A television set listed at $160 is offered at a 12 1/2% discount during a store wide sale. If an additional 3% is allowed on the net price for payment in cash, how much can Josh save by buying this set during the sale for cash ?
if the 3% discount is offered on the already discounted price, then Josh can save
160(1-.125)(.03) = $4.20
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To find out how much Josh can save by buying the television set during the sale for cash, we need to calculate the total discount.
Step 1: Find the discount during the store-wide sale.
The television set is offered at a 12 1/2% discount. We can convert this percentage to a decimal by dividing 12.5 by 100: 12.5/100 = 0.125.
To find the discount amount, multiply the original price ($160) by the discount rate (0.125): $160 * 0.125 = $<<160*0.125=20>>20.
Step 2: Find the additional discount for payment in cash.
An additional 3% discount is allowed on the net price for payment in cash. To find the additional discount amount, we will first subtract the initial discount from the original price: $160 - $20 = $<<160-20=140>>140.
Then, we can calculate the additional discount by multiplying the net price ($140) by the additional discount rate (0.03): $140 * 0.03 = $<<140*0.03=4.2>>4.2.
Step 3: Calculate the total discount.
Add the initial discount ($20) and the additional discount ($4.2) together to find the total discount: $20 + $4.2 = $<<20+4.2=24.2>>24.2.
Therefore, Josh can save $24.2 by buying this set during the sale for cash.
To calculate how much Josh can save by buying the television set during the sale for cash, we need to first calculate the net price after the discount and then calculate the discount on the net price.
Step 1: Calculate the net price after the discount
The discount offered during the store-wide sale is 12 1/2% or 0.125 as a decimal.
To find the net price, we subtract the discount amount from the original price:
Net price = Original price - (Discount rate * Original price)
= $160 - (0.125 * $160)
= $160 - $20
= $140
Step 2: Calculate the additional discount for cash payment
The additional discount offered for cash payment is 3% or 0.03 as a decimal.
To find the cash discount amount, we multiply the net price by the cash discount rate:
Cash discount amount = Net price * Cash discount rate
= $140 * 0.03
= $4.20
Therefore, Josh can save $4.20 by buying this television set during the sale for cash.