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

percentage PRACTICE TEST [11 - EXERCISES]

model 1 simple percentage questions

model 2 net increase or decrease in %

model 3 reducing & exceeding prices

model 4 x & y comparison

model 5 income & expenditure

model 6 consumption & remaining

model 7 marks scored in examinations

Model 8 population based

model 9 voters & election

model 10 percentage with allegations & mixture

model 11 percentage with ratios

percentage Important Formulas, Rules, Concepts & Shortcuts

Question : 21

If x% of $25/2$ is 150, then the value of x is :

a) 1400

b) 1500

c) 1000

d) 1200

Shortcut »

Answer: (d)

x% of $25/2$ = 150

$x/100 × 25/2$ =150

$x/8$ = 150

x = 150 × 8 = 1200

Question : 22 [SSC CGL Prelim 2005]

If 20% of (P + Q) = 50% of (P –Q), then find P : Q

a) 7 : 5

b) 5 : 7

c) 7 : 8

d) 7 : 3

Shortcut »

Answer: (d)

${20(P + Q)}/100 = 50/100(P – Q)$

${P + Q}/{P - Q} = 5/2$

${2P}/{2Q} = {5 + 2}/{5 - 2}$

[By componendo & dividendo]

$P/Q = 7/3$ or 7 : 3

Question : 23

The time duration of 1 hour 45 minutes is what percent of a day?

a) 8.3 %

b) 8.24 %

c) 7.218 %

d) 7.292 %

Shortcut »

Answer: (d)

1 hour 45 minutes = 1$3/4 hours = 7/4$ hours

1 day = 24 hours

Required per cent = ${7/4}/24 ×100$

= $7/{4 × 24}$× 100

= 7.292%

Question : 24

If p% of p is 36, then p is equal to :

a) 60

b) 15

c) 3600

d) 600

Shortcut »

Answer: (a)

p% of p = 36

$p/100$× p = 36

$p^2$ = 3600

p = 60

Question : 25

If 40% of (A + B) = 60% of (A – B) then $\text"2A - 3B"/ \text"A + B"$ is

a) $5/6$

b) $6/5$

c) $7/6$

d) $6/7$

Shortcut »

Answer: (c)

$(A + B) × 40/100 = (A – B) × 60/100$

2 (A + B) = 3 (A – B)

2A + 2B = 3A – 3B ⇒ A = 5B

${2A - 3B}/{A + B} = {10B - 3B}/{5B + B}$

= ${7B}/{6B} = 7/6$

IMPORTANT quantitative aptitude EXERCISES

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