Class 10 Maths – Case Study Quiz (Set 1, CBSE)

By / December 20, 2025

Class 10 Maths – Case Study Quiz (Set 1, CBSE)

Class 10 Maths – Case Study Quiz (Set 1, CBSE)

Case Study 1: A shop sells pencils at Rs 5 each. On a day, 120 pencils were sold.
Q1. Total revenue earned by the shop?
Answer: Rs 600
Revenue = Price × Quantity = 5 × 120 = Rs 600
Q2. If the cost price of each pencil is Rs 3, find profit.
Answer: Rs 240
Profit = (SP – CP) × Quantity = (5 – 3) × 120 = Rs 240
Q3. Profit percent?
Answer: 40%
Profit % = (Profit/CP total) × 100 = (240/(3×120))×100 = 40%
Q4. If 20 pencils are sold at 10% discount on SP, total revenue decreases by?
Answer: Rs 10
Discount per pencil = 10% of 5 = Rs 0.5; For 20 pencils = 20×0.5 = Rs 10
Case Study 2: A train covers 360 km in 4 hours.
Q5. Average speed of train?
Answer: 90 km/h
Speed = Distance/Time = 360/4 = 90 km/h
Q6. Time to cover 450 km at same speed?
Answer: 5 h
Time = Distance/Speed = 450/90 = 5 hours
Q7. If it halts for 30 min, effective average speed?
Answer: 80 km/h
Time including halt = 4+0.5=4.5 h; Avg speed = 360/4.5 = 80 km/h
Q8. Distance covered in 2.5 h at same speed?
Answer: 225 km
Distance = Speed × Time = 90 × 2.5 = 225 km
Case Study 3: A bag contains 5 red, 3 blue, 2 green balls.
Q9. Probability of picking a red ball?
Answer: 1/2
Probability = Favorable/Total = 5/10 = 1/2
Q10. Probability of picking blue or green ball?
Answer: 1/2
Probability of blue or green = (3+2)/10 = 5/10 = 1/2
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