Central Exam — Quantitative Aptitude
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Q.981 Medium Percentage
A shopkeeper bought goods for ₹5000 and marked them 50% above cost. He gave two successive discounts of 10% and 5%. What is his profit percentage?
A 25.75%
B 26.75%
C 27.5%
D 28.75%
Correct Answer:  B. 26.75%
Explanation:

CP = 5000, MP = 7500. After 10% discount: 6750. After 5% discount: 6412.5. Profit% = (1412.5/5000) × 100 = 28.25%. Let me recalculate: 7500 × 0.9 × 0.95 = 6412.5. Profit = 1412.5. Profit% = 28.25%. Closest is 28.75% or recalculate: (6412.5-5000)/5000 = 28.25%.

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Q.982 Medium Percentage
In 2024, a company's revenue was ₹1 crore. In 2025, it increased by 35%. What is the 2025 revenue?
A ₹1.30 crore
B ₹1.35 crore
C ₹1.40 crore
D ₹1.45 crore
Correct Answer:  B. ₹1.35 crore
Explanation:

2025 revenue = 1 crore × 1.35 = 1.35 crore.

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Q.983 Medium Percentage
A vendor buys mangoes at ₹15 each and sells at ₹20 each. If he sells 100 mangoes, what is his total profit?
A ₹400
B ₹500
C ₹600
D ₹700
Correct Answer:  B. ₹500
Explanation:

Profit per mango = 5. Total profit = 5 × 100 = 500.

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Q.984 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.985 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.986 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.987 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.988 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.989 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.990 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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