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- Question
- Income of Suman is first increased by 7% and then it is decreased by 7%. What is the change in her income?
Options- A. 0.49% (increase)
- B. 0.39% (decrease)
- C. 0.39% (increase)
- D. 0.49% (decrease)
- Correct Answer
- 0.49% (decrease)
ExplanationIn such case, there is always decrease.
Given that, a = (common increase or decreased) = 7%
According to the formula,
Decreased Percentage = a2/100 %
= 72/100 %
= 0.49% - 1. In a school, 10% of boys are equal to the one - fourth of the girls. What is the ration of boys and girls in that school?
Options- A. 3 : 2
- B. 5 : 2
- C. 2 : 1
- D. 4 : 3 Discuss
- 2. The population of a city is 250000. It is increasing at the rate of 2% every year. The growth in the population after 2 yr is?
Options- A. 2500
- B. 10000
- C. 252000
- D. 10100 Discuss
- 3. The population of a town is 1058400. if it increase at the rate of 5% per annum, then find the population of the town 2 yr ago.
Options- A. 949000
- B. 930000
- C. 960000
- D. 950000 Discuss
- 4. The population of a town is 705600. If it increases at the rate of 5% per annum, then what will be its population 2yr hence?
Options- A. 777924
- B. 777881
- C. 778781
- D. 797724 Discuss
- 5. The population of a town is 126800. It increase by 15% in the 1st year and decrease by 20% in the 2nd year. What is the population of the town at the end of 2 yr.
Options- A. 174984
- B. 135996
- C. 116656
- D. 145820 Discuss
- 6. 48% of the 1st number is 60% of the 2nd number. What is the ratio of the 1st number to the 2 nd number?
Options- A. 4 : 7
- B. 3 : 4
- C. 5 : 4
- D. Could't be determined Discuss
- 7. The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number
Options- A. 360
- B. 1080
- C. 120
- D. 40 Discuss
- 8. In a test, A scored 10% more than B and B scored 5% more than C. If C scored 300 marks out of 400, then A's marks are
Options- A. 310
- B. 325
- C. 350
- D. 360 Discuss
- 9. Mathew scored 42 marks in Biology, 51 marks in Chemistry, 58 marks in Mathematics, 35 marks in Physics and 48 marks English. The maximum marks, a student can score in each subject, are 60. How much overall percentage did Mathew get in this exam?
Options- A. 76%
- B. 82%
- C. 68%
- D. 78% Discuss
- 10. A student was asked to measure the length and breadth of a rectangle. By mistake, he measured the length 20% less and the breath 10% more. if its original area is 200 sq cm, then find the area after this measurement?
Options- A. 176 sq cm
- B. 206 sq cm
- C. 226 sq cm
- D. 316 sq cm Discuss
Percentage problems
Search Results
Correct Answer: 5 : 2
Explanation:
Let the number of boys = B
and number of girls = G
Then, 10% of B = 1/4 of G
? B/10 = G/4
? B/G = 10/4 = 5/2
? B : G = 5 : 2
Correct Answer: 10100
Explanation:
Population after 2 yr
= P (1 + R/100)2
= 250000 (1 + 2/100)2
? 250000 x (51/50) x (51/50) = 260100
? Growth = 260100 - 250000 = 10100
Correct Answer: 960000
Explanation:
Given that,
p = 1058400, R = 5% and n = 2
According the formula,
Population n yr ago = P/(1 + R/100) n
? Population 2yr ago = 1058400/(1+ 5/100)2
= 1058400 x 20/21 x 20/21 = 960000
Correct Answer: 777924
Explanation:
Given that,
P = 705600, R = 5% and n = 2
According to the formula,
Population after n yr = p(1 + R/100)n
? Population after 2 yr.
= 705600 x (1+ 5/100)2
= 705600 x (105/100)2
= 705600 x (21/20 x 21/20) = 777924
Correct Answer: 116656
Explanation:
Given, R = 15% and R2 = 20%
Required population
= P(1 + R1/100) (1 - R2/100)
= 126800(1 + 15/100) (1- 20/100)
= 126800 (1 + 3/20 ) (1- 1/5)
= 126800 x (23/20) x (4/5) = 116656
Correct Answer: 5 : 4
Explanation:
Let 1st number be M and 2nd number be M.
According to the question,
48% of M = 60% N
? (M x 48)/100 = (N x 60)/100
? M/N = (60/100) x (100/48) = 5/4
? M : N = 5 : 4
Correct Answer: 120
Explanation:
Let the positive number be N.
According to the question
N x (15+ 20)% = 126
? N x 35 = 126 x 100
? N = 12600/35 = 360
So, one-third of the number = 360/3 = 120
Correct Answer: 360
Explanation:
B's marks = C's marks + 5% of 400
= 300 + 20 = 320
Now , A's marks = B's marks + 10% of 400
= 320 + 40 = 360
Correct Answer: 78%
Explanation:
Total marks scored by Mathew in all subjests = 42 + 51 + 58 + 35 + 48 = 234
? Maximum marks is 60 in any subject.
? Maximum marks = 60 x 5 = 300
? Percentage of Mathew's marks
= [(Marks obtained / Maximum marks)] x 100
= (234 / 300) x 100
= 234/3 = 78%
Correct Answer: 176 sq cm
Explanation:
Net effect on area = -20 + 10 + [(-20 )(10)/100] %
= (-10 - 2) % = -12%
Now, after this mistake new area = (100 - 12)% of 200
= (88/100) x 200
= 176 sq cm
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