CAT QUANT PERCENTAGE 8

Question 1:

In prepaid card of same price, company A gives $19 \%$ less talk time than company B. On post paid card of same price company A and B respectively gives $11 \frac{1}{9} \%$ and $10 \%$ less talk time respectively than their prepaid card. Find how much $\%$ less talk time will be given by A than B on post paid card?

10

20

19

23

Question 2:

The total of male and female populations in a city increased by $25 \%$ from 1970 to 1980. During the same period, the male population increased by $40 \%$ while the female population increased by $20 \%$. From 1980 to 1990 , the female population increased by $25 \%$. In 1990 , if the female population is twice the male population, then the percentage increase in the total of male and female populations in the city from 1970 to 1990 is

$68.75$

$68.50$

$68.25$

$69.25$

Question 3:

In a tournament, a team has played 40 matches so far and won $30 \%$ of them. If they win $60 \%$ of the remaining matches, their overall win percentage will be $50 \%$. Suppose they win $90 \%$ of the remaining matches, then the total number of matches won by the team in the tournament will be

86

84

78

80

Question 4:

Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is $12 \%$ less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

127

135

124

144

Question 5:

In a recent survey $40 \%$ houses contained 2 or more people. Of those houses containing only one person, $25 \%$ were having only a male. What is the percentage off all houses which contain exactly one female and no males (Assume that each house contains at least 1 person)

75

40

15

45

Question 6:

The price of a certain article is initially increased by $x \%$ and later on the new price is decreased by $x \%$ as a result of which the price of the article finally became Re 1 . Find the initial price of the article.

$\frac{10000-x^{2}}{10000}$

$\frac{x^{2}-10000}{10000}$

$\frac{10000}{10000-x^{2}}$

$\frac{10000}{10000+x^{2}}$

Question 7:

The cost of a piece of cloth was Rs 35 . When length increased by 4 meter and per meter cost reduced by Re 1 , then the cost of the price remained same as before. Find the percentage increase in the initial length of the cloth.

20

30

40

50

Question 8:

The strength of an indigo solution in percentage is equal to the amount of indigo in grams per $100 \mathrm{cc}$ of water. Two $800 \mathrm{cc}$ bottles are filled with indigo solutions of strengths $33 \%$ and $17 \%$, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to $21 \%$ then the volume, in cc, of the solution left in the second bottle is

$100 \mathrm{cc}$

$200 c c$

$300 \mathrm{cc}$

$400 \mathrm{cc}$

Question 9:

A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If $40 \%$ of the white balls and $50 \%$ of the black balls are metallic, then the number of non-metallic balls in the box is

150

200

250

300

Question 10:

If a certain weight of an alloy of silver and copper is mixed with $3 \mathrm{~kg}$ of pure silver, the resulting alloy will have $90 \%$ silver by weight. If the same weight of the initial alloy is mixed with $2 \mathrm{~kg}$ of another alloy which has $90 \%$ silver by weight, the resulting alloy will have $84 \%$ silver by weight. Then, the weight of the initial alloy, in $\mathrm{kg}$, is

3

$2.5$

4

$3.5$