Percentage
- p is six times as large as q. The per cent that q is less than p, is
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If a number is x% more than other, then the other number is less than the first number by
x × 100% 100
∴ Required answer= 500 × 100 = 500 × 100 100 + 500 600 = 250 = 83 1 3 3
Method 2 : Let q = x, p = 6x.
p – q = 6x – x = 5xIn % = 5x × 100 = 83 1 % 6x 3 Correct Option: A
If a number is x% more than other, then the other number is less than the first number by
x × 100% 100
∴ Required answer= 500 × 100 = 500 × 100 100 + 500 600 = 250 = 83 1 3 3
Method 2 : Let q = x, p = 6x.
p – q = 6x – x = 5xIn % = 5x × 100 = 83 1 % 6x 3
- In the expression xy2, the values of both variables x and y are decreased by 20%. By this, the value of the expression is decreased by
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Let x = 10 and y = 10
∴ xy2 = 10 × 10 × 10=1000 units
Decreasing values of x and y by 20%,
Expression = xy2 = 8 × 8 × 8 = 512
Decrease= 1000–512 = 488 units
Percentage decrease= 488 × 100 = 48.8% 1000 Correct Option: C
Let x = 10 and y = 10
∴ xy2 = 10 × 10 × 10=1000 units
Decreasing values of x and y by 20%,
Expression = xy2 = 8 × 8 × 8 = 512
Decrease= 1000–512 = 488 units
Percentage decrease= 488 × 100 = 48.8% 1000
- A person loses 75% of his money in the first bet, 75% of the remaining in the second and 75% of the remaining in the third bet and returns home with Rs. 2 only. His initial money was
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Initial amount with the man = Rs. x (let).
Remaining amount after first bet= Rs x 64 ∴ x = 2 ⇒ x = 2 × 64 = Rs. 128 16 Correct Option: B
Initial amount with the man = Rs. x (let).
Remaining amount after first bet= Rs x 64 ∴ x = 2 ⇒ x = 2 × 64 = Rs. 128 16
- A boy who was asked to find
3 1 % 2
of a sum of money misread the question and found5 1 % 2
of it. His answer was ₹ 220. What would have been the correct answer ?
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Let sum of money be x
∴ 11 % of x = 220 2 ⇒ x = 220 × 200 = 4000 11 ∴ 3 1 % of 4000 = 7 × 4000 = ₹ 140 2 2 100 Correct Option: B
Let sum of money be x
∴ 11 % of x = 220 2 ⇒ x = 220 × 200 = 4000 11 ∴ 3 1 % of 4000 = 7 × 4000 = ₹ 140 2 2 100
- In a factory 60% of the workers are above 30 years and of these 75% are males and the rest are females. If there are 1350 male workers above 30 years, the total number of workers in the factory is
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Let the total number of workers in the factory be x
∴ x × 60 × 75 = 1350 100 100 ⇒ x = 1350 × 100 × 100 = 3000 60 × 75 Correct Option: A
Let the total number of workers in the factory be x
∴ x × 60 × 75 = 1350 100 100 ⇒ x = 1350 × 100 × 100 = 3000 60 × 75
