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Problems on Profit and Loss

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Problems on Profit and Loss
REPUBLIC OF THE PHILIPPINES

ILOCOS SUR POLYTECHNIC STATE COLLEGE

COLLEGE OF BUSINESS MANAGEMENT

NORTH CLUSTER

STA. MARIA, ILOCOS SUR

IN PARTIAL FULLFILLMENT

TO THE REQUIREMENTS

OF THE SUBJECT

BUSINESS MATH

PRESENTED BY:

MONICA D. APALLA

BSHRM 1A

PRESENTED TO:

MR. MARVIN GALCON

SUBJECT INSTRUCTOR

PROBLEM SOLVING INVOLVING INTEREST

1. You put $1000 into an investment yielding 6% annual interest; you left the money in for two years. How much interest do you get at the end of those two years?

Given:

P = $1000

r = 0.06 (because I have to convert the percent to decimal form)

t = 2

Find: I

Solution:

I = Prt

I = (1000) (0.06) (2)

I= 120

2. You invested $500 and received $650 after three years. What had been the interest rate?

Given:

P = $500

I = $650 – 500 = $150

t = 3

Solution:

I=Prt

150 = (500) (r) (3) 150 = 1500r 150/1500 = r = 0.10

3. You have $50,000 to invest, and two funds that you'd like to invest in. The You-Risk-It Fund (Fund Y) yields 14% interest. The Extra-Dull Fund (Fund X) yields 6% interest. Because of college financial-aid implications, you don't think you can afford to earn more than $4,500 in interest income this year. How much should you put in each fund?

The problem here comes from the fact that I'm splitting that $50,000 in principal into two smaller amounts:

|I |P |r |t | |Fund X |? |? |0.06 |1 | |Fund Y |? |? |0.14 |1 | |total |4,500 |50,000 |--- |--- | |* The amount in Fund Y is (the total) less or 50,000 – x.

|I |P |r |t | |Fund X |? |x |0.06 |1 | |Fund Y |? |50,000 – x |0.14 |1 | |total |4,500 |50,000 |--- |--- | |* I can now multiply across (right to left) and fill in the "interest" column.

|I |P |r |t | |Fund X |0.06x |x |0.06 |1 | |Fund Y |0.14(50,000 – x) |50,000 – x |0.14 |1 | |total

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