model 5 income & expenditure 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 CPO S.I.2003]

If the monthly salary of an employee is increased by 2$2/3$% , he gets 72 rupees more. His monthly salary (in rupees) is

a) 2700

b) 3600

c) 7200

d) 2000

Shortcut »

Answer: (a)

Suppose monthly income = Rs.x

Then, $8/3$% of x = 72

x × $8/300$ = 72

${72× 300}/8$ = Rs.2700

Question : 12 [SSC Investigater 2010]

Income of A is 10% more than income of B. Let B's income be x% less than A's income. Find x.

a) 11%

b) 10$1/11$%

c) 9$1/11$%

d) 10%

Shortcut »

Answer: (c)

Using Rule 8,

Simple method

x = $(10/{100 + 10} × 100)$%

= $(1000/110)% = (100/11)% = 9{1}/11%$

Note : If A is r% more than B, then B is

$(r/{100 + r} × 100)$% less than A

Question : 13 [SSC CISF ASI 2010]

A's salary is 40% of B's salary and B's salary is 25% of C's salary. What percentage of C's salary is A's salary ?

a) 15%

b) 10%

c) 5%

d) 20%

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Answer: (b)

Let B's salary = Rs.100

C's salary = Rs.400

and A's salary = Rs.40

Required percentage = $40/400 ×100$ = 10%

Question : 14

A person gave 20% of his income to his elder son, 30% of the remaining to the younger son and 10% of the balance, he donated to a trust. He is left with Rs.10080. His income was :

a) Rs.30000

b) Rs.40000

c) Rs.50000

d) Rs.20000

Shortcut »

Answer: (d)

Let income be Rs.100

Sum given to elder son = 20% of Rs.100 = Rs.20

Remaining Sum = Rs. 80

Sum given to younger son = 30% of Rs.80 = Rs.24

Remaining sum = Rs.(80 – 24) = Rs. 56

Sum given to the trust = 10% of Rs.56 = Rs.5.6

Remaining sum = Rs.(56 – 5.6) = Rs.50.4

When Rs.50.4 remains, total income = Rs.100

When Rs.10080 remains, total income = ${100 × 10080}/50.4$ = Rs.20000

Using Rule 20,

If a person saves ‘R' rupees after spending x% on food, y% on cloth and z% on entertainment of his income then,

Monthly income = $100/{100 - (x + y +z)}× R$

Here, R = Rs.10080; x = 20%, y = 30%, and z = 10%

Monthly income = $100/{100 – (20 +24 + 5.6)} ×10080$

= $1008000/{100 – 49.6} = 1008000/50.4 = 20,000$

Question : 15

If 60% of A's income is equal to 75% of B's income, then B's income is equal to x% of A's income. The value of x is :

a) 80

b) 60

c) 70

d) 90

Shortcut »

Answer: (a)

Let A's income = Rs.a

and B's income = Rs.b

a × 60% = b × 75%

a × 4 = 5 × b

$b/a = 4/5$

Now, b = a × x%

$b/a = x/100 ⇒ x/100 = 4/5$

$x = 4/5×$ 100 = 80

IMPORTANT quantitative aptitude EXERCISES

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