State Exam — Quantitative Aptitude
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Showing 201–210 of 429 questions
Q.201 Easy Numbers
A shopkeeper marks an item 40% above the cost price. If he gives a discount of 15% on the marked price, what is his profit percentage?
A19%
B25%
C15%
D22%
Correct Answer:  A. 19%
Explanation:

Let CP = 100. MP = 140. After 15% discount, SP = 140 × 0.85 = 119. Profit = 19%

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Q.202 Easy Numbers
A train travels 240 km in 4 hours. If its speed is increased by 20%, how much distance will it cover in 5 hours?
A300 km
B320 km
C360 km
D400 km
Correct Answer:  C. 360 km
Explanation:

Original speed = 240/4 = 60 km/h. New speed = 60 × 1.2 = 72 km/h. Distance in 5 hours = 72 × 5 = 360 km

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Q.203 Easy Numbers
A person invests Rs. 5000 at 12% p.a. compound interest for 2 years. What is the final amount?
ARs. 6272
BRs. 6280
CRs. 6300
DRs. 6400
Correct Answer:  B. Rs. 6280
Explanation:

A = P(1 + r/100)^n = 5000(1.12)^2 = 5000 × 1.2544 = 6272

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Q.204 Easy Numbers
The ratio of profit to cost price is 3:5. What is the profit percentage?
A40%
B50%
C60%
D75%
Correct Answer:  C. 60%
Explanation:

If CP = 5, Profit = 3. Profit% = (3/5) × 100 = 60%

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Q.205 Easy Numbers
Simple Interest on Rs. 6000 at 8% p.a. for 2.5 years is?
ARs. 960
BRs. 1000
CRs. 1200
DRs. 1500
Correct Answer:  C. Rs. 1200
Explanation:

SI = (P × R × T)/100 = (6000 × 8 × 2.5)/100 = 1200

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Q.206 Easy Numbers
A number is increased by 20% and then decreased by 20%. What is the net change?
ANo change
B4% decrease
C4% increase
D5% decrease
Correct Answer:  B. 4% decrease
Explanation:

Let number = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net decrease = 4%

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Q.207 Easy Numbers
If 60% of a number equals 180, what is 75% of that number?
A225
B240
C250
D280
Correct Answer:  A. 225
Explanation:

Number = 180/0.6 = 300. 75% of 300 = 225

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Q.208 Easy Numbers
A number is increased by 30%, then decreased by 20%. What is the net percentage change?
A4% increase
B10% increase
C4% decrease
D10% decrease
Correct Answer:  A. 4% increase
Explanation:

Let number = 100. After 30% increase: 130. After 20% decrease: 130 × 0.8 = 104. Net change = 4% increase.

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Q.209 Easy Numbers
A shopkeeper sells an item at Rs. 480 with 20% profit. What is the cost price?
ARs. 350
BRs. 400
CRs. 360
DRs. 420
Correct Answer:  B. Rs. 400
Explanation:

SP = CP × (1 + profit%). 480 = CP × 1.2. CP = 480/1.2 = Rs. 400.

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Q.210 Easy Numbers
A can complete a work in 15 days, B in 20 days. How many days will they take working together?
A6 days
B8 days
C8.57 days
D7.5 days
Correct Answer:  C. 8.57 days
Explanation:

A's work rate = 1/15, B's rate = 1/20. Combined = 1/15 + 1/20 = 7/60. Time = 60/7 ≈ 8.57 days.

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