Comparing Quantities (Class 8)

What this worksheet covers

This is an eighteen-question practice worksheet on comparing quantities — percentage, profit, loss and interest for Class 8, written to the pattern of the SOF International Mathematics Olympiad (IMO). It carries 24 marks and is designed to be attempted in 45 minutes, split across three sections — Mathematical Reasoning, Everyday Mathematics and Reasoning and Achievers Section. Every question is multiple choice with exactly one correct option, and every one comes with a fully worked solution rather than just an answer key — so a child who gets one wrong can see where the reasoning went astray instead of only learning that it did.

Skills your child practises

• Applied problem-solving on comparing quantities — percentage, profit, loss and interest at Class 8 level
• Working accurately against a time limit, as the real paper demands
• Mathematical Reasoning questions in the olympiad format
• Everyday Mathematics and Reasoning questions in the olympiad format
• Achievers Section questions in the olympiad format
• Reading worked solutions to find the step that went wrong

How to use it

1. 1There are 18 questions in this worksheet. All questions are compulsory.
2. 2Each question has four options (A), (B), (C) and (D). Exactly one option is correct.
3. 3Questions 1–15 carry 1 mark each. Questions 16–18 (Achievers Section) carry 3 marks each.
4. 4There is no negative marking. Use of a calculator is not allowed.
5. 5Rough work may be done on the blank space at the side of each page.

Sample questions from this worksheet

A preview of what's inside Comparing Quantities (Class 8) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. 25% of 480 is _______.

   • A96
   • B110
   • C120correct
   • D125
   Solution: 25% means one quarter, so 25% of 480 = 480 ÷ 4 = 120.

2. 2. A shirt is marked at ₹1200 and sold at a discount of 15%. Its selling price is _______.

   • A₹1140
   • B₹1080
   • C₹1020correct
   • D₹180
   Solution: Discount = 15% of 1200 = (15 ÷ 100) × 1200 = ₹180.
   Selling price = 1200 − 180 = ₹1020.

3. 3. Consider the following statements.(i) Profit per cent is always calculated on the selling price.(ii) For the same principal, rate and time of 1 year, simple interest and compound interest (compounded annually) are equal.(iii) A discount is always calculated on the marked price.Which of the statements is/are correct?

   • A(i) and (ii) only
   • B(ii) and (iii) onlycorrect
   • C(i) and (iii) only
   • DAll three
   Solution: Statement (i) is false — profit and loss per cent are calculated on the cost price. Statement (ii) is true; over a single year there is no chance for interest to earn interest, so both come to the same amount. Statement (iii) is true; a discount is a reduction on the marked (listed) price. Hence (ii) and (iii).