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- Question
- In vocational course in a college 15% seats increase annually. If there were 800 students in 1992, how many student will be there in 1994?
Options- A. 920
- B. 1040
- C. 1058
- D. 1178
- Correct Answer
- 1058
ExplanationRequired number = 800 x (1 + 15/100)2
= 800 x (23/20) x (23/20)
= 1058 - 1. The price of coffee is increased by 15% and a house wife reduced her consumption of coffee by 15% and hence her expenditure on coffee?
Options- A. Remains unchanged
- B. Increased by 4%
- C. Decreased by 4%
- D. Decreased by 2.25% Discuss
- 2. The length of a rectangle is increased by 60%. By what per cent would the width have to be decreased to maintain the same area?
Options- A. 371/2%
- B. 60%
- C. 75%
- D. None of these Discuss
- 3. The length and breadth of square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by?
Options- A. 20%
- B. 36%
- C. 50%
- D. 56% Discuss
- 4. The radius of circle is increased by 1%. What is the increased percent in its area?
Options- A. 1%
- B. 1.1 %
- C. 2%
- D. 2.01 % Discuss
- 5. If the side of a square is increased by 30%, its area is increased by?
Options- A. 9%
- B. 30%
- C. 60%
- D. 69% Discuss
- 6. A reduction of 21% in the price of wheat enables a person to buy 10.5 kg more for Rs. 100. What is the reduced price per kg?
Options- A. Rs. 2
- B. Rs. 2.25
- C. Rs. 30
- D. Rs. 2.50 Discuss
- 7. For a sphere of radius 10 cms. the numerical value of the surface area is how many per cent of the numerical value of its volume?
Options- A. 24%
- B. 26.5%
- C. 30%
- D. 45% Discuss
- 8. 5% income of A is equal to 15% income of B and 10% income of B is equal to 20% income of C. If income of C is Rs.2000, then total income of A, B and C is?
Options- A. Rs. 6000
- B. Rs. 18000
- C. Rs. 20000
- D. Rs. 14000 Discuss
- 9. A city has a population of 300000 out of which 180000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is
Options- A. 24000
- B. 30000
- C. 54000
- D. 60000 Discuss
- 10. If the price of mangoes is decreased by 40%, one could get 32 more mangoes for ? 120. Find the original price of each mango.
Options- A. ? 3.50
- B. ? 2.50
- C. ? 2.25
- D. ? 2.00 Discuss
Percentage problems
Search Results
Correct Answer: Decreased by 2.25%
Explanation:
Consumption Decreases = (common %)2/100
= 225/100
= 2.25%.
Correct Answer: 371/2%
Explanation:
Let length of a rectangle = 100 m,
Breadth = 100 m
New length = 160 m,
New breadth = B meters
Then, 160 x B = 100 x 100
? B = (100 x 100) / 160 = 125/2
Decrease in breadth = (100 - 125/2)% = 371/2%
Correct Answer: 56%
Explanation:
Let length of square = 100 m and breadth of square = 100 m
Area = (100 x 100) m2 = 10000 m2
New length = 130 m and breadth = 120 m
New area of rectangle = (130 x 120) m2 = 15600 m2
Increase % = (5600 / 10000) x 100 % = 56%
Correct Answer: 2.01 %
Explanation:
Let radius of circle = 100 m
New radius = 101 m
original area = [? x (100)2 ]m2
New area = [? x (101)2 ]m2
Increase% = [? x {(101)2 - (100)2} / { ? x (100)2} ] x 100 %
= 201 / 100% = 2.01%
Correct Answer: 69%
Explanation:
Let side of square = 100 cm
Area = (100 x 100)cm2 = 10000 cm2
New area = (130 x 130)cm2 = 16900 cm2
Increase in area = (6900 / 10000) x 100% = 69%
Correct Answer: Rs. 2
Explanation:
Let original rate = Rs. P per kg
New rate = 79% of Rs. P per kg
= Rs. (79 x P)/100) per kg
? {(100/79P)/100} - {100/P} = 10.5
? 10000/79P - 100/P = 10.5
? 10000 - 7900 = 10.5 x 79P
? P = 2100/(10.5 x 79)
? P = 2100/(10.5 x 79)
Reduced rate = Rs. (79/100) x 2100/(10.5 x 79) per kg = Rs. 2 per kg.
Correct Answer: 30%
Explanation:
Surface area sphere = 4? x (10)2
volume sphere=4?/3 x (10)3
= (4000?/3) cm3
? Required percentage = {(400? x 3) / (4000?)} x 100 %
= 30%
Correct Answer: Rs. 18000
Explanation:
? 5% of A=15% of B and 10% of B = 20% of C
? A/20 = 3B/20 and B/10 = C/5
? B = 2C
? A/20 = (3/20) x 2C = 3C/10 =(3/10) x 2000 = 600
? A = (600 x 20) = 12000,
B = (2 x 2000) = 4000
? A + B + C = (12000 + 4000 + 2000) = 18000
Correct Answer: 24000
Explanation:
Total population = 300000
Total number of males = 180000
Total Literates = 50% of total population = 150000
Number of literate males = 70% of males = 126000
? Number of literate females = 150000 - 126000 = 24000
Correct Answer: ? 2.50
Explanation:
Let the original price be ? N per kg.
New price per kg = 60% of N = 3N/5
? 120 / (3N/5) - 120/N = 32
? 600/3N - 120/N = 32
? 200/N - 120/N = 32
? 80/N = 32
? N = 80/32 = 2.5
So, the original price is ? 2.50
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