Aptitude - Percentage
16.
(50 + 50% of 50) = ?
Answer
50 + 50% of 50 = 50 + 50100 x 50 = 50 + 25 = 75
Answer :
Option BExplanation :
50 + 50% of 50 = 50 + 50100 x 50 = 50 + 25 = 75
17.
A number increased by 37.5% gives 33. The number is
Answer
137.5% of x = 33
⇒ 137.5100 x x = 33 ⇒ x = 33 x 100137.5 = 24
Required number = 24
Answer :
Option BExplanation :
137.5% of x = 33
⇒ 137.5100 x x = 33 ⇒ x = 33 x 100137.5 = 24
Required number = 24
18.
The quantity of water that should be added to reduce 9 ml lotion containing 50% alcohol to a lotion containing 30% alcohol, is
Answer
Alcohol in 9 ml lotion = 50100 x 9 ml = 4.5 ml
Water in it = (9 − 4.5) ml = 4.5 ml
Let x ml of water be added to it. Then,
4.59 + x = 30100 = 310 ⇒ 3(9 + x) = 45 ⇒ 27 + 3x = 45
⇒ 3x = 18 ⇒ x = 6
Answer :
Option DExplanation :
Alcohol in 9 ml lotion = 50100 x 9 ml = 4.5 ml
Water in it = (9 − 4.5) ml = 4.5 ml
Let x ml of water be added to it. Then,
4.59 + x = 30100 = 310 ⇒ 3(9 + x) = 45 ⇒ 27 + 3x = 45
⇒ 3x = 18 ⇒ x = 6
19.
A man's wages were decreased by 50%. Again the reduced wages were increased by 50%. He has a loss of :
Answer
Let initial wages = Rs. 100, Decreased wages = Rs. 50
Finally, wages = 150% of Rs. 50 = Rs. 150100 x 50 = Rs. 75
∴ He has a loss of 25%
Answer :
Option DExplanation :
Let initial wages = Rs. 100, Decreased wages = Rs. 50
Finally, wages = 150% of Rs. 50 = Rs. 150100 x 50 = Rs. 75
∴ He has a loss of 25%
20.
If the price of eraser is reduced by 25%, a person can buy 2 more erasers for a rupee. How many erasers are available for a rupee ?
Answer
Let n erasers be available for a rupee.
Reduced price = 75100 x 1 = Rs. 34
75100 will fetch n erasers, Rs. 1 will fetch n x 43 erasers
∴ 4n3 = n + 2 ⇒ 4n = 3n + 6 ⇒ n = 6
Answer :
Option BExplanation :
Let n erasers be available for a rupee.
Reduced price = 75100 x 1 = Rs. 34
75100 will fetch n erasers, Rs. 1 will fetch n x 43 erasers
∴ 4n3 = n + 2 ⇒ 4n = 3n + 6 ⇒ n = 6
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