Question
Download Solution PDFThe difference between a discount of 40% and two successive discounts of 30% on a certain bill was ₹220. Find the amount of the bill (in ₹).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Difference between two discounts = Rs.220
Discount (D) = 40%
Two successive discounts
Discount (D1) = 30%; Discount (D2) = 30%
Formula used:
Equivalent discount (D) = D1 + D2 - (D1 × D2)/100
Calculation:
Equivalent discount (D) = 30 + 30 - (30 × 30)/100
⇒ 60 - 9 = 51%
Difference in discount = (51 - 40)% = 220
⇒ 11% = 220
⇒ 1% = Rs.20
Marked price (M.P) = 100% = 20 × 100 = Rs.2000
∴ The correct answer is Rs.2000.
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