The marked price of a shirt is Rs.1000. A shopkeeper offers 10% discount on…
2026
The marked price of a shirt is Rs.1000. A shopkeeper offers 10% discount on this shirt and then again offers 20% discount on the new price, and then and then again offers 30% discount on the new price . How much will you have to pay, finally?
- A.
Rs. 400
- B.
Rs. 600
- C.
Rs. 496
- D.
Rs. 504
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Correct answer: D
Solution:
Apply each discount to the new price successively. Two equivalent ways are shown.
Stepwise method:
Start with marked price = Rs. 1000.
After 10% discount: 1000 × 0.90 = Rs. 900.
After 20% discount on the new price: 900 × 0.80 = Rs. 720.
After 30% discount on the new price: 720 × 0.70 = Rs. 504.
Multiplicative shortcut:
Combine factors: 0.90 × 0.80 × 0.70 = 0.504.
Final price = 1000 × 0.504 = Rs. 504.
Total discount amount = 1000 − 504 = Rs. 496, which is 49.6% of the marked price.
Answer: You will have to pay Rs. 504.