# Model 5 Income & Expenditure Practice Questions Answers Test With Solutions & More Shortcuts

#### PERCENTAGE PRACTICE TEST [11 - EXERCISES]

Question : 1 [SSC DEO 2009]

The salary of a person is decreased by 25% and then the decreased salary is increased by 25%. His new salary in comparison with his original salary is

a) 6.25% less

b) 6.25% more

c) the same

d) 0.625% less

Effective change

= \$(–25 + 25 - {25 × 25}/100)%\$ = – 6.25%

The negative sign shows decrease.

Using Rule 3,

If an amount is increased by a% and then it is reduced by a% again, then percentage change will be a decrease of \$a^2/100%\$

Percentage decrease = \$a^2/100 % = (25)^2/100\$

= \$625/100\$ = 6.25%

Question : 2

What per cent decrease in salaries would exactly cancel out the 20 per cent increase?

a) 33\$1/3\$%

b) 16\$2/3\$%

c) 20%

d) 18%

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)%\$

Simple method

Required answer = \$(20/{100 + 20} × 100)\$%

= \$(20/120 × 100)% = 50/3% = 16{2}/3%\$

Question : 3 [SSC CGL Prelim 2003]

Radha spends 40% of her salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If her savings at the end of a month are Rs.1500, then her salary per month (in Rs.) is

a) Rs.6000

b) Rs.7500

c) Rs.8000

d) Rs.10000

= (40 + 20 + 10 + 10)% = 80%

Percentage savings =100 – 80 = 20%

Now, 20% of her total salary = 1500

Her total salary = \${1500 ×100}/20\$ = Rs.7500

Using Rule 20,

Here, Monthly income = \$100/{100 - (40 + 20 +10 +10)} ×1500\$

= \$150000/{100 – 80} = 150000/20\$ =Rs.7500

Question : 4 [SSC HSL DEO & LDC 2010]

X's income is 20% more than that of Y. What per cent is Y's income less than X ?

a) 83\$2/3\$%

b) 16\$2/3\$%

c) 83\$1/3\$%

d) 16\$1/3\$%

Using Rule 8,

Required percentage = \$20/{100 + 20} × 100\$

= \$50/3 =16{2}/3%\$

Question : 5 [SSC SO 2003]

If the total monthly income of 16 persons is Rs.80,800 and the income of one of them is 120% of the average income, then his income is

a) Rs.6,160

b) Rs.6,060

c) Rs.5,050

d) Rs.6,600

Let the required income be Rs.x Average monthly income

= Rs.\$(80800/16)\$ = Rs.5050

x = 120% of 5050

= Rs.\$(120/100 × 5050)\$ = Rs.6060

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