model 1 simple percentage questions Practice Questions Answers Test with Solutions & More Shortcuts

Question : 31 [SSC CGL Prelim 2005]

Out of two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is

a) 90

b) 60

c) 70

d) 80

Answer: (a)

Let greater number be x.

Smaller number = 150 - x

According to the question,

${40 ×x}/100 = {60(150 - x)}/100$

2x = 3 × 150 - 3x

5x = 3 × 150

x = 90

Question : 32 [SSC MTS 2013]

The population of a village is 25,000. One fifth are females and the rest are males. 5% of males and 40% of females are uneducated. What percentage on the whole are educated?

a) 55%

b) 85%

c) 75%

d) 88%

Answer: (d)

Males = 25000 × $4/5$ = 20000

Females = 5000

Educated males = 20000 × $95/100$ = 19000

Educated females = ${5000 × 60}/100$ = 3000

Total educated persons = 22000

Required percent = $22000/25000 × 100$ = 88%

Question : 33 [SSC SO 2005]

What percent of 3.5 kg is 70 gms ?

a) 5%

b) 2%

c) 3%

d) 4%

Answer: (b)

Required percentage = $70/{3.5 × 1000} × 100$ = 2%

Question : 34 [SSC Constable 2012]

If x% of a is the same as y% of b, then z% of b will be

a) ${xy}/z$% of a

b) $y/z$% of a

c) ${yz}/x$% of a

d) ${zx}/y$% of a

Answer: (d)

${ax}/100 = {by}/100$

b = ${ax}/y$

z% of b = ${ax}/y × z/100$

= ${xz}/y$% of a

Question : 35

30% of x is 72. The value of x is:

a) 480

b) 640

c) 216

d) 240

Answer: (d)

30% of x = 72

x = ${72 × 100}/30$ = 240

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