# Percentage- Aptitude Questions and Answers

 Two students appeared for an examination. One of them secured 10 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are ? A) 52 and 42 B) 68 and 58 C) 63 and 53 D) 15 and 5 Correct Answer : 15 and 5 Explanation :Let, the marks of first students be x Then marks of second students be (x + 10) According to the questions (x + 10) = 75/100(x + x + 10) x + 10 = 3/4 (2x + 10) x + 10 = 3/2 (x + 5) 2x + 20 = 3x + 15 x = 5 and x + 10 = 15 A certain company has 120 employees who are engineers. Here, engineers constitute 30% of its work force. How many people are employed in the company? A) 500 B) 400 C) 300 D) 200 Correct Answer : 400 Explanation :Let the number of employee = X 30% of X = 120 (30/100)*X = 120 So, number of employee in company= X= 400 23% of a bucket full of diluted milk was water. If the quantity of pure milk in the bucket was 15.4 liter, then the capacity of the bucket was ? A) 20 liter B) 22 liter C) 20.9 liter D) 19.8 liter Correct Answer : 20 liter Explanation :capacity of the bucket = X water in the bucket = 23% of X = 23*X /100 pure milk in bucket = X - 23*X/100 = 15.4 => 100*X - 23*X = 15.4 *100 => 77*X = 1540 => X = 20 liter If x is 15% of y and y is 40% of z, then x+y is what % of z ? A) 6 B) 21 C) 46 D) 55 Correct Answer : 46 Explanation :Let z= 100 So, y is 40% of z = 40 x is 15% of y = 6 x+y= 46 that is 46% of z In 2004, a new shirt costs Rs 250, while in 2005 it will cost Rs 400. Calculate by how much percent has the cost of the shirt increased from 2004 to 2005? A) 40% B) 55% C) 60% D) 90% Correct Answer : 60% Explanation :As Given, Cost in 2004 = Rs 250 Cost in 2005 = Rs 400 Increase in Cost from 2004 to 2005 = Rs 400 - Rs 250 = Rs 150 Percentage increase in price = (150/250) * 100 = 60% %increase in the price of shirt from 2004 to 2005 = 60% X sells his goods 20% cheaper than Y and 20% dearer than Z. How many % is Z's goods cheaper/dearer than Y's? A) 33.33% B) 40% C) 42.5% D) 50% Correct Answer : 33.33% Explanation :Let SX, SY & SZ are selling prices of goods of X, B & C respectively As Given, X sells 20% cheaper cheaper than Y, SX = (1 - 20/100)*SY SX/SY = 80/100 = 4/5 X sells his goods 20% dearer than Z, SX = (1 + 20/100)*SZ SX/SZ = 120/100 = 12/10 SX/SY = 4/5 =4*3/5*3 = 12/15 ..(1a) SX/SZ = 12/10 ..(1b) From (1b) & (1a), SX ∶ SY ∶ SZ → 12 ∶ 15 ∶ 10 SZ < SY, Z is cheaper than Y Required percentage = {(SY - SZ)/SY} * 100 = {(15 - 10)/15} * 100 = 33.33% Therefore Z is 33.33% cheaper than Y. In an examination, 36% of the students failed in English and 40% failed in Hindi. If 20% of the students failed in both subjects, then the pass percentage is? A) 40% B) 42% C) 44% D) 46% Correct Answer : 44% Explanation :As given, 36% of the students failed in English, F(E) = 36 40% failed in Hindi, F(H) = 40. 20% of the students failed in both subjects, F(E ∩ H) = 20. number of student who failed F(E ∪ H) = F(E) + F(H) - F(E ∩ H) =36 + 40 - 20 =56 number of student who pass in both Subjects are P(E ∪ H) = 100 - F(E ∪ H) =100 - 56 =44 Hence the pass percentage is 44% 20% of a quantity is Rs 400, the quantity equals? A) Rs. 200 B) Rs. 800 C) Rs. 2000 D) Rs. 8000 Correct Answer : Rs. 2000 Explanation :Let the quantity be Q. 20% × Q = 400 ⇒ (20/100) × Q = 400 ⇒ (1/5) × Q = 400 ⇒ Q = 5 × 400 ⇒ Q = 2000 The quantity is Rs 2000 Shirin went to a bakery and bought items 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? A) Rs. 12 B) Rs. 19.70 C) Rs. 19.10 D) Rs. 18.80 Correct Answer : Rs. 19.70 Explanation :Total cost of the items he purchased = Rs. 25 Total tax incurred = 30 paise = Rs. 30/100 Let the amount taxable purchases = Rs. x Then,6% of x = 30/100 x=(30/100)* (100/6) x=5 ∴Cost of tax free items=(Total cost -(taxable purchases + Total tax )) Cost of tax free items=Rs. 25−(5+0.30) =Rs.19.70