model 5 income & expenditure Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (a)

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 = ${35/4}/25 × 100 = 35%$

Answer: (b)

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

Answer: (a)

Required percentage = $x/{100 - x} × 100$

= $40/60 × 100 = 200/3$= 66.66%

Answer: (c)

Let man's salary be Rs.x.

His expenditure on items of daily use

= $25/2% of x ={25×x}/200 = x/8$

So, remaining amount

=$ x - x/8 = Rs.{7x}/8$

Expenditure on house rent

= 30% of Rs.${7x}/8$

$30/100 × {7x}/8 = Rs.{21x}/80$

Now, remaining amount = ${7x}/8 - {21x}/80$

= ${70x - 21x}/80 = Rs.{49x}/80$

According to the question,

${49x}/80 = 2940$

x =${2940 × 80}/49$ = Rs.4800

Aliter : Using Rule 20,

His salary = ${100 × 2940}/{100 – (25/2 + 26.25)}$

= ${100 × 2940}/{100 – (12.5+ 26.25)}$

= $294000/61.25$ = Rs.4800

Answer: (b)

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

$25/125 × 100$ = 20%