CTET Maths MCQ - Algebra

16 Income of x is greater than income
of y by 25%. Income of y is how
many per cent lesser than that of x² ?

A
25%
B
30%
C
20%
D
22%

View Explanation
Comment

Here a= 25%. Required percentage = [a / (100+a)] x 100% . = (25/100) x 100 % = 20%

17 The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number?

A
1054
B
1178
C
1037
D
1159

View Explanation
Comment

Let the number be x.
According to the question,
(78 - 59)%of x = 323 => (19 × x)/100 = 323.
=> x = (323 x 100) / 19 = 1700.
=> 62% of 1700 = (62 x 1700) / 100 = 1054

18 Find the value of x% of y + y% of x.

A
3% of xy
B
2% of xy
C
5% of xy
D
4% of xy

View Explanation
Comment

x% of y + y% of x
⇒ (x/100) × y+ (y/100) × x = 2 × (xy/100) = 2% of xy

19 8% of A is equal to 4% of B, then 20% of A is

A
10% of B
B
15% of B
C
20% of B
D
25% of B

View Explanation
Comment

(8/100) x A = (4/100) x B ⇒ (2/100)A = (1/100)B ⇒ (20/100)A = (10/100)B ⇒ 20% of A = 10% of B

20 If 50% of (x - y) = 30% of (x + y), what per cent of x is y?

A
20%
B
22%
C
25%
D
27%

View Explanation
Comment

50% of (x-y) = 30% of (x + y)
⇒ (50/100) (x - y) = (30/100) (x + y)
⇒ 5x - 5y = 3x + 3y ⇒ 2x = 8y ⇒ x = 4y
Required percentage = y/x × 1000%
= (y/4y) x 100% = 25%

CTET Maths MCQ - Algebra

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