Percentage

कुल प्रश्न: 40 | पेज 1

1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
A. 15
B. 16
C. 18
D. 25

सही उत्तर: [B]

हल (Solution):
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

20 - x x 100 = 25
x
2000 - 100x = 25x

125x = 2000

x = 16.
2. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A. 45%
B. 45 5 % 11
C. 54 6 % 11
D. 52%

सही उत्तर: [B]

हल (Solution):
Number of runs made by running = 110 - (3 x 4 + 8 x 6)

= 110 - (60)

= 50.

Required percentage = 50 x 100 % = 45 5 %
110 11
3. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A. 45%
B. 45 5/11 %
C. 54 6/11 %
D. 42%

सही उत्तर: [B]

हल (Solution):
Number of runs made by running = 110 - (3 x 4 + 8 x 6)

= 110 - (60)

= 50.

Required percentage = 50 x 100 % = 45 5 %
110 11
4. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A. 39, 30
B. 41, 32
C. 42, 33
D. 43, 34

सही उत्तर: [A]

हल (Solution):
Let their marks be (x + 9) and x.

Then, x + 9 = 56/100 (x + 9 + x)
25(x + 9) = 14(2x + 9)

3x = 99

x = 33

So, their marks are 42 and 33.
5. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A. 589 apples
B. 703 apples
C. 682 apples
D. 700 apples

सही उत्तर: [D]

हल (Solution):
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.

=> 60/100 * x =420

x=(420*100/60)=700
6. If 20% of a = b, then b% of 20 is the same as:
A. 4% of a
B. 5% of a
C. 20% of a
D. None of these

सही उत्तर: [A]

हल (Solution):

20% of a = b => 20/100*a=b

=> b% of 20=(b/100*20)=(20/100*a * 1/100 *20)
=> 4/100*a= 4% 0f a.
7. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
A. 15
B. 16
C. 18
D. 25

सही उत्तर: [B]

हल (Solution):
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

20 - x x 100 = 25
x
2000 - 100x = 25x

125x = 2000

x = 16.
8. If 20% of a number is 120, then 120% of that number will be:
A. 20
B. 120
C. 480
D. 720

सही उत्तर: [D]

हल (Solution):
Let the number be x.

20% of x = 120 => (20/100) * x = 120 => x = 600.

Now, 120% of 600 = (120/100) * 600 = 720.
9. If A's income is 25% more than B's income, then by how much percentage is B's income less than A's income?
A. 20%
B. 25%
C. 16.66%
D. 33.33%

सही उत्तर: [A]

हल (Solution):
Correct Answer: A) 20%
Solution:

Formula: [R / (100 + R)] * 100

Here R = 25%

Required Percentage = [25 / (100 + 25)] * 100 = (25 / 125) * 100 = 20%.
10. Due to a 20% reduction in the price of sugar, a man can buy 4 kg more sugar for Rs. 600. Find the original price of sugar per kg
A. Rs. 30/kg
B. Rs. 37.5/kg
C. Rs. 40/kg
D. Rs. 45/kg

सही उत्तर: [B]

हल (Solution):
Correct Answer: B) Rs. 37.5/kg
Solution:

Money saved = 20% of 600 = Rs. 120.

Reduced price per kg = 120 / 4 = Rs. 30/kg.

Original Price * 80% = 30 => Original Price = (30 * 100) / 80 = Rs. 37.5/kg