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Q:

If 20% of a = b, then b% of 20 is the same as :

A) 4% of a	B) 6% of a
C) 8% of a	D) 10% of a

Answer & Explanation Answer: A) 4% of a

Explanation:

20% of a = b

=> (20/100) * a = b

b% of 20 =(b/100) x 20 = [(20a/100) / 100] x 20= 4a/100 = 4% of a.

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Q:

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :

A) 10000	B) 12000
C) 14000	D) 16000

Answer & Explanation Answer: B) 12000

Explanation:

Purchase price = $R s . [\frac{8748}{{^{(1 - \frac{10}{100})}}^{3}}]$ = Rs. [8748 * (10/9) * (10/9 )* (10/9)] = Rs.12000

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Q:

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

A) 75	B) 85
C) 95	D) 105

Answer & Explanation Answer: B) 85

Explanation:

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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Q:

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

A) (16 + 2/3) %	B) (15 + 2/3)%
C) (14 +1/3)%	D) (13 + 4/5)%

Answer & Explanation Answer: A) (16 + 2/3) %

Explanation:

Let the orginal salary = Rs. 100. New's salary = Rs.120.

Decrease on 120 = 20. Decrease on 100 = [(20/120)*100]% = (16 + 2/3) %.

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Q:

In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?

A) 324138	B) 349680
C) 509940	D) None of these

Answer & Explanation Answer: A) 324138

Explanation:

Total Population = 728400

Migrants = 35 % of 728400 = 254940

$\therefore$ local population = (728400 - 254940) = 473460.

Rural migrants = 20% of 254940 = 50988

Urban migrants = (254940 - 50988) = 203952

Female population = 48% of 473460 + 30% of 50988 + 40% of 203952 = 324138

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Q:

If x is 80% of y, then what percent of 2x is y?

A) 65.5 %	B) 64.5 %
C) 63.5 %	D) 62.5 %

Answer & Explanation Answer: D) 62.5 %

Explanation:

x = 80 % of y

=> x =(80/100 )y

=> y/x = 5/4

Required percentage = [(y/2x)*100] % = (5/8*100) % =62.5%

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Q:

In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?

A) 25	B) 50
C) 75	D) 100

Answer & Explanation Answer: C) 75

Explanation:

Let the number of students in the class be 100 and let this required average be x.

Then, (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)

=> 70x = 8000 - (950 + 1800) = 5250

=> x = 75.

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Q:

While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?

A) 8 + 15/17	B) 2 + 13/17
C) 3 + 2/17	D) 5 + 13/12

Answer & Explanation Answer: A) 8 + 15/17

Explanation:

Total sales tax paid = 7% of Rs, 400 + 9% of Rs. 6400

=Rs. (7/100)*400 + (9/100)*6400 = Rs. (28 + 576) = Rs. 604.

Total cost of the items = Rs. (400 + 6400) = Rs. 6800.

Required percentage =(604/6800*100) % = $8 \frac{15}{17}$ %.

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