Question
Download Solution PDFA shopkeeper gives two successive discounts on a watch marked Rs. 2,750. The first discount given is 10%. If the customer pays Rs. 2,103.75 for the watch, then what is the second discount?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The first discount given is 10%.
Marked price of the watch = Rs. 2750
Concept used:
Selling price = Marked price × (100 - Discount)%
Calculation:
After 1st discount amount = 2750 × 90%
⇒ 2475
Let the second discount be a%
According to the question,
2475 × (100 - a)% = 2103.75
⇒ (100 - a)/100 = 2103.75/2475
⇒ (100 - a)/100 = 210375/247500
⇒ (100 - a) = 210375/2475
⇒ (100 - a) = 187/2.2
⇒ 220 - 2.2a = 187
⇒ 220 - 187 = 2.2a
⇒ 33 = 2.2a
⇒ 15 = a
So, the second discount is 15%
∴ The second discount is 15%.
Shortcut Trick
We know, 10% = 1/10
In the 1st discount MP = 10 and SP = 9
Let's assume in the 2nd discount MP = x SP = y
So, x : y = (9 × 2750) : (10 × 2103.75) = 20 : 17
So, the 2nd discount be 3/20 × 100 = 15%
Last updated on Jul 22, 2025
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