Class 10 Maths – Case Study Quiz (Set 3, CBSE)

Class 10 Maths – Case Study Quiz (Set 3, CBSE)

Class 10 Maths – Case Study Quiz (Set 3, CBSE)

Case Study 1: A shopkeeper sells 50 notebooks at Rs 20 each and 30 pens at Rs 10 each. Cost price of each notebook is Rs 15 and pen is Rs 8.
Q1. Total revenue of notebooks?
Answer: Rs 1000
Revenue = 50 × 20 = 1000
Q2. Total profit on notebooks?
Answer: Rs 250
Profit = (20-15)×50=250
Q3. Profit percent on pens?
Answer: 25%
Profit % = [(10-8)/8]×100 = 25%
Q4. Total combined profit?
Answer: Rs 350
Notebook profit 250 + Pen profit (30×2)=60; Total=250+60=310 (adjusted correctly: 50 notebooks profit=250, 30 pens profit=6?) Actually 30 pens profit=30×(10-8)=60; Total=250+60=310. So set answer as Rs 310.
Case Study 2: A car travels 240 km in 4 hours and returns the same distance in 5 hours due to traffic.
Q5. Average speed for the onward journey?
Answer: 60 km/h
240/4=60 km/h
Q6. Average speed for return journey?
Answer: 48 km/h
240/5=48 km/h
Q7. Average speed for whole journey?
Answer: 51.4 km/h
Total distance=480, Total time=9 hours; 480/9≈51.4 km/h
Q8. Time taken if speed increased by 10% in onward journey?
Answer: 3.64 h
Speed increased by 10%: 60×1.1=66 km/h; Time=240/66≈3.64 h
Case Study 3: A box contains 3 red, 4 blue, and 5 green balls.
Q9. Probability of picking a red ball?
Answer: 1/4
3 red out of total 12 balls: 3/12=1/4
Q10. Probability of picking blue or green ball?
Answer: 7/12
Blue+Green=4+3=7; Total balls=12; 7/12

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