Before attempting this worksheet, we strongly recommend that students first watch our detailed notes and formula-explanation video on the chapter Comparing Quantities available on our YouTube channel. In that video, all important concepts and formulas related to Profit & Loss, GST, Simple Interest, Compound Interest, discount, and population increase are explained step-by-step with easy examples. Watching the video will help you clearly understand the concepts and apply the formulas correctly while solving this practice paper.
Section A: Multiple Choice Questions (MCQs)
- If the Cost Price of an article is ₹400 and it is sold for ₹460, the gain percent is:
a) 10%
b) 12%
c) 15%
d) 18% - The Marked Price of a bag is ₹1000. If a discount of 20% is given, the selling price will be:
a) ₹800
b) ₹820
c) ₹850
d) ₹900 - GST charged on an article costing ₹500 at the rate of 12% is:
a) ₹50
b) ₹55
c) ₹60
d) ₹65 - The simple interest on ₹2000 at 5% per annum for 2 years is:
a) ₹150
b) ₹200
c) ₹250
d) ₹300 - The population of a town is 10,000 and increases at a rate of 10% per year. After 1 year, the population will be:
a) 10,500
b) 10,800
c) 11,000
d) 11,200
Section B: Short Answer Questions
- Find the gain or loss percent if CP = ₹800 and SP = ₹720.
- The Marked Price of a shirt is ₹1500. A discount of 10% is given. Find the Selling Price.
- Find the GST paid on an article costing ₹1200 at 5%.
- Calculate the Simple Interest on ₹3000 at 8% per annum for 2 years.
- Find the population after 1 year if the present population is 10,000 and the growth rate is 5% per annum.
Section C: Long Answer Questions
11. A shopkeeper buys a bicycle for ₹2500 and sells it at a gain of 12%.
(a) Find the Selling Price
(b) Find the gain in rupees
12. The Marked Price of a refrigerator is ₹20,000. A discount of 10% is given and GST at 18% is charged on the discounted price. Find:
(a) Discount
(b) Price after discount
(c) GST amount
(d) Final price paid by the customer
13. Find the Compound Interest on ₹5000 at 10% per annum for 2 years, compounded annually.
14. The population of a city is 50,000. If it increases at the rate of 8% per annum, find the population after 2 years.
15. Compare the Simple Interest and Compound Interest on ₹4000 at 5% per annum for 2 years.
Section D: Case Study
- A shopkeeper marks an article at ₹1000. He allows a discount of 20% and charges GST at 5% on the discounted price.
(a) Find the price after discount
(b) Find the GST amount
(c) Find the final price paid by the customer
(d) If the Cost Price is ₹700, find the gain or loss percent
Answer Key
The complete step-by-step solution video for this worksheet is uploaded on our YouTube channel. This solution video will help you verify your answers, understand proper exam-style working, and clear any doubts related to the questions in this worksheet.
