Q1: The fraction form of 60% is (a) 3/5 (b) 4/5 (c) 3/10 (d) 7/10
Solution:
Ans: (a) 60% = 60/100 = 6/10 = 3/5
Q2: The percent form of 3.05 is (a) 61/20% (b) 61/50% (c) 305% (d) 350%
Solution:
Ans: (c) 3.05 x 100% = 305/100 x 100 = 305%
Q3: 35% of 1 kg is equal to (a) 3.5 GM (b) 35 GM (c) 350 GM (d) 3.5 KG
Solution:
Ans: (c) 35% of 1 kg = 35/100 x 1 = 0.35 kg = 350 gm
Q4: 20% of 1000G is equal to (a) 100 G (b) 150 G (c) 200 G (d) 250 G
Solution:
Ans: (c)
20% of 1000G = 20/100 × 1000 = 200G
Q5: If 65% of students in class VII have a bicycle, then the percentage of the students who do not have bicycles will be (a) 25% (b) 35% (c) 45% (d) 56%
Solution:
Ans: (b) Suppose there are 100 students in class VII, 65 out of them have bicycles and the percentage of the students do not have bicycles = (100 - 65)% = 35%
Q6: Out of 25 children in class VII, 10 are boys. The percentage of boys is
Solution:
Sol: Given, out of 25 children, there are 10 boys. The percentage of boys = 10/25 x 100 = 40 There are 40% boys in the class.
Q7: If 65% of students in class VII have a bicycle, then the percentage of the students who do not have bicycles will be
Solution:
Sol: Suppose there are 100 students in class VII, 65 out of them have bicycles and the percentage of the students do not have bicycles = (100 - 65)% = 35%
Q8: If a storybook with market price Rs 250 was sold to a customer for Rs 280, then the increase% will be
Solution:
Sol: Old price = Rs 250 New price = Rs 280 Change in price = Rs 280 - Rs 250 = Rs 30 Increase % = Change in price / Original price × 100 = 30/250 × 100 =12%
Q9: The amount to be paid on Rs 7500 at 3.5% p.a. for 1 year is
Solution:
Sol: Simple Interest (SI) = Principal x Rate × Time / 100
Total amount = Principal + SI = 7500 + 262.50 = 7762.50
Q10: The amount to be paid on Rs 6000 at 3% p.a. for 3 years is
Solution:
Sol: Given: Principal (P) = Rs 6000 Rate of interest (R) = 3% Time (T) = 3 years Simple Interest (SI): SI = P × R × T / 100 = 6000 × 3 × 3 /100 =Rs. 540 Total Amount: Amount = P + SI = 6000 + 540 = Rs. 6540
Q11: Mohan bought a T.V. set for Rs 10,000 and sold it at a profit of 10%. The profit on the T.V. set is
Solution:
Sol: Given. CP = Rs 10000 and profit = 10% Profit = 10% of Rs 10, 000 = 10/100 x 10000 = Rs. 1000
Q12: An almirah is marked at Rs 6,000 and is available at a discount of 12%. The sale price of the almirah is
Solution:
Sol: Given, marked price (MP) of an almirah = Rs 6, 000 and, discount = 12% of Rs 6000 = 12 / 100 x 6000 = Rs. 720 Sale price = MP - discount = Rs (6000 - 720) = Rs 5, 280
Q13: The simple interest on Rs 2,500 for 3 years at 5% p.a. is
Solution:
Sol: Given, Principal (P) = Rs 2,500 Rate of interest (R) = 5% p.a. Time (T) = 3 years Simple Interest (S.I.) = P x R x T / 100 = 2500 x 5 x 3 / 100 = Rs. 375
Q14: The price of a watch was increased from Rs. 1770 to Rs. 2200. The percentage increase is
Solution:
Sol: Old price = 1770 New price = 2200 Amount of change = Rs. 2200 - Rs. 1770 = Rs. 430 Increase % = Amount of change / original amount x 100 = 430/1770 x 100 = 24.29%
Q15: A bag was sold for Rs 250 at a loss of 20%. The cost price is
FAQs on Worksheet Question & Answers : Comparing Quantities
1. How do I calculate percentage increase or decrease in comparing quantities problems?
Ans. Percentage change is found using the formula: (Change ÷ Original Value) × 100. For example, if a price rises from ₹100 to ₹120, the percentage increase is (20 ÷ 100) × 100 = 20%. This method applies to both profit-loss calculations and real-world scenarios like population growth or discount comparisons in CBSE Class 7 mathematics.
2. What's the difference between ratio and proportion in comparing quantities?
Ans. A ratio compares two quantities using division (e.g., 3:5), while proportion states that two ratios are equal (e.g., 3:5 = 6:10). Ratios help express relationships between amounts, whereas proportions solve problems where one quantity is unknown. Both are essential for scaling recipes, maps, or any comparison task in worksheet problems.
3. How do I find the original price if I only know the discount percentage?
Ans. Use the formula: Original Price = Selling Price ÷ (1 - Discount Rate). If an item sells for ₹75 after a 25% discount, the original price is ₹75 ÷ 0.75 = ₹100. Understanding this reverse calculation helps solve real-world shopping and profit-loss scenarios commonly asked in Class 7 comparing quantities worksheets.
4. Why do I keep making mistakes with simple interest calculations?
Ans. Common errors include confusing principal, rate, and time, or forgetting to add interest back to principal. Simple Interest = (Principal × Rate × Time) ÷ 100. Always identify each variable clearly before substituting. Students often forget that the final amount equals principal plus interest-not just the interest alone-which leads to wrong answers on comparison-based worksheet questions.
5. How do I compare quantities when they're in different units or measurements?
Ans. Convert all quantities to the same unit before comparing. For example, compare 500 grams and 2 kilograms by converting both to grams (500g and 2000g). Once standardised, use ratios or percentages to establish relationships. This unification technique is crucial for solving real-world problems involving discounts, markups, and proportional comparisons in CBSE mathematics.
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