Correct Answer: B) 240
Explanation:
Let the number be x .
Since 35% of x is 84, we have:
0.35 \times x = 84
x = \frac{84}{0.35} = 240 .
A) 0%
B) 2% increase
C) 5% increase
D) 10% decrease
Correct Answer: B) 2% increase
Explanation:
Let the original number be 100 .
After a 25% increase: 100 \times 1.25 = 125 .
Then, a 20% decrease on 125: 125 \times 0.80 = 100 = 125
A) 20% profit
B) 25% profit
C) 30% profit
D) 40% profit
Correct Answer: A) 20% profit
Explanation:
Let the cost price be 100 .
Marked price with a 50% markup becomes 100 \times 1.50 = 150 .
After offering a 20% discount on the marked price:
150 \times 0.80 = 120 .
Thus, the selling price is 120 , resulting in a profit of:
120 – 100 = 20 , or a 20% profit.
A) 200
B) 240
C) 300
D) 280
Correct Answer: B) 240
Explanation:
Let the number be x .
Since 35% of x is 84, we have:
0.35 \times x = 84
x = \frac{84}{0.35} = 240 .
A) 10.26% increase
B) 12.26% increase
C) 10.26% increase
D) 8.26% increase
Correct Answer: A) 10.26% increase
Explanation:
Let the initial salary be 100 .
After a 10% increase: 100 \times 1.10 = 110
After a 5% decrease: 110 \times 0.95 = 104.5
After an 8% increase: 104.5 \times 1.08 = 112.86
Net percentage change = 112.86 – 100 = 12.86% .
A) 90
B) 100
C) 110
D) 120
Correct Answer: D) 120
Explanation:
If passing marks are 300 and the student scored 180, the difference is:
300 – 180 = 120 .
A) 6.4% increase
B) 5.6% increase
C) 7.1% increase
D) 8.5% increase
Correct Answer: A) 6.4% increase
Explanation:
Let the initial population be 100 .
After a 12% increase: 100 \times 1.12 = 112
After a 5% decrease: 112 \times 0.95 = 106.4
Net change = 106.4 – 100 = 6.4% increase.
A) ₹2,400
B) ₹2,300
C) ₹2,200
D) ₹2,500
Correct Answer: A) ₹2,400
Explanation:
Profit = 12000 \times 0.20 = 2400 .
A) 0
B) 40
C) 60
D) 80
Correct Answer: A) 0
Explanation:
The pass mark required is 40% of 800, which is 0.40 \times 800 = 320 . Since the student scored exactly 320 marks, they passed the exam and did not fail.
A) 10% increase
B) 15% increase
C) 20% increase
D) 30% increase
Correct Answer: C) 20% increase
Explanation:
Let the original price be 100 .
After a 50% increase: 100 \times 1.50 = 150
Then a 30% decrease: 150 \times 0.70 = 105
Then a 20% increase: 105 \times 1.20 = 126
Net percentage change = 126 – 100 = 26% increase.
A) 320
B) 360
C) 280
D) 300
Correct Answer: B) 360
Explanation:
Let the number be x .
0.70x = 210 , so x = \frac{210}{0.70} = 300 .
Then, 120% of the number is 1.20 \times 300 = 360 .
A) 10% decrease
B) 5% decrease
C) 5% increase
D) 12% increase
Correct Answer: B) 5% decrease
Explanation:
Let the original number be 100 .
After a 15% decrease: 100 \times 0.85 = 85
Then a 25% increase: 85 \times 1.25 = 106.25
Then a 20% decrease: 106.25 \times 0.80 = 85
Net percentage change = 85 – 100 = -5% decrease.
A) 160
B) 180
C) 200
D) 210
Correct Answer: C) 200
Explanation:
Let the total marks be x .
0.40x = 80 , so x = \frac{80}{0.40} = 200 .
A) 8% increase
B) 10% increase
C) 5% increase
D) 2% decrease
Correct Answer: A) 8% increase
Explanation:
Let the original salary be 100 .
After a 20% increase: 100 \times 1.20 = 120
Then a 10% decrease: 120 \times 0.90 = 108
Net percentage change = 108 – 100 = 8% increase.
A) 5 kg
B) 8 kg
C) 10 kg
D) 12 kg
Correct Answer: C) 10 kg
Explanation:
With a 20% price increase, the new price per kg is 1.20 times the old price.
New quantity = \frac{50}{1.20} = 41.67 kg.
The reduction in quantity = 50 – 41.67 = 8.33 , approximately 10 kg.
A) 32,768
B) 30,500
C) 31,104
D) 33,000
Correct Answer: C) 31,104
Explanation:
Population after 3 years = 40000 \times (1 – 0.08)^3 = 31,104 .
A) 5% loss
B) 10% profit
C) 10% loss
D) 5% profit
Correct Answer: D) 5% profit
Explanation:
Let the cost price be 100 .
Marked price = 100 \times 1.40 = 140
After a 25% discount: 140 \times 0.75 = 105
Profit percentage = 105 – 100 = 5% .
A) 600
B) 750
C) 700
D) 800
Correct Answer: B) 750
Explanation:
Let the number be x .
0.20x = 150 , so x = \frac{150}{0.20} = 750 .
A) 5% increase
B) 2% decrease
C) 2% increase
D) 5% decrease
Correct Answer: C) 2% increase
Explanation:
Let the original number be 100 .
After a 40% increase: 100 \times 1.40 = 140
Then a 30% decrease: 140 \times 0.70 = 98
Net percentage change = 98 – 100 = -2% decrease.
A) 4.5% increase
B) 3.5% increase
C) 5% increase
D) 2% increase
Correct Answer: A) 4.5% increase
Explanation:
Let the original price be 100 .
After a 15% increase: 100 \times 1.15 = 115
After a 10% discount: 115 \times 0.90 = 103.5
Net percentage change = 103.5 – 100 = 3.5% increase.
A) 400
B) 450
C) 500
D) 475
Correct Answer: B) 450
Explanation:
Let the number be x .
If 30% of the number is subtracted, we have: x – 0.30x = 315
0.70x = 315
x = \frac{315}{0.70} = 450 .
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