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Quant – Percentage – Set 7
Read the following instructions carefully
- The test contains 10 questions.
- Each question has 4 options, of which only one is correct.
- You have to finish the test in 8 minutes.
- You are awarded 1 mark for each correct answer, and 0.25 marks are deducted for each wrong answer.
- There is no negative marking for questions you do not attempt.
- You may pause the test at any time and resume where you left off.
- Your marks, the correct answers and an explanation for every question are shown as soon as you submit.
- You can take this test as many times as you like. A fresh set is drawn each time you reload the page.
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Review this set's questions and answers (opens after you submit the test)
This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.
- If the numerator of a fraction is increased by 20% and the denominator is decreased by 5%, the value of the new fraction becomes 5/2. The original fraction is:
- A. 19/24
- B. 24/19
- C. 48/95
- D. 95/48
Show answer and explanation
Answer: D. 95/48
(1.2 N) / (0.95 D) = 5/2, so N/D = (5/2) × (0.95/1.2) = 95/48.
- A number is first decreased by 10% and then increased by 10%. The number so obtained is 50 less than the original number. The original number is :
- A. 5000
- B. 5500
- C. 5900
- D. 5050
Show answer and explanation
Answer: A. 5000
Number × 0.9 × 1.1 = 0.99 × number. The 1% shortfall = 50, so the number = 5000.
- The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs.837. The reduced price per kg of sugar is:
- A. ₹13.50
- B. ₹13.00
- C. ₹12.50
- D. ₹14.00
Show answer and explanation
Answer: A. ₹13.50
Spending Rs 837 at old price P buys 837/P kg; at 0.9P it buys 930/P kg. The extra 93/P = 6.2, so P = Rs 15 and the reduced price = Rs 13.50.
- The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The price of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by:
- A. 14 1/8 %
- B. None of these
- C. 7 1/8 %
- D. 28 1/8 %
Show answer and explanation
Answer: D. 28 1/8 %
Expenses 12 : 17 : 3 (total 32). Rise = 12 × 20% + 17 × 30% + 3 × 50% = 2.4 + 5.1 + 1.5 = 9. So 9/32 = 28 1/8%.
- The bus fare and train fare of a place from Kolkata were Rs.20 and Rs.30 respectively. Train fare has been increased by 20% and the bus fare has been increased by 10%. The ratio of new train fare to new bus fare is:
- A. 3:5
- B. 18:11
- C. 11:18
- D. 5:3
Show answer and explanation
Answer: B. 18:11
New train fare = 30 × 1.2 = 36. New bus fare = 20 × 1.1 = 22. Ratio = 36 : 22 = 18 : 11.
- The difference of two numbers is 15% of their sum. the ratio of the larger number to the smaller number is:
- A. 23:17
- B. 11:9
- C. 23:11
- D. 17:11
Show answer and explanation
Answer: A. 23:17
a - b = 0.15(a + b) gives 0.85a = 1.15b, so a : b = 115 : 85 = 23 : 17.
- 1 litre of water is added to 5 litres of alcohol - water solution containing 40% alcohol strength. The strength of alcohol in the new solution will be:
- A. 33%
- B. 33 2/3 %
- C. 33 1/3 %
- D. 30%
Show answer and explanation
Answer: C. 33 1/3 %
Alcohol = 40% of 5 L = 2 L. After adding 1 L water the total is 6 L, so strength = 2/6 = 33 1/3%.
- 200 litres of a mixture contains 15% water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5% milk is:
- A. 40 litres
- B. 35 litres
- C. 45 litres
- D. 30 litres
Show answer and explanation
Answer: A. 40 litres
Milk = 85% of 200 = 170 L. Let x L of milk be added: 170 + x = 0.875 (200 + x). So 0.125x = 5 and x = 40 L.
- The price of a certain item is increased by 15%. If a consumer wants to keep his expenditure on the item the same as before, how much per cent must he reduce his consumption of that item ?
- A. 13 1/23 %
- B. 10 20/23 %
- C. 15%
- D. 16 2/3 %
Show answer and explanation
Answer: A. 13 1/23 %
Reduction = 15/115 = 3/23 = 13 1/23%.
- If the income tax is increased by 19%, the net income is reduced by 1%. The rate of income tax is:
- A. 5%
- B. 6%
- C. 4%
- D. 7.2%
Show answer and explanation
Answer: A. 5%
Let the income be 100 and the tax rate t%. After the 19% rise in tax, 100 - 1.19t = 0.99 (100 - t). So 0.2t = 1 and t = 5%.
