Correct Answer: B) ₹30,000
Explanation:
If 25% of income is saved, then let income be x .
0.25x = 7500
x = \frac{7500}{0.25} = 30000 .
A) 5% increase
B) 2% increase
C) 3% decrease
D) 1% increase
Correct Answer: B) 2% increase
Explanation:
Let the initial salary be 100 .
After a 20% increase: 100 \times 1.20 = 120
After a 15% decrease: 120 \times 0.85 = 102
Net percentage change = 102 – 100 = 2% increase.
A) 79,860
B) 80,760
C) 79,260
D) 81,060
Correct Answer: A) 79,860
Explanation:
Population after 3 years = 60000 \times (1.10)^3
= 60000 \times 1.331 = 79,860 .
A) ₹25,000
B) ₹30,000
C) ₹35,000
D) ₹40,000
Correct Answer: B) ₹30,000
Explanation:
If 25% of income is saved, then let income be x .
0.25x = 7500
x = \frac{7500}{0.25} = 30000 .
A) 15.78% increase
B) 17.56% increase
C) 18.78% increase
D) 19.56% increase
Correct Answer: D) 19.56% increase
Explanation:
Let the original number be 100 .
After a 12% increase: 100 \times 1.12 = 112
After an 8% decrease: 112 \times 0.92 = 103.04
After a 15% increase: 103.04 \times 1.15 = 118.56
Net change = 118.56 – 100 = 18.56% increase.
A) 1,32,600
B) 1,32,480
C) 1,40,000
D) 1,33,200
Correct Answer: A) 1,32,600
Explanation:
Population after 2 years = 150000 \times (1 – 0.06)^2
= 150000 \times 0.8836 = 132600 .
A) 6.25% increase
B) 7.5% increase
C) 8.5% increase
D) 10% increase
Correct Answer: A) 6.25% increase
Explanation:
Let the initial salary be 100 .
After a 25% increase: 100 \times 1.25 = 125
Then, a 15% decrease: 125 \times 0.85 = 106.25
Net percentage change = 106.25 – 100 = 6.25% increase.
A) 5% decrease
B) 10% decrease
C) 12% decrease
D) 15% decrease
Correct Answer: A) 5% decrease
Explanation:
Let the initial cost be 100 .
After a 20% increase: 100 \times 1.20 = 120
Then, a 25% decrease: 120 \times 0.75 = 90
Net percentage change = 90 – 100 = -10% decrease.
A) 20%
B) 50%
C) 45%
D) 55%
Correct Answer: B) 50%
Explanation:
Let initial income be 100 , so initial savings = 40 .
If income increases by 30%, new income = 100 \times 1.30 = 130 .
If expenditure increases by 20%, new expenditure = 60 \times 1.20 = 72 .
New savings = 130 – 72 = 58 .
Percentage increase in savings = \frac{58 – 40}{40} \times 100 = 45% .
A) 5% increase
B) 8% increase
C) 2% decrease
D) 10% increase
Correct Answer: C) 2% decrease
Explanation:
Let the initial price 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% .
A) 800
B) 1100
C) 900
D) 700
Correct Answer: A) 800
Explanation:
Let the number be x .
Since 25% of x is 125, we have:
0.25x = 125
x = \frac{125}{0.25} = 500
Then, 200% of x = 500 \times 2 = 800 .
A) 150
B) 160
C) 140
D) 170
Correct Answer: A) 150
Explanation:
Let the total marks be x .
Since 50% of x is 75:
0.50x = 75
x = \frac{75}{0.50} = 150 .
A) 8% increase
B) 7% decrease
C) 5% decrease
D) 2% decrease
Correct Answer: C) 5% decrease
Explanation:
Let the original price be 100 .
After a 15% increase: 100 \times 1.15 = 115
After a 20% decrease: 115 \times 0.80 = 92
Net percentage change = 92 – 100 = -8% .
A) 97,375
B) 97,175
C) 97,345
D) 97,850
Correct Answer: B) 97,175
Explanation:
Population after 2 years = 85000 \times (1.07)^2
= 85000 \times 1.1449 = 97175 .
A) 450
B) 400
C) 500
D) 550
Correct Answer: A) 450
Explanation:
Let the number be x .
Since 60% of x is 300, we have:
0.60x = 300
x = \frac{300}{0.60} = 500
Then, 90% of x = 500 \times 0.90 = 450 .
A) ₹4,72,000
B) ₹5,48,000
C) ₹6,28,000
D) ₹6,48,000
Correct Answer: D) ₹6,48,000
Explanation:
Value after 2 years = 800000 \times (1 – 0.10)^2
= 800000 \times 0.81 = 648000 .
A) 400
B) 500
C) 700
D) 300
Correct Answer: A) 400
Explanation:
Let the total marks be x .
If the pass mark is 40%, then 35% of total marks is 30 marks less than 40%:
0.40x – 0.35x = 30
x = \frac{30}{0.05} = 400 .
A) 12% increase
B) 13% increase
C) 15% increase
D) 16% increase
Correct Answer: C) 15% increase
Explanation: Assume the initial price is ₹100.
First Increase (25%)
New price = 100 + \left( \frac{25}{100} \times 100 \right) = 125
Second Decrease (20%)
New price = 125 – \left( \frac{20}{100} \times 125 \right) = 100
Third Increase (15%)
New price = 100 + \left( \frac{15}{100} \times 100 \right) = 115
Net Percentage Change
\text{Net Percentage Change} = \frac{115 – 100}{100} \times 100 = 15%Thus, the net percentage change is 15% increase.
A) 200
B) 300
C) 320
D) 400
Correct Answer: D) 400
Explanation:
Let the number be x .
If 50% of x is subtracted from itself, the result is x – 0.50x = 160 .
This simplifies to 0.50x = 160 .
Therefore, x = \frac{160}{0.50} = 400 .
A) 0%
B) 12.5% increase
C) 15% decrease
D) 25% increase
Correct Answer: A) 0%
Explanation:
Let the original expenditure be 100 .
After a 50% price hike, the expenditure would be 100 \times 1.50 = 150 .
If the person reduces his expenditure by 25%, the new expenditure is 150 \times 0.75 = 112.5.
A) 675
B) 700
C) 725
D) 750
Correct Answer: A) 675
Explanation:
Let the number be x .
Since 15% of x is 135, we have:
0.15x = 135
Solving for x :
x = \frac{135}{0.15} = 900
Now, 75% of x is:
0.75 \times 900 = 675 .
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