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All questions of Fractions in Disguise for Class 8 Exam
If a farmer harvested 650 kg of wheat this year, which is 250% of last year's harvest, what was last year's harvest?- a)400 kg
- b)260 kg
- c)500 kg
- d)300 kg
Correct answer is option 'B'. Can you explain this answer?
If a farmer harvested 650 kg of wheat this year, which is 250% of last year's harvest, what was last year's harvest?
a)
400 kg
b)
260 kg
c)
500 kg
d)
300 kg
 | Nidhi Bhatt answered |
Let last year's harvest be x kg.
250% = 250/100 = 2.5, so 650 = 2.5 × x.
Thus x = 650 ÷ 2.5 = 260 kg.
Answer: 260 kg.
If 50% of a quantity s is represented as a fraction, what is it?- a)25/100 × s
- b)1/2 × s
- c)3/4 × s
- d)1/4 × s
Correct answer is option 'B'. Can you explain this answer?
a)
25/100 × s
b)
1/2 × s
c)
3/4 × s
d)
1/4 × s
| | Nidhi Bhatt answered |
Write 50% as a fraction: 50% = 50/100 = 1/2.
So 50% of s = (1/2) × s = s/2.
Therefore the correct choice is option B.
What is the profit percentage if an item bought for Rs 200 is sold for Rs 300?- a)100%
- b)25%
- c)75%
- d)50%
Correct answer is option 'D'. Can you explain this answer?
What is the profit percentage if an item bought for Rs 200 is sold for Rs 300?
a)
100%
b)
25%
c)
75%
d)
50%
| | Nidhi Bhatt answered |
Cost price (CP) = Rs 200; Selling price (SP) = Rs 300.
Profit = SP - CP = Rs 300 - Rs 200 = Rs 100.
Profit percentage = (Profit / CP) × 100 = (100 / 200) × 100 = 50%
What is the percentage increase if the price of tomatoes rises from Rs 30 to Rs 42?- a)60%
- b)40%
- c)30%
- d)50%
Correct answer is option 'B'. Can you explain this answer?
What is the percentage increase if the price of tomatoes rises from Rs 30 to Rs 42?
a)
60%
b)
40%
c)
30%
d)
50%
| | Nidhi Bhatt answered |
Increase = Rs 42 - Rs 30 = Rs 12.
Percentage increase = (Increase ÷ Original price) × 100 = (12 ÷ 30) × 100 = 40%.
Answer: 40% (Option B).
What is the total amount after depositing Rs 60,000 in a bank for one year at an interest rate of 10% per annum?- a)Rs 68,000
- b)Rs 70,000
- c)Rs 66,000
- d)Rs 62,000
Correct answer is option 'C'. Can you explain this answer?
a)
Rs 68,000
b)
Rs 70,000
c)
Rs 66,000
d)
Rs 62,000
| | Nidhi Bhatt answered |
Formula: Interest = P × R × T / 100.
P = Rs 60,000, R = 10%, T = 1 year.
Interest = 60,000 × 10 × 1 / 100 = Rs 6,000.
Total amount = P + Interest = Rs 60,000 + Rs 6,000 = Rs 66,000.
If a cyclist has completed 40% of a 230 km journey, how many kilometers are left?- a)115 km
- b)92 km
- c)138 km
- d)60 km
Correct answer is option 'C'. Can you explain this answer?
a)
115 km
b)
92 km
c)
138 km
d)
60 km
| | Nidhi Bhatt answered |
Distance completed = 40% of 230 = (40/100) × 230 = 92 km.
Distance remaining = 230 - 92 = 138 km.
Therefore, option C is correct.
How is the percentage decrease calculated if an item's price drops from Rs 80 to Rs 60?- a)(60/80) × 100
- b)(20/80) × 100
- c)(80/60) × 100
- d)(20/60) × 100
Correct answer is option 'B'. Can you explain this answer?
a)
(60/80) × 100
b)
(20/80) × 100
c)
(80/60) × 100
d)
(20/60) × 100
| | Nidhi Bhatt answered |
Decrease = 80 - 60 = 20.
Percentage decrease = (Decrease ÷ Original price) × 100.
So, percentage decrease = (20 ÷ 80) × 100 = (20/80) × 100 = 25%.
Surya mixes red and yellow paint, where red makes up 3/4 of the mixture. What percentage of the mixture is red?- a)50%
- b)80%
- c)75%
- d)100%
Correct answer is option 'C'. Can you explain this answer?
a)
50%
b)
80%
c)
75%
d)
100%
| | Nidhi Bhatt answered |
Convert the fraction to a percentage by multiplying by 100.
(3/4) × 100% = 75%
Therefore, 75% of the mixture is red.
If the cost price of a shirt is Rs 500 and it is sold for Rs 600, what is the profit percentage?- a)0%
- b)10%
- c)20%
- d)25%
Correct answer is option 'C'. Can you explain this answer?
a)
0%
b)
10%
c)
20%
d)
25%
| | Nidhi Bhatt answered |
Cost price (CP) = Rs 500; selling price (SP) = Rs 600.
Profit = SP - CP = Rs 100.
Profit percentage = (Profit / CP) × 100 = (100 / 500) × 100 = 20%.
Therefore, the profit percentage is 20%.
If a shopkeeper achieves 150% of a sales target of Rs 5000, what are the total sales?- a)Rs 10000
- b)Rs 5000
- c)Rs 7500
- d)Rs 6000
Correct answer is option 'C'. Can you explain this answer?
a)
Rs 10000
b)
Rs 5000
c)
Rs 7500
d)
Rs 6000
| | Nidhi Bhatt answered |
150% = 150/100 = 1.5.
Total sales = 1.5 × Rs 5000 = Rs 7500.
Answer: Rs 7500 (Option C).
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