Correct Answer: C) 25%
Explanation:
If 75% is spent, then 25% is saved. After a 20% salary increase, the expenditure should increase by \frac{20% \text{ of } 75%}{75%} \times 100 = 25% to keep savings the same.
A) 30%
B) 40%
C) 50%
D) 60%
Correct Answer: B) 40%
Explanation:
Since A received 60%, B must have received the remaining percentage:
100% – 60% = 40%
A) 20%
B) 25%
C) 30%
D) 33.33%
Correct Answer: A) 20%
Explanation:
Let the original price be 100 . After a 25% increase, the price becomes 125 . To reduce it back to 100 , calculate the percentage decrease needed:
\frac{125 – 100}{125} \times 100 = 20%
A) 15%
B) 20%
C) 25%
D) 10%
Correct Answer: C) 25%
Explanation:
If 75% is spent, then 25% is saved. After a 20% salary increase, the expenditure should increase by \frac{20% \text{ of } 75%}{75%} \times 100 = 25% to keep savings the same.
A) 20%
B) 25%
C) 30%
D) 15%
Correct Answer: B) 25%
Explanation:
Let B = 100 . Then A = 80 .
The increase from 80 to 100 is \frac{100 – 80}{80} \times 100 = 25% .
A) 10% decrease
B) 12% increase
C) 20% increase
D) 2% decrease
Correct Answer: B) 12% increase
Explanation:
Let the original revenue be 100 . After a 30% reduction, price becomes 70 . A 40% increase in sales means the revenue is 70 \times 1.40 = 98 , resulting in a 12% increase.
A) ₹65,000
B) ₹66,550
C) ₹70,000
D) ₹73,205
Correct Answer: D) ₹73,205
Explanation:
Income after 3 years = 50,000 \times (1.10)^3 = 73,205
A) 5%
B) 10%
C) 15%
D) 20%
Correct Answer: A) 5%
Explanation:
Let C = 100 . Then, B = 80 (20% less).
A’s salary = 80 \times 1.25 = 100 .
Thus, A’s salary is 5% more than C’s.
A) 12.1% decrease
B) 12.1% increase
C) 10% increase
D) 15% increase
Correct Answer: B) 12.1% increase
Explanation:
Let the original number be 100 . After increases and decreases, final value = 112.1 , resulting in a net 12.1% increase.
A) 400
B) 500
C) 600
D) 800
Correct Answer: B) 500
Explanation:
Let the total number be x .
0.40x = 240
x = 600
A) 12 kg
B) 15 kg
C) 18 kg
D) 20 kg
Correct Answer: A) 12 kg
Explanation:
If the price decreases by 20%, then we can buy more sugar with ₹600. The new price is 80% of the original. Therefore,
New quantity = 10 , \text{kg} \times \frac{100}{80} = 12 , \text{kg}
A) ₹36,000
B) ₹38,000
C) ₹40,000
D) ₹42,000
Correct Answer: C) ₹36,000
Explanation:
If A’s income is 25% less than B’s, we calculate A’s income as:
48000 \times (1 – \frac{25}{100}) = 48000 \times 0.75 = 36000
A) 20%
B) 30%
C) 40%
D) 50%
Correct Answer: C) 40%
Explanation:
Since A and B share ₹2,000 in a 3:2 ratio, B’s share is:
\frac{2}{5} \times 2000 = 800
Percentage of the total for B = \frac{800}{2000} \times 100 = 40%
A) 12% increase
B) 15% increase
C) 10% decrease
D) 20% increase
Correct Answer: A) 12% increase
Explanation:
Let the original number be 100.
After a 40% increase: 100 \times 1.40 = 140
Then, a 20% decrease on 140: 140 \times 0.80 = 112
Final percentage change = 112 – 100 = 12% increase.
A) 2.3% increase
B) 5.5% decrease
C) 4.5% decrease
D) 3.5% increase
Correct Answer: D) 3.5% increase
Explanation:
Let the initial workforce be 100.
After a 15% increase: 100 \times 1.15 = 115
Then, a 10% decrease on 115: 115 \times 0.90 = 103.5
Net change = 3.5% increase.
A) 20 liters
B) 30 liters
C) 40 liters
D) 50 liters
Correct Answer: C) 40 liters
Explanation:
Let the original quantity of milk be x liters.
Since milk is 60%, water is 40%, so the original amount of water is 0.4x .
With an additional 20 liters, water concentration becomes 50%, hence:
x + 20 = 2x
A) 5% increase
B) 5% decrease
C) 10% increase
D) 10% decrease
Correct Answer: A) 5% increase
Explanation:
Let the original price be 100 . After a 25% increase, the price becomes 125 .
Then, after a 20% decrease on 125: 125 \times 0.80 = 100
The net change in price is a 5% increase.
A) 70%
B) 75%
C) 77.5%
D) 80%
Correct Answer: C) 77.5%
Explanation:
Total marks obtained = 70 + 80 = 150 out of 200.
Percentage of total marks = \frac{150}{200} \times 100 = 77.5%
A) 1,001
B) 1,071
C) 1,101
D) 1,121
Correct Answer: C) 1,101
Explanation:
Future student population after 3 years = 800 \times (1.12)^3
= 800 \times 1.404928 = 1,101
A) 15% increase
B) 18.5% increase
C) 20% increase
D) 22.5% increase
Correct Answer: B) 18.5% increase
Explanation:
Let the original number be 100 .
After a 30% increase: 100 \times 1.30 = 130
After a 25% decrease on 130: 130 \times 0.75 = 97.5
Then, a 20% increase on 97.5: 97.5 \times 1.20 = 117.5
Net percentage change = 117.5 – 100 = 18.5% increase.
A) ₹12,044
B) ₹12,544
C) ₹12,554
D) ₹11,254
Correct Answer: B) ₹12,544
Explanation:
Future price after 2 years = 10000 \times (1.12)^2
= 10000 \times 1.2544 = 12,544
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