Percentage Aptitude
The price for a pair of cuff links is Rs.1.00. The price for a 5 pair package of cuff links is Rs.3.40. The 5 pair package is what percent cheaper per paid than 5 pairs purchased separately?
  • 30%
  • 32%
  • 47%
  • 62%
Explanation: Calculate the cost of 5 pairs if bought separately • Price of 1 pair = Rs. 1.00 • Price of 5 pairs separately = 5 × 1.00 = Rs. 5.00 Calculate the cost per pair in the 5-pair package • Price of 5-pair package = Rs. 3.40 • Cost per pair in the package = 3.40 ÷ 5 = Rs. 0.68 Find the discount per pair • Discount per pair = 1.00 - 0.68 = Rs. 0.32 Calculate the percentage discount 0.32/100 × 100 = 32%
A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, then the percentage of females who are literate is
  • 10%
  • 20%
  • 25%
  • 30%
Explanation: The information given in the problem: • Total population = 3,00,000 • Number of males = 1,80,000 • Number of females = 3,00,000 - 1,80,000 = 1,20,000 • Total literate population = 50% of 3,00,000 = 1,50,000 • Literate males = 70% of 1,80,000 = 1,26,000 • Literate females = Total literate population - Literate males = 1,50,000 - 1,26,000 = 24,000 Now, to find the percentage of females who are literate: Percentage of literate females = Literate females / Total females ×100 Percentage of literate females = 24,000 / 1,20,000 × 100 = 20%
From 5 litres of a 20% solution of alcohol in water, 2 litres of solution is taken out and 2 litres of water is added to it. Find the strength of alcohol in the news solution.
  • 10%
  • 12%
  • 15%
  • 18%
Explanation: Initial alcohol in 5 litres = 20% of 5 = 1 litre. Removing 2 litres removes 20% of 2 = 0.4 litres of alcohol. Remaining alcohol = 1 - 0.4 = 0.6 litres. Adding 2 litres of water, total solution = 5 litres. New strength = (0.6 / 5) × 100 = 12%. Ans: (B) 12%.
What percentage of numbers from 1 to 70 have squares that end in the digit 1?
  • 1
  • 14
  • 20
  • 21
Explanation: Numbers ending in 1 or 9 have squares ending in 1. From 1 to 70, such numbers are: 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69 (14 numbers). Percentage = (14/70) × 100 = 20%. Ans: (C) 20%.
In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects the total number of students is
  • 200
  • 400
  • 600
  • 800
    • Explanation: Let the total number of students be X. • Students passing in English = 80% of X = 0.8X • Students passing in Mathematics = 85% of X = 0.85X • Students passing in both subjects = 75% of X = 0.75X Using the formula for students passing in at least one subject: Students passing in at least one subject=(Pass in English) + (Pass in Mathematics)−(Pass in both) = 0.8X + 0.85X − 0.75X = 0.9X So, students failing in both subjects = Total students - Students passing in at least one: X − 0.9X = 0.1X Given that 40 students failed in both, we set up the equation: 0.1X = 40 X = 400