Arithmatical - Percentage

DIRECTIONS : Problems based on Percentage.
11. In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many candidates applied for the examination?
  A.  30,000
  B.  35,000
  C.  37,000
  D.  None of these
Solution
Let the number of applicants be x.Number of eligible candidates = 95% of x.
Eligible candidates of each other categories = 15% of (95% of x).
=(15/100×95/100×x)
= 57/400×x.
Therefore, 57/400×x= 4275
‹=› x =(4275×400 / 57)
‹=› 30000.
12. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had
  A.  588 apples
  B.  600 apples
  C.  672 apples
  D.  700 apples
Solution
Suppose originally he had x apples.
Then,(100-40)% of x = 420.
‹=› 60/100×x = 420
x ‹=› (420 ×100 / 60
‹=› 700.
13. 270 students appeared for an examination, of which 252 passed. The pass percentage is
  A.  80%
  B.  85%×1/2%
  C.  90%
  D.  93×1/3%
Solution
Pass percentage= (252/270 ×100)%
= 280/3%
‹=› 93×1/3%.

14. Raman’s salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss?
  A.  Rs.25
  B.  Rs.50
  C.  Rs.75
  D.  Rs.85
Solution
Let the origianl salary = Rs. 100.
New final salary‹=› 150% of (50% of Rs. 100)
‹=›Rs.(150/100×50/100×100)
‹=› Rs. 75.
Decrease = 25%.
15. How many litres of pure acid are there in 8 litres of a 20% solution?
  A.  1.4
  B.  1.5
  C.  1.6
  D.  2.4
Solution
Quantity of pure acid= 20% of 8 litres
= (20/100×8)litres
= 1.6 litres.
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