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 increases at the 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 will be uploaded on our YouTube channel next weekend. Make sure to subscribe to our channel and press the bell icon so that you don’t miss the notification when the solution video is released. 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.
