On an item having a marked price of ₹1,600, successive discounts of y% and z% were offered. As a result, the item was sold for ₹1,056. Which of the options below CANNOT be a set of values for y and z?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. y = 22, z = 15.5.
According to the given question,
Discount% = [(1600 - 1056)/1600] × 100
⇒ 100 × 544/1600 = 34%
Now, effective discount = y + z - yz/100
⇒ y + z - yz/100 = 34%
Now by using options,
1. 22 + 15.5 - 22 × 15.5/100 = 37.5 - 3.41 = 34.09%
This is not equal to 34%.
Hence the required answer is y = 22, z = 15.5.