Percentage

  Percentage SET: Q16-Q20


16. When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs. 270. Then, the original price of sugar per kg is
1
Rs. 25
2
Rs. 30
3
Rs. 27
4
Rs. 32

Solution: 2

Let the original price of the sugar per kg be Rs. X. Let the quantity of sugar purchased initially be Y units in Rs. 270.

Thus, X × Y = 270 ….(1)

Given: Price of sugar decreased by 10%.

∴New price of sugar per Kg 

= 0.9X

Since the man could buy 1 more kg on his reduction of price, hence

⇒ Quantity of sugar purchased = Y + 1

As the total expenditure remains the same i.e. Rs. 270, therefore

⇒ 0.9X × (Y + 1) = 270 …(2)

Dividing equation (1) by (2), we get


⇒ Y = 0.9Y + 0.9

⇒ Y = 9 units

∴ From equation (1) we get, X = Rs. 30

 

 

10% = 1

100% = 10 kg final

but he buy = 10 - 1 = 9kg original

9 kg = Rs.270 

1 kg = Rs.30 

17. Two candidates contested in an election. If one got 520 votes which was 65% of votes, then what was the total number of votes?
1
780
2
820
3
800
4
870

Solution: 3

Let the total number of votes in the election be ‘x’, then,

According to the question, one candidate got 65% of votes which was 520 votes.

⇒ x × (65/100) = 520

 ⇒ x = 520 × (100/65) = 800

∴ Total number of votes in the election was 800.

18. If 50% of (x – y) = 30% of (x + y), then what percent of x is y?
1
35%
2
40%
3
25%
4
30%

Solution: 3

Given,

50% of (x – y) = 30% of (x + y)

⇒ (50/100) (x – y) = (30/100) (x + y)

⇒ 5(x – y) = 3(x + y)

⇒ 5x – 3x = 3y + 5y

⇒ 2x = 8y

⇒ x = 4y

∴ Required per cent

⇒ (y/x) × 100%

⇒ (y/4y) × 100%

⇒ (1/4) × 100%

⇒ 25%

19. After selling 5% of a quantity of sugar, 5 Kgs of sugar remains. Find the total quantity of sugar?

1
19 kg
2
5.26 kg
3
10 kg
4
95 kg

Solution: 2

According to the given question

Let the total sugar be ‘x’ kg

95% of total sugar = 5kg

Therefore,

95/100 × x = 5

x = 5 × 100/95

x = 5.26 kg


20. A reduction of 20% in the price of sugar enables Mr. Bhadra to buy an extra 5 kg of it for Rs.320. The original rate of sugar is
1
Rs.12 per kg
2
Rs.15 per kg
3
Rs.16 per kg
4
Rs.20 per kg

Solution: 3





 SET 01 : Q1 - Q5

 SET 05 : Q21 - Q25

SET 06 : Q26 - Q30

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