Percentage
- If 50% of (x – y) = 30% of (x + y), then what percent of x is y?
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According to question ,
50% of (x – y) = 30% of (x + y)⇒ 1 (x - y) = 3 (x + y) 2 10 ⇒ x - 3x = 3 y + y 2 10 10 2 ⇒ 5x - 3x = 3y + 5y 10 10 ⇒ x = 4y 5 5
∴ x = 4y
Correct Option: A
According to question ,
50% of (x – y) = 30% of (x + y)⇒ 1 (x - y) = 3 (x + y) 2 10 ⇒ x - 3x = 3 y + y 2 10 10 2 ⇒ 5x - 3x = 3y + 5y 10 10 ⇒ x = 4y 5 5
∴ x = 4y⇒ y = x ⇒ y = x × 100 % = 25x 4 4
Obviously, y is 25% of x
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If y% of 25 is 150, then the value of y is : 2
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Given that , y% of 25 150 2 ⇒ y × 25 = 150 100 2
Correct Option: B
Given that , y% of 25 150 2 ⇒ y × 25 = 150 100 2 ⇒ y = 150 8
⇒ y = 150 × 8 = 1200
- A man received ₹ 8,80,000 as his annual salary of the year 2007 which was 10% more than his annual salary in 2006. His annual salary in the year 2006 was
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Using Rule 17,
Let the man’s annual salary in 2006 be ₹ x∴ 110x = 880000 100 ⇒ x = 880000 × 100 = ₹ 800000 110 Correct Option: B
Using Rule 17,
Let the man’s annual salary in 2006 be ₹ x∴ 110x = 880000 100 ⇒ x = 880000 × 100 = ₹ 800000 110
- In a college election a candidate secured 62% of the votes and is elected by a margin of 144 votes. The total number of votes polled is :
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Total number of votes polled = x (let)
According to the question,x × 60 - x × (100 - 60) = 144 100 100 ⇒ 60x - 38x = 144 100 100 ⇒ 24x = 144 100
⇒ 24x = 144 × 100⇒ x = 144 × 100 = 600 24
Aliter : Using Rule 26
Total number of votes= 50 × 144 = 600 50 - 62
(–ve sign will be neglected)
Correct Option: B
Total number of votes polled = x (let)
According to the question,x × 60 - x × (100 - 60) = 144 100 100 ⇒ 60x - 38x = 144 100 100 ⇒ 24x = 144 100
⇒ 24x = 144 × 100⇒ x = 144 × 100 = 600 24
Aliter : Using Rule 26
Total number of votes= 50 × 144 = 600 50 - 62
(–ve sign will be neglected)
- In an election 10% of the voters on the voters’ list did not cast their votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all the voters in the list and he got 308 votes more than his rival. The number of voters on the list was
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Total voters in the list = x
Votes got by the winner= 47x 100
Votes got by the loser= x – x – 60 – 47x 10 100 = 9x – 47x – 60 10 100 = 90x – 47x – 60 100 = 43x – 60 100
According to the question,= 47x – 43x + 60 = 308 100 100 ⇒ 4x = 308 – 60 = 248 100 ⇒ x = 248 × 100 = 6200 4 Correct Option: B
Total voters in the list = x
Votes got by the winner= 47x 100
Votes got by the loser= x – x – 60 – 47x 10 100 = 9x – 47x – 60 10 100 = 90x – 47x – 60 100 = 43x – 60 100
According to the question,= 47x – 43x + 60 = 308 100 100 ⇒ 4x = 308 – 60 = 248 100 ⇒ x = 248 × 100 = 6200 4
