A good costs Rs 12,000. A customer can choose either of the pairs of…
2024
A good costs Rs 12,000. A customer can choose either of the pairs of successive discounts:
Pair A: 20% & 30%
Pair B: 40% & 10%
Customer X chose A & customer Y chose B. What is the difference between their payments?
- A.
Rs 120
- B.
Rs 240
- C.
Rs 180
- D.
Rs 60
Attempted by 90 students.
Show answer & explanation
Correct answer: B
Key idea: apply successive discount multipliers to the original price.
Customer X (20% then 30%): 12,000 × 0.8 = 9,600; then 9,600 × 0.7 = 6,720.
Customer Y (40% then 10%): 12,000 × 0.6 = 7,200; then 7,200 × 0.9 = 6,480.
Difference: 6,720 − 6,480 = 240.
Answer: Rs 240
Quick check: combined multipliers are 0.8×0.7 = 0.56 (pay 56% → 6,720) and 0.6×0.9 = 0.54 (pay 54% → 6,480); difference = 0.02×12,000 = 240.