SSC CGL Percentage Practice Test 27
15 original book-pattern SSC CGL percentage questions on successive change, expenditure, marks, and reverse percentage.
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SSC CGL Percentage Practice Test 27
15 original book-pattern SSC CGL percentage questions on successive change, expenditure, marks, and reverse percentage.
Preview all 15 questions in SSC CGL Percentage Practice Test 27 (no login required)
- Successive Percentage
1. The price of petrol rises by 25%, but a person wants his monthly petrol expense to rise by only 5%. By what percent should he reduce consumption?
- A. 12%
- B. 14%
- C. 16% (Correct)
- D. 18%
Explanation: Let old price and consumption be 100 each. New expense target = 10500. New price = 125, so new consumption = 10500/125 = 84. Reduction = 16%.
- Reverse Percentage
2. After two successive discounts of 10% and 20%, an article is sold for Rs. 1,440. What was the marked price?
- A. Rs. 1,800
- B. Rs. 1,900
- C. Rs. 2,000 (Correct)
- D. Rs. 2,100
Explanation: Net selling factor = 0.9 x 0.8 = 0.72. Marked price = 1440/0.72 = 2000.
- Base Change
3. A is 40% more than B. If B is decreased by 20%, A becomes what percent more than the new value of B?
- A. 65%
- B. 70%
- C. 75% (Correct)
- D. 80%
Explanation: Let B = 100, so A = 140. New B = 80. A is more by 60 on 80, so percent more = 75%.
- Population
4. A town's population increases by 12% in the first year and decreases by 10% in the second year. If the initial population was 50,000, find the final population.
- A. 49,800
- B. 50,400 (Correct)
- C. 50,800
- D. 51,200
Explanation: Final population = 50000 x 1.12 x 0.90 = 50400.
- Marks Percentage
5. A candidate scored 32% marks and failed by 18 marks. If he had scored 38%, he would have passed by 12 marks. Find the maximum marks.
- A. 450
- B. 500 (Correct)
- C. 550
- D. 600
Explanation: Difference between 38% and 32% = 6%, which equals 30 marks. Therefore 100% = 30 x 100/6 = 500.
- Salary
6. A salary is first increased by 20% and then by 25%. The new salary is Rs. 45,000. What was the original salary?
- A. Rs. 28,000
- B. Rs. 30,000 (Correct)
- C. Rs. 32,000
- D. Rs. 36,000
Explanation: Combined multiplier = 1.2 x 1.25 = 1.5. Original salary = 45000/1.5 = 30000.
- Consumption
7. The price of rice decreases by 20%. A family increases its consumption by 25%. What is the net change in expenditure?
- A. No change (Correct)
- B. 4% increase
- C. 5% decrease
- D. 10% increase
Explanation: Expense multiplier = 0.80 x 1.25 = 1, so expenditure is unchanged.
- Mixture Percent
8. A 40 L solution contains 30% acid. How much water should be added to make acid concentration 24%?
- A. 8 L
- B. 10 L (Correct)
- C. 12 L
- D. 15 L
Explanation: Acid = 12 L. For 24% concentration, total solution = 12/0.24 = 50 L. Water added = 10 L.
- Percentage Point
9. In an election, 8% votes were invalid. A winner got 55% of the valid votes and won by 4,600 votes. If there were only two candidates, total votes polled were:
- A. 40,000
- B. 45,000
- C. 50,000 (Correct)
- D. 55,000
Explanation: Winner's lead = 10% of valid votes = 4600, so valid votes = 46000. Since valid votes are 92% of total, total = 46000/0.92 = 50000.
- Successive Loss
10. A number is decreased by 10% and then by 20%. What is the final value if the original number is 500?
- A. 350
- B. 360 (Correct)
- C. 370
- D. 380
Explanation: Final = 500 x 0.9 x 0.8 = 360.
- Equivalent Percentage
11. A is 25% less than B. B is what percent more than A?
- A. 25%
- B. 30%
- C. 33.33% (Correct)
- D. 40%
Explanation: Let B = 100, A = 75. B is more than A by 25/75 x 100 = 33.33%.
- Data Percentage
12. In a school, 45% students are girls. If boys are 660, total students are:
- A. 1,100
- B. 1,200 (Correct)
- C. 1,300
- D. 1,400
Explanation: Boys are 55% of total. Total = 660 x 100/55 = 1200.
- Reverse Change
13. A value is first increased by x% and then decreased by x%. The final value is 96% of the original. Find x.
- A. 10
- B. 15
- C. 20 (Correct)
- D. 25
Explanation: Net factor = 1 - x^2/10000 = 0.96. Hence x^2/100 = 4, so x = 20.
- Expenditure
14. A person spends 35% of income on rent, 25% of the remaining on food and saves Rs. 19,500. Find income.
- A. Rs. 36,000
- B. Rs. 38,000
- C. Rs. 40,000 (Correct)
- D. Rs. 42,000
Explanation: After rent, 65% remains. After food, 75% of 65% = 48.75% remains. Income = 19500/0.4875 = 40000.
- Exam Accuracy
15. In a test, correct answers give 2 marks and wrong answers deduct 0.5 mark. A candidate attempts 80 questions and scores 125 marks. How many answers were correct?
- A. 64
- B. 66 (Correct)
- C. 68
- D. 70
Explanation: Let correct answers be c. Wrong = 80-c. Score = 2c - 0.5(80-c) = 125. Thus 2.5c = 165, so c = 66.