Practice Income expenditure - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) 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)
(b)
(c)
(d)
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
Q-2) A man spends 75% of his income. His income increased by 20% and he increased his expenditure by 15%. His savings will then be increased by
(a)
(b)
(c)
(d)
Let man's income = Rs.100
Savings = 100 – 75 = Rs.25
New income = Rs.120
Savings = $120 - {75 × 115}/100 = 120 - 345/4$
= ${480 – 345}/4 = Rs.135/4$
Increase in savings =$135/4 - 25 = Rs.35/4$
Percentage increase = ${35/4}/25 × 100 = 35%$
Q-3) 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)
(b)
(c)
(d)
Let B's salary = Rs.100
C's salary = Rs.400
and A's salary = Rs.40
Required percentage = $40/400 ×100$ = 10%
Q-4) The monthly income of a person was Rs.13,500 and his monthly expenditure was Rs.9,000. Next year his income increased by 14% and his expenditure increased by 7%. The per cent increase in his savings was
(a)
(b)
(c)
(d)
Original savings = Rs.(13500 – 9000) = Rs.4500
New income = 114% of Rs.13500 = Rs.(114 × 135) = Rs.15390
New expenditure = 107% of Rs.9000 = Rs.(107 × 90) = Rs.9630
New savings = Rs.(15390 – 9630) = Rs.5760
Percentage increase in savings = ${5760 – 4500}/4500$ × 100
= $1260/45$ = 28%
Q-5) The income of C is 20% more than B's and the income of B is 25% more than A's. Find by how much per cent is C's income more than A's ?
(a)
(b)
(c)
(d)
Suppose income of A = Rs.100
Income of B = Rs.125
Income of C = Rs.150
Required percentage = ${50 × 100}/100$ = 50%
Q-6) 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)
(b)
(c)
(d)
Suppose monthly income = Rs.x
Then, $8/3$% of x = 72
x × $8/300$ = 72
${72× 300}/8$ = Rs.2700
Q-7) The allowances of an empolyee constitutes 165% of his basic pay. If he receives Rs.11925 as gross salary, then his basic pay is (in Rs.) :
(a)
(b)
(c)
(d)
Basic pay of the employee
= $11925 × 100/265$ = Rs.4500
Q-8) A person who spends 66$2/3$% of his income is able to save Rs.1,200 per month. His monthly expenses (in Rs.) is :
(a)
(b)
(c)
(d)
Savings = 100% - 66$2/3$%
= 33$1/3$% Since, 33$1/3$% ≡ Rs.1200
100% ≡ $1200/100 ×3 × 100$ = Rs.3600
Expenses = 3600 - 1200 = Rs.2400
Aliter : 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.1200; x = 66$2/3$%
Monthly income = $100/{100 - 66{2}/3} × 1200$
= $100/{100 - 200/3} × 1200$
= $300/100 × 1200$ = Rs.3600
Expenses = Income – savings = 3600 – 1200 = 2400
Q-9) If Nita's salary is 25 per cent more than Papiya's salary, then the percentage by which Papiya's salary is less than Nita's salary is
(a)
(b)
(c)
(d)
Using Rule 8,
If the income of a man is A% more than another man, then income of another man is less in comparison to the 1st man by
$(A/(100 + A)× 100)%$
Required percentage = $25/{100 + 25} × 100$
$25/125 × 100$ = 20%
Q-10) Income of A is 10% more than income of B. Let B's income be x% less than A's income. Find x.
(a)
(b)
(c)
(d)
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