A number is increased by 20% and then decreased by 20%, the final value of the n

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Question
A number is increased by 20% and then decreased by 20%, the final value of the number is ?
Options
A. increase by 2%
B. decrease by 3%
C. decrease by 4%
D. increase by 5%

Correct Answer

decrease by 4%

Explanation

Here, x = 20 and y = - 20
Therefore, the net % change in value
= $x + y + \frac{x y}{100}$ %
= $20 + (- 20) + \frac{20 � - 20}{100}$ % or - 4%

Since the sign is negative, there is a decrease in value by 4%.

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1. The difference between a number and its two-fifth is 510. What is 10% of that number ?
Options
A. 75
B. 85
C. 95
D. 105

3. In a class of 80 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?
Options
A. 1060
B. 960
C. 1020
D. 920

4. The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is :
Options
A. 60
B. 70
C. 80
D. 90

5. If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?
Options
A. 31/25
B. 15/17
C. 14/25
D. 11/16

6. 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 ?
Options
A. 324138
B. 349680
C. 509940
D. None of these

7. A shopkeeper?s earning increases by 25% in first year but decreases by 4% in the next and so on. After 5 years his total earnings would be Rs. 72,000. What is his present earning?
Options
A. Rs. 40,000
B. Rs. 45,000
C. Rs. 42,000
D. Rs. 46,000

8. When the price of rice decrease by 10%, a girl could buy 1 kg more for Rs. 270. Then, the original price of the rice per kg is
Options
A. Rs. 36
B. Rs. 30
C. Rs. 28
D. Rs. 40

9. An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth
Options
A. 300
B. 500
C. 700
D. 900

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