model 4 x & y comparison 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 : 11 [SSC CHSL 2015]

How much 66$2/3$% of Rs. 312 exceeds Rs. 200?

a) Rs. 8

b) Rs. 96

c) Rs. 104

d) Rs. 4

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Answer: (a)

According to the question, Required difference

= Rs.$(312 × 200/3% - 200)$

= Rs.$(312 × 200/300 - 200)$

= Rs.(208 - 200)= Rs.8

Question : 12

If x is less than y by 25% then y exceed x by :

a) 75%

b) 33$1/3$%

c) 66$2/3$%

d) 25%

Shortcut »

Answer: (b)

Let y be 100.

x = 75

Required percentage = ${25×100}/75 = 100/3 = 33{1}/3$%

Using Rule 9,

If ‘x' is A% less than ‘y', then y is more than ‘x' by

Required% = $(A/{(100 - A)}×100)%$(increase)

Required percentage = $25/{(100 - 25)} × 100%$

= $25/75 × 100% = 33{1}/3$%

Question : 13

If x earns 25% more than y. What percent less does y earn than x ?

a) 20%

b) 16%

c) 25%

d) 10%

Shortcut »

Answer: (a)

Using Rule 8,

Required percentage = $25/{100 + 25} × 100$ = 20%

Question : 14 [SSC CGL Tier-I 2016]

x is 5 times longer than y. The percentage by which y is less than x is :

a) 80%

b) 50%

c) 70%

d) 40%

Shortcut »

Answer: (a)

Length of Y = 1 foot

Length of X = 5 feet

Required percent = $({5 – 1}/5) × 100 = 80%$

Question : 15 [SSC CGL Prelim 2000]

The difference of two numbers is 20% of the larger number. If the smaller number is 20, the larger number is :

a) 50

b) 25

c) 80

d) 45

Shortcut »

Answer: (b)

Let the larger number be x

According to question, x – 20 = 20% of x

or, x – 20 =$x/5$ or, x - $x/5$ = 20

or, 5x – x = 20 × 5 or, 4x = 20 × 5

x = 5 × 5 = 25

IMPORTANT quantitative aptitude EXERCISES

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