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If in a society of 250, there are 40 % literates and among illiterates, there are 60 % males, then among totality of society, what percentage are illiterate women?

A.

42%

B.

24%

C.

48%

D.

60%

Answer with explanation

Answer: Option BExplanation

As per given statement,

If there are 40% literates, then there will be 60% illiterates => (60/100) * 250 = 150

If among illiterates, there are 60% males, then, there will be 40% females => (40/100) * 150 = 60

Then among totality of society, Percentage of illiterate women will be,

===>>> (60/250) * 100 = 24%.

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There is a certain amount from which A takes 25% then B takes 50% of remaining amount, then C takes 75% of the remaining amount. Now if the amount left is 5,760 then what is the actual sum?

A.

Rs. 58,220

B.

Rs. 59,680

C.

Rs. 60,600

D.

Rs. 61,440

Answer with explanation

Answer: Option DExplanation

Let X be the actual amount.

Then from the question,

75% of 50% of 25% of X = 5760

=> X = (5760 x 100 x 100 x 100)/(75 x 50 x 25) = 61440

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The percentage change of a number when it is first decreased by 10% and then increased by 10% is

A.

0.1% increase

B.

1% decrease

C.

0.1 % decrease

D.

No changes

Answer with explanation

Answer: Option BExplanation

Required percentage change = 10 – 10 – 10 x 10/100 = – 1 i.e. 1 % decrease

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A publisher printed 2000 copies of a book at a cost of Rs. 70,000. He distributes 400 copies free as specimen copies. He gave 30% discount on printed price and the printed price of each book is Rs. 75. What is his gain or loss percentage ?

A.

20% gain

B.

20% loss

C.

10% loss

D.

10% gain

Answer with explanation

Answer: Option AExplanation

According to the question,

C.P of a book = 70000/(2000 – 400) = Rs. 43.75

So, S.P of a book = 75 * (1 – 30/100) = Rs. 52.5

So, gain % = (52.5 – 43.75)/43.75 * 100 = 20% gain

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A watch is listed for Rs.230 and is sold at a discount of 12%, then the sale price of the watch is

A.

Rs.206

B.

Rs.276

C.

Rs.202.4

D.

Rs.257.6

Answer with explanation

Answer: Option CExplanation

According to the question,

Sale price = 230 * (100 – 12)/100 = Rs. 202.4

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Two candidates participate in election. 10% votes did not cast their vote and 20% votes found invalid. Winner candidate got 75% of the valid votes and won by 10800 votes. Find the total number of votes?

A.

27750

B.

26500

C.

30,000

D.

29000

Answer with explanation

Answer: Option CExplanation

Total no. of votes = 100%

Votes not cast = 10%

Invalid votes = 20%

Valid votes = 90/100 × 80 = 72%

Votes received by winner = 72 × 75/100 = 54%

Votes received by Loser = 72 – 54 = 18%

So, difference = 36% votes = 10800

100% = 10800/36 × 100 = 30,000 votes.

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The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?

A.

30 kg

B.

15 kg

C.

25 kg

D.

10 kg

Answer with explanation

Answer: Option CExplanation

Let Rs. 100 be spend on rice initially for 20 kg.

As the price falls by 20%, new price for 20 kg rice, = (100 -20% of 100) = 80

New price of rice = 80/20 = Rs. 4 per kg.

Rice can bought now at = 100/4 = 25 kg.

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Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax-free items?

A.

Rs. 15.20

B.

20

C.

Rs. 15

D.

Rs. 19.70

Answer with explanation

Answer: Option DExplanation

Cost of tax free items = Rs. [25 – (5 + 0.30)] = Rs. 19.70

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The difference between a number and its two-fifth is 510. What is 10% of that number?

A.

105

B.

95

C.

85

D.

75

Answer with explanation

Answer: Option CExplanation

Let the number be x. Then, x-(2/5)x = 510

=> 3x/5 =510

=>x =[510 * ( 5/3)] =850

10 % 0f 850 = 85.

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8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was.

A.

22000

B.

27500

C.

21000

D.

23500

Answer with explanation

Answer: Option BExplanation

Let the total number of voters be x

Votes cast = 92 % of x = (92/100 × x) = 23x/25

Votes in favor of winning candidate = 48/100 × x = 12x/25

Votes polled by defeated candidate = (23x/25 – 12x/25)

= 11x/25 12x/25 – 11x/25 = 1100

=> 12x – 11x = 27500

=> x = 27500

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Last year, the population of a town was x and if it increases at the same rate, next year it will be y. the present population of the town is

A.

√xy

B.

2xy/x+y

C.

(y-x)/2

D.

(x+y)/2

Answer with explanation

Answer: Option AExplanation

Let the present population of the town be P.

Using compound interest formula

Then, P = x(1+(R/100)); ——(i)

And y = P(1+(R/100)) = P*P/x; ——-(ii)

P^{2} = xy;

Hence, P = √xy.

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A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.

A.

200

B.

100

C.

150

D.

50

Answer with explanation

Answer: Option BExplanation

From the given statement pass percentage is 42% – 12% = 30%

By hypothesis, 30% of x – 20% of x = 10 (marks)

i.e., 10% of x = 10

Therefore, x = 100 marks.

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Each side of a rectangle is increased by 100%. By what percentage does the area increase?

A.

200

B.

250

C.

300

D.

350

Answer with explanation

Answer: Option CExplanation

Let the length of the rectangle = l

Let the breadth of the rectangle = b

Then the area of the rectangle(A) = length x Breadth

= l*b

According to the question,

Length = l + 100/100*l

= l+l

= 2l

Breadth = b + 100/100*b

= b+b

= 2b

New Area(A’) = length x breadth

= 2l x 2b

= 4lb

= 4A

Increase in area = 4A-A

= 3A

Increase percentage = Increase in amount/Original Amount*100 %

= 3A/A*100 %

= 300%

Therefore area is increased by 300%

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