
=> Q = 100
Now,
3/25 of Q
= (3/25) x 100
= 3 x 4
= 12
Required 3/25 of Q = 12.
- 6. A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?
Options- A. 40%
- B. 45%
- C. 50%
- D. 55% Discuss
Correct Answer: 50%
Explanation:
Number of runs made by running = 120 - (3 x 4 + 8 x 6) = 120 - (60) = 60
Required percentage = [(60/120)*100] % = 50%
- 7. In an examination, 34% of the students failed in Mathematics and 42% faiied in English. If 20% of the students failed in both the subjects, then the percentage of students who passed in both the subjects was :
Options- A. 34 %
- B. 44 %
- C. 54 %
- D. 64 % Discuss
Correct Answer: 44 %
Explanation:
n (A) = 34, n (B) = 42, n (A ? B) = 20.
So, n (A U B) = n (A) + n(B) - n(A ?B) = 34 + 42 - 20 = 56.
Percentage failed in either or both the subjects = 56.
Hence, percentage passed = (100 - 66)% = 44%.
- 8. While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?
Options- A. 8 + 15/17
- B. 2 + 13/17
- C. 3 + 2/17
- D. 5 + 13/12 Discuss
Correct Answer: 8 + 15/17
Explanation:
Total sales tax paid = 7% of Rs, 400 + 9% of Rs. 6400
=Rs. (7/100)*400 + (9/100)*6400 = Rs. (28 + 576) = Rs. 604.
Total cost of the items = Rs. (400 + 6400) = Rs. 6800.
Required percentage =(604/6800*100) % = %.
- 9. Abhinav scores 80% in physics and 66% in chemistry and the maximum marks of both the papers are 100. what percent does he score in maths which is of 200 marks, if he scores 80% marks in all the three subjects:
Options- A. 74%
- B. 84%
- C. 87%
- D. 83% Discuss
Correct Answer: 87%
Explanation:
=>x = 174 => 87%
- 10. If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?
Options- A. Rs. 20
- B. Rs. 24
- C. Rs. 26
- D. Rs. 29 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: Rs. 20
Explanation:
Let the original price of rice be Rs. x
Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs
From given data, for Rs. 500
x ---- R kgs
(x + 25x/100) ---- (R - 5) kgs
=> Rx = (R - 5)(x + 25x/100)
=> Rx = (R - 5)(125x/100)
=> 100Rx = 125Rx - 625x
=> R = 25
So at rate of Rs. x/kg, man get 25 kgs for Rs. 500
=> x = 500/25 = Rs. 20
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