model 1 simple percentage questions Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6 [SSC CHSL 2011]

If 20% of (A + B) = 50% of B, then value of $\text"2A - B"/ \text"2A + B"$ is

a) $1/4$

b) 1

c) $1/2$

d) $1/3$

Answer: (c)

(A + B) × $20/100 = B × 50/100$

${A + B}/ 5 = B/2$

2A + 2B = 5B

2A = 3B

${2A}/B$ = 3 or 2A = 3B

${2A - B}/{2A + B} = {2{A/B} - 1}/{2{A/B} + 1} = {3 - 1}/{3 + 1}$

= $2/4 = 1/2 = {3B - B}/{3B + B} = {2B}/{4B}$

Question : 7

If 125% of x is 100, then x is :

a) 400

b) 125

c) 80

d) 150

Answer: (c)

$x × 125/100 = 100$

$x = {100 × 100}/125 = 80$

Question : 8 [SSC CGL Prelim 2002]

If 50 % of P = 25% of Q, then P = x% of Q. Find x.

a) 50

b) 0.005

c) 0.5

d) 2

Answer: (a)

P × $50/100 = Q × 25/100$

P × 50 = Q × 25

P = ${Q × 25}/50 ⇒ P = Q/2$

P = Q x %

Q × $x/100 =Q/2$

x = $100/2$ = 50

Question : 9 [SSC CGL Prelim 2002]

What is 20% of 25% of 300?

a) 45

b) 15

c) 150

d) 60

Answer: (b)

20% of 25% of 300 =$20/100 × 25/100 × 300$

= $1/5 × 1/4 × 300$= 15

Question : 10 [SSC CGL Tier-1 2011]

If 90% of A = 30% of B and B = x% of A, then the value of x is

a) 700

b) 400

c) 800

d) 300

Answer: (d)

A × $90/100 = {B × 30}/100$

A × 3 = B

A × x% = A × 3

$x/100$ = 3 ⇒ x = 300

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