A shopkeeper gives two successive discounts on a watch marked ₹2,750. The first discount given is 10 %. If the customer pays ₹ 2,103.75 for the watch, then what is the second discount?
Answer & explanation
Correct answer: option 1
After 1st discount amount = 2750 × 90%
⇒ 2475
Let the second discount be a%
According to the question,
2475 × (100 - a)% = 2103.75
⇒ \(\frac{100 - a}{100}\)= \(\frac{2103.75}{2475}\)
⇒ \(\frac{100 - a}{100}\) = \(\frac{210375}{247500}\)
By calculating,
⇒ 15 = a
So, the second discount is 15%