Question

A customer discovers 60% of the total merchandise delivered from a retailer is damaged. The original purchase for all merchandise was $3,600. The customer decides to return 35% of the damaged merchandise for a full refund and keep the remaining 65%. What is the value of the merchandise returned?

a) $756
b) $1,080
c) $1,260
d) $1,512

Answer 1

The value of the merchandise returned is $756, which is calculated by determining that 60% of the original $3,600 worth of merchandise is damaged, and then finding 35% of the damaged merchandise value.

Step-by-step explanation:

The student has asked how to calculate the value of the merchandise returned, given that 60% of the merchandise was damaged. To find the solution, we must first determine the value of the damaged merchandise and then calculate 35% of that value, which represents the portion of damaged goods that the customer decides to return.

Step 1: Find the total value of the damaged merchandise, which is 60% of $3,600.
60% of $3,600 equals $2,160. ($3,600 * 0.60 = $2,160).

Step 2: Calculate the value of the 35% of the damaged merchandise that the customer is returning.
35% of $2,160 equals $756. ($2,160 * 0.35 = $756).

Therefore, the value of the merchandise that is returned is $756.