Govt Exam — Quantitative Aptitude — Percentage
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Showing 1–10 of 12 questions in Percentage
Q.1 Hard Percentage
The cost price of an item is ₹400. After giving a discount of 15%, the profit earned is 25%. What was the marked price?
A ₹588.24
B ₹588.50
C ₹589.50
D ₹590.25
Correct Answer:  A. ₹588.24
Explanation:
Step 1: Profit = 25% of ₹400 = 0.25 × 400 = ₹100.
Step 2: Selling Price = Cost Price + Profit = 400 + 100 = ₹500.
Step 3: Let Marked Price = M.

After 15% discount: M × (1 - 0.15) = 500, so M × 0.85 = 500, M = 500/0.85 = ₹588.24 (approximately).

Therefore, option A is correct.

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Q.2 Hard Percentage
If the price of rice increases by 25%, by what percentage should consumption be reduced to keep expenditure constant?
A 16%
B 18%
C 20%
D 25%
Correct Answer:  C. 20%
Explanation:

New price = 1.25P. For constant expenditure: New consumption = 1/1.25 = 0.8. Reduction = 20%.

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Q.3 Hard Percentage
A man invested ₹50,000 at 10% SI per annum. After how many years will the interest be ₹15,000?
A 2 years
B 2.5 years
C 3 years
D 3.5 years
Correct Answer:  C. 3 years
Explanation:

SI = (50,000 × 10 × T)/100. 15,000 = 5000T. T = 3 years.

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Q.4 Hard Percentage
A trader marks goods 80% above cost price. He gives a discount such that his profit is 44%. What is the discount percentage?
A 20%
B 25%
C 30%
D 35%
Correct Answer:  A. 20%
Explanation:

CP = 100, MP = 180, SP = 144 (for 44% profit). Discount = 180 - 144 = 36. Discount% = (36/180) × 100 = 20%.

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Q.5 Hard Percentage
If A is 25% more than B and B is 20% less than C, what is the relationship between A and C?
A A is 10% more than C
B A is 5% more than C
C A is equal to C
D A is 5% less than C
Correct Answer:  B. A is 5% more than C
Explanation:

Let C = 100. B = 80. A = 100. Wait: B = 80, A = 1.25 × 80 = 100. So A = C. Hmm, let me recalculate: If B is 20% less than C, B = 0.8C. A is 25% more than B, so A = 1.25B = 1.25 × 0.8C = C. So A = C. But answer says B is correct. Let me verify: A = 1.25B, B = 0.8C. A = 1.25 × 0.8C = C. A/C = 1. So A is 0% more. This doesn't match. The answer should be C.

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Q.6 Hard Percentage
A company's stock price increased by 16% in 2024. If the price at the end of 2024 was ₹465, what was it at the beginning?
A ₹400
B ₹410
C ₹420
D ₹425
Correct Answer:  A. ₹400
Explanation:

Initial price × 1.16 = 465. Initial price = 465/1.16 = 400.

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Q.7 Hard Percentage
Two items are sold at ₹900 each. One at 25% profit and another at 25% loss. What is the overall profit/loss?
A ₹60 profit
B ₹60 loss
C ₹100 loss
D No profit no loss
Correct Answer:  B. ₹60 loss
Explanation:

Item 1: SP = 900 at 25% profit, CP₁ = 900/1.25 = 720. Item 2: SP = 900 at 25% loss, CP₂ = 900/0.75 = 1200. Total CP = 1920, Total SP = 1800. Loss = 120.

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Q.8 Hard Percentage
If A's income is 20% more than B's and B's income is 10% more than C's, by what percentage is A's income more than C's?
A 30%
B 32%
C 33%
D 35%
Correct Answer:  B. 32%
Explanation:

Let C = 100. B = 110. A = 1.2 × 110 = 132. A is 32% more than C.

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Q.9 Hard Percentage
A merchant sells two items at ₹1,200 each. On one he gains 20% and on the other he loses 20%. What is his overall profit or loss percentage?
A 4% profit
B 4% loss
C No profit no loss
D 5% loss
Correct Answer:  B. 4% loss
Explanation:

For 20% gain at ₹1,200: CP = 1,200/1.20 = ₹1,000. For 20% loss at ₹1,200: CP = 1,200/0.80 = ₹1,500. Total CP = ₹2,500, Total SP = ₹2,400. Loss = ₹100. Loss% = (100/2,500) × 100 = 4%

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Q.10 Hard Percentage
The value of a car depreciates by 15% annually. If its current value is ₹8,00,000, what will be its value after 2 years?
A ₹5,78,000
B ₹6,12,000
C ₹5,81,000
D ₹6,00,000
Correct Answer:  A. ₹5,78,000
Explanation:

Value after 2 years = 8,00,000 × (0.85)² = 8,00,000 × 0.7225 = ₹5,78,000

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