The marked prices of a pen and pencil are in the ratio of 5:6. The shopkeeper gives an 18% discount on the pen. If the total discount on both the pen and the pencil is 12%, then the discount offered on the pencil is:
Show answer & explanation
Correct answer: A
Explanation
Given:
Pen : Pencil (marked price) = 5 : 6
Discount on pen = 18%
Total discount = 12%
Let
Marked price of pen = 5x
Marked price of pencil = 6x
Discount on pen = 18% × 5x = 0.9x
Let discount on pencil = r%
Discount on pencil = r/100 × 6x
Total discount percentage = 12%
Total discount amount = 12% × (5x + 6x) = 1.32x
0.9x + (6r/100)x = 1.32x
0.9x + 6r/100 = 1.32
6r/100 = 0.42
r = 7
Discount on pencil = 7%