Correct Answer: A) 3.5% increase
Explanation:
Let the original price be 100 .
After a 15% increase: 100 \times 1.15 = 115
After a 10% decrease on 115: 115 \times 0.90 = 103.5
Net change = 3.5% increase.
A) 91%
B) 84%
C) 78%
D) 70%
Correct Answer: C) 78%
Explanation:
Let C’s salary be 100 . Then B’s salary is 140 (40% more).
A’s salary is 30% less than B’s: 140 \times 0.70 = 98 .
Thus, A’s salary is 78% of C’s salary.
A) 2,42,000
B) 2,46,200
C) 2,66,200
D) 2,68,000
Correct Answer: B) 2,66,200
Explanation:
Population after 3 years = 200,000 \times (1.10)^3 = 2,66,200
A) 3.5% increase
B) 3.5% decrease
C) 5% increase
D) 4.5% decrease
Correct Answer: A) 3.5% increase
Explanation:
Let the original price be 100 .
After a 15% increase: 100 \times 1.15 = 115
After a 10% decrease on 115: 115 \times 0.90 = 103.5
Net change = 3.5% increase.
A) 30%
B) 40%
C) 50%
D) 60%
Correct Answer: C) 50%
Explanation:
If he initially spends 60%, he saves 40%. Let income be 100 .
After a 25% income increase: 100 \times 1.25 = 125 .
Expenditure becomes 60 \times 1.15 = 69 .
New savings = 125 – 69 = 56 , which is a 50% increase.
A) 2% profit
B) 3% profit
C) 5% profit
D) 2% loss
Correct Answer: B) 3% profit
Explanation:
Let cost price be 100 .
Marked price = 120 . After a 15% discount: 120 \times 0.85 = 102 .
Net profit = 102 – 100 = 3%
A) 82.71
B) 83.31
C) 84.31
D) 85.71
Correct Answer: D) 85.71
Explanation:
Let the number be x .
Then, 0.30x + 60 = x
x = \frac{60}{0.70} = 85.71
A) 2.6% increase
B) 3.4% increase
C) 4.1% increase
D) 2.9% increase
Correct Answer: A) 2.6% increase
Explanation:
Let initial population be 100 .
After an 8% increase: 100 \times 1.08 = 108
Then, a 5% decrease on 108: 108 \times 0.95 = 102.6
Net change = 2.6% increase.
A) 60.5 kg
B) 62.5 kg
C) 65.5 kg
D) 75 kg
Correct Answer: B) 62.5 kg
Explanation:
With a 20% decrease, the new price per kg is 0.80 \times \text{old price} .
If ₹1,600 buys 50 kg at the old price, at the new price it buys 50 \times \frac{100}{80} = 62.5 kg.
A) 1.8% increase
B) 2.2% decrease
C) 3% increase
D) 1% decrease
Correct Answer: A) 1.8% increase
Explanation:
Let the original salary be 100 .
After a 12% increase: 100 \times 1.12 = 112
Then a 10% decrease on 112: 112 \times 0.90 = 100.8
Net change = 1.8% increase.
A) 20% increase
B) 30% increase
C) 40% increase
D) 10% increase
Correct Answer: B) 30% increase
Explanation:
Let the original number be 100 .
After a 50% increase: 100 \times 1.50 = 150
Then, a 20% decrease on 150: 150 \times 0.80 = 120
Net change = 30% increase.
A) 400
B) 450
C) 500
D) 550
Correct Answer: C) 500
Explanation:
Let the number be x .
Then, x – 0.25x = 450
0.75x = 450 \Rightarrow x = \frac{450}{0.75} = 600
A) 8% increase
B) 10% increase
C) 8% decrease
D) 5% increase
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 on 120: 120 \times 0.90 = 108
Net change = 8% increase.
A) 500
B) 600
C) 700
D) 800
Correct Answer: B) 500
Explanation:
Let the total number of students be x .
Since 60% are boys: 0.60x = 300 \Rightarrow x = \frac{300}{0.60} = 500
A) 10% increase
B) 12% increase
C) 8% increase
D) 15% increase
Correct Answer: B) 12% increase
Explanation:
Let the original price be 100 .
After a 35% increase: 100 \times 1.35 = 135
Then, a 20% decrease on 135: 135 \times 0.80 = 108
Net change = 8% increase.
A) 90
B) 100
C) 110
D) 120
Correct Answer: D) 120
Explanation:
Let the number be x .
Then, 0.45x = 54
x = \frac{54}{0.45} = 120
A) ₹20,000
B) ₹22,500
C) ₹25,000
D) ₹30,000
Correct Answer: C) ₹25,000
Explanation:
If 65% is spent, then 35% is saved. Let the income be x .
0.35x = 8750
x = \frac{8750}{0.35} = 25000
A) 23%
B) 25%
C) 30%
D) 27%
Correct Answer: A) 23%
Explanation:
Let B be 100 . Then A is 130 .
Difference = 130 – 100 = 30
Percentage decrease for B compared to A = \frac{30}{130} \times 100 = 23%
A) 5% increase
B) 12.5% decrease
C) 7.5% increase
D) 8% decrease
Correct Answer: B) 12.5% decrease
Explanation:
Let initial expenditure be 100 . After a 50% price increase, price is 150 .
With a 25% reduction in quantity, new expenditure = 150 \times 0.75 = 112.5
Net change = 12.5% decrease.
A) 200
B) 250
C) 300
D) 350
Correct Answer: B) 300
Explanation:
Let the total marks be x .
If the pass mark is 70%, then 65% of total marks is 15 marks less than 70%:
0.70x – 0.65x = 15
x = \frac{15}{0.05} = 300
A) 97,204
B) 97,840
C) 96,500
D) 98,200
Correct Answer: A) 97,204
Explanation:
Future population after 4 years = 80000 \times (1.05)^4
= 80000 \times 1.21550625 = 97,204
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