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kati45 [8]
4 years ago
11

If costs are 85% of sales (and profit is 15%), what is the amount of extra sales needed to equal $1,200 in profit from purchasin

g cost savings efforts?
Business
1 answer:
attashe74 [19]4 years ago
7 0

Answer:

$8,000

Explanation:

Given that

Profit = $1,200

Cost = 85% of sales

Profit = 15%

We know that

Sales = Cost + Profit

         = 85% + 15%

         = 100%

So sales percentage is 100%

Now we use the unitary method to find out the extra sales which would be

= Profit × sales percentage ÷ profit percentage

= $1,200 × 100% ÷ 15%

= $8,000

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Your best friend wants to borrow $2000 from you today for an emergency purchase they need to make that requires a cash payment.
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a. It is not a fair deal for me.

The question is how much is $1,000 today when received in 12 months' time from now.  The present value of $1,000 at 5% effective interest rate is $952 ($1,000 * 0.952).  The other repayment of $1,100 in 2 years' time from now is worth $997.70 today at the 5% effective interest rate.  This implies that my friend is repaying me $1,949.70 in present value terms.

For friendship sake, I may lend her the money, but in economic analysis terms, the NPV value will yield a negative value of $50.30 ($2,000 - $1,949.70).  My friend is not actually paying me back the amount I would lend to her.  She is paying me less than I actually would lend to her.

b. Cash Flow Diagram:

                 Year 1             Year 2

                    F1                F2

                 $1,000          $1,100     (Inflows)

Fo⇵.................⇵.......................⇵...........................⇵n period

Year 0

$2,000   (outflows)

Explanation:

The cash flow diagram for this loan is the graphical representation of the timing of the cash flows with a clear marking of the repayments made by my best friend in two instalments and the $2,000 that I lent to her.  This cash flow diagram presents the flow of cash as arrows on a timeline scaled to the magnitude of the cash flow, where outflows are down arrows and inflows are up arrows.

The Net present value (NPV) of this loan shows the difference between the present value of repayments by my best friend and the present value of $2,000 that I lent to her over a period of 2 years. To obtain this difference, the present values of cash inflows  of $1,000 in a year's time and $1,100 in two years' time are determined using the discount factor table based on the given interest rate of 5%.

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