percentage Model Questions & Answers, Practice Test for ssc cgl tier 1

Question :21

75% of 740 of $3/5 = ?$

Answer: (d)

$740 × 75/100 × 3/5$ = 333

Question :22

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is $9/35$. What is the original fraction?

Answer: (e)

Fraction is $x/y$

∴ ${x + 200/100x}/{y + 150/100y}= 9/35$

${x + 2x}/{y + 1.5y} = 9/35$

${3x}/{2.5y} = 9/35$

$x/y = {9 × 2.3}/{3 × 35} = 3/14$

Question :23

If 50% of (P– Q) = 30% of (P + Q) and Q = x% of P, then the value of x is:

Answer: (a)

$\text"P - Q"/2 = \text"(P + Q)" × 30/100$

5(P – Q) = (P + Q) × 3

5P – 3P = 5Q + 3Q

2P = 8Q ⇒ P = 4Q

Q = $x/100$ × P

Q = $x/100$ × 4Q

${4x}/100$ ⇒ x = 25

Question :24

In a class, 40% of the boys is same as $1/2$ of the girls and there are 20 girls. Total number of students in the class is :

Answer: (b)

40 % of boys = $20/2$

⇒ 40% of boys = 10 girls

Total no. of boys = 25

∴ Total number of students = 25 + 20 = 45

Question :25

720 sweets were distributed equally among children in such a way that number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive ?

Answer: (d)

Let the total number of children = x

Then, $720/x$ = 20% of x = $20/100 × x = x/5$

$x^2$ = 720 × 5 = 3600

x = 60

∴ Each child receive = $720/60 = 12$ sweets

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