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

Question : 26

Nitin's salary was reduced by 10% and then the reduced salary was increased by 10%. His new salary in comparison with his original salary is

a) 1% less

b) 1% more

c) the same

d) 5% less

Answer: (a)

Let Nitin's initial salary be 100

After 10% reduction,

New salary = 90% of 100 = Rs.90

Again after 10% increase

New salary = ${90 × 110}/100$ = Rs.99

Percentage decrease =1 %

Question : 27 [SSC CPO S.I.2006]

A's salary is 50% more than that of B. How much per cent is B's salary less than that of A?

a) 45%

b) 33$1/3$%

c) 50%

d) 66$2/3$%

Answer: (b)

Using Rule 8,

Simple approach

Required percentage = $(50/{100 + 50} × 100)%$

= $50/150 × 100 = 100/3 = 33{1}/3%$

Question : 28 [SSC CISF ASI 2010]

Mita's income is 25% more than that of Sita. What percent is Sita's income less than that of Mita ?

a) 22$1/2$%

b) 24%

c) 25%

d) 20%

Answer: (d)

Using Rule 8,

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

Question : 29 [SSC CHSL 2010]

Ram saves 14% of his salary while Shyam saves 22%. If both get the same salary and Shyam saves Rs.1540, what is the savings of Ram?

a) Rs.890

b) Rs.980

c) Rs.990

d) Rs.880

Answer: (b)

If Shyam's salary be Rs.x,

then ${22 × x}/100 = 1540$

x = ${1540 × 100}/22$ = Rs.7000

Ram's savings = ${14 × 7000}/100$ = Rs.980

Question : 30 [SSC CGL Tier-I 2010]

If A's income is 50% less than that of B's, then B's income is what per cent more than that of A ?

a) 75%

b) 100%

c) 125%

d) 50%

Answer: (b)

Using Rule 9,

Tricky approach

Required percentage = $50/{100 - 50} × 100$ = 100%

Otherwise

Let's B income = Rs.100; A income = Rs.50.

Required % = ${100 - 50}/50 × 100$ = 100%

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