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John Paul L. Hablado
Numerical Reasoning and Ability
Topic: Interest Problems
Mathematics, Science and Professional Education Instructor
Simple Interest
Formula
I = PRT
I = PRT
• I = interest earned (amount of money the
bank pays you)
• P = Principal amount invested or
borrowed.
• R = Interest Rate usually given as a
percent (must changed to decimal before
plugging it into formula)
• T = Time (must be measured in years) or
converted to years by dividing by 12 months
Converting
• Change % to decimal
1) 12%
2) 5%
3) 2 ½ %
4) 8.5%
• Change from decimal to %
5) .098
6) .455
• Answers
1) .12
2) .05
3) .025
4) .085
5) 9.8%
6) 45.5%
Move 2 places
to left & drop % sign
Move 2 places
to right & add % sign
I = PRT
Solve for one of variables:
• Solving for I
• Plug in numbers
for P, R, & T.
• Then multiply
• Solving for other
variables
• Plug in what you
know.
• Multiply the
numbers that are
on same side then
divide by that
answer.
1. A savings account is set up so that the simple interest earned on the
investment is moved into a separate account at the end of each year. If
an investment of ₱ 5,000 is invested at 4.5%, what is the total simple
interest accumulated in the checking account after 2 years.
I = PRT
I=
I=₱ 450
• Interest paid by bank
is unknown
• Principal (invested)
• Rate changed to
decimal
• Time is 2 years
• Multiply
(5,000)(.045)(2)
2. A savings account is set up so that the simple interest earned on the
investment is moved into a separate account at the end of each year. If
an investment of ₱ 7,000 is invested at 7.5%, what is the total simple
interest accumulated in the checking account after 3 years.
I = PRT
I=
I= ₱ 1,575
• Interest paid by bank
is unknown
• Principal (invested)
• Rate changed to
decimal
• Time is 3 years
• Multiply
(7,000)(.075)(3)
3. When invested at an annual interest rate of 6% an account
earned ₱ 180.00 of simple interest in one year. How much
money was originally invested in account?
I = PRT
180=
180 .06P
.06 .06
₱ 3,000 = P
• Interest paid by
bank
• Principal (invested)
is unknown
• Rate changed to
decimal
• Time is 1 year
• Multiply
• Divide
P(.06) (1)
=
4. When invested at an annual interest rate of 7% an account
earned ₱ 581.00 of simple interest in one year. How much
money was originally invested in account?
I = PRT
581=
581 .07P
.07 .07
₱ 8,300 =P
• Interest paid by
bank
• Principal (invested)
is unknown
• Rate changed to
decimal
• Time is 1 year
• Multiply
• Divide
P(.07) (1)
=
5. A savings account is set up so that the simple interest earned on
the investment is moved into a separate account at the end of each
year. If an investment of ₱ 7,000 accumulate ₱ 910 of interest in the
account after 2 years, what was the annual simple interest rate on
the savings account?
I = PRT
910=
910 = (7,000)(2)R
910 14,000 R
14,000 14,000
0.065 = R
6.5% = R
• Interest paid by bank
• Principal(invested)
• Rate is unknown
• Time is 2 years
• Regroup & Multiply
• Divide
• Change to %
(7,000)(R)(2)
=
6. A savings account is set up so that the simple interest earned on
the investment is moved into a separate account at the end of each
year. If an investment of ₱ 2,000 accumulate ₱ 360 of interest in the
account after 4 years, what was the annual simple interest rate on
the savings account?
I = PRT
360=
360 = (2,000)(4)R
360 8,000 R
8,000 8,000
0.045 = R
4.5% = R
• Interest paid by bank
• Principal (invested)
• Rate is unknown
• Time is 4 years
• Regroup & Multiply
• Divide
• Change to %
(2,000)(R)(4)
=
7. Sylvia bought a 6-month ₱ 1900 certificate of deposit. At the end
of 6 months, she received a ₱ 209 simple interest. What rate of
interest did the certificate pay?
I=PRT
209=
209=(1900)(6/12)R
209 950R
950 950
0.22 = R
22% = R
• Interest paid by
bank
• Principal (invested)
• Rate is unknown
• Time is 6 months
(divide by 12)
• Regroup & Multiply
• Divide
• Change to %
1900(R)(6/12)
=
8. An investment earns 4.5% simple interest in one year. If
the money is withdrawn before the year is up, the interest is
prorated so that a proportional amount of the interest is paid
out. If ₱ 2400 is invested, what is the total amount that can
be withdrawn when the account is closed out after 2 months?
I=PRT
I=
• Interest paid by
bank - Unknown
• Principal (invested)
• Rate is .045
• Time is 2 months
(divide by 12)
• Multiply
• Now, since the money
is being withdrawn,
add the interest to the
principal.
(2400)(.045)(2/12)
I= ₱ 18
₱ 18 + ₱ 2400 = ₱ 2418
₱ 2418 will be withdrawn.
Simple interest

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Simple interest

  • 1. John Paul L. Hablado Numerical Reasoning and Ability Topic: Interest Problems Mathematics, Science and Professional Education Instructor
  • 3. I = PRT • I = interest earned (amount of money the bank pays you) • P = Principal amount invested or borrowed. • R = Interest Rate usually given as a percent (must changed to decimal before plugging it into formula) • T = Time (must be measured in years) or converted to years by dividing by 12 months
  • 4. Converting • Change % to decimal 1) 12% 2) 5% 3) 2 ½ % 4) 8.5% • Change from decimal to % 5) .098 6) .455 • Answers 1) .12 2) .05 3) .025 4) .085 5) 9.8% 6) 45.5% Move 2 places to left & drop % sign Move 2 places to right & add % sign
  • 5. I = PRT Solve for one of variables: • Solving for I • Plug in numbers for P, R, & T. • Then multiply • Solving for other variables • Plug in what you know. • Multiply the numbers that are on same side then divide by that answer.
  • 6. 1. A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of ₱ 5,000 is invested at 4.5%, what is the total simple interest accumulated in the checking account after 2 years. I = PRT I= I=₱ 450 • Interest paid by bank is unknown • Principal (invested) • Rate changed to decimal • Time is 2 years • Multiply (5,000)(.045)(2)
  • 7. 2. A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of ₱ 7,000 is invested at 7.5%, what is the total simple interest accumulated in the checking account after 3 years. I = PRT I= I= ₱ 1,575 • Interest paid by bank is unknown • Principal (invested) • Rate changed to decimal • Time is 3 years • Multiply (7,000)(.075)(3)
  • 8. 3. When invested at an annual interest rate of 6% an account earned ₱ 180.00 of simple interest in one year. How much money was originally invested in account? I = PRT 180= 180 .06P .06 .06 ₱ 3,000 = P • Interest paid by bank • Principal (invested) is unknown • Rate changed to decimal • Time is 1 year • Multiply • Divide P(.06) (1) =
  • 9. 4. When invested at an annual interest rate of 7% an account earned ₱ 581.00 of simple interest in one year. How much money was originally invested in account? I = PRT 581= 581 .07P .07 .07 ₱ 8,300 =P • Interest paid by bank • Principal (invested) is unknown • Rate changed to decimal • Time is 1 year • Multiply • Divide P(.07) (1) =
  • 10. 5. A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of ₱ 7,000 accumulate ₱ 910 of interest in the account after 2 years, what was the annual simple interest rate on the savings account? I = PRT 910= 910 = (7,000)(2)R 910 14,000 R 14,000 14,000 0.065 = R 6.5% = R • Interest paid by bank • Principal(invested) • Rate is unknown • Time is 2 years • Regroup & Multiply • Divide • Change to % (7,000)(R)(2) =
  • 11. 6. A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of ₱ 2,000 accumulate ₱ 360 of interest in the account after 4 years, what was the annual simple interest rate on the savings account? I = PRT 360= 360 = (2,000)(4)R 360 8,000 R 8,000 8,000 0.045 = R 4.5% = R • Interest paid by bank • Principal (invested) • Rate is unknown • Time is 4 years • Regroup & Multiply • Divide • Change to % (2,000)(R)(4) =
  • 12. 7. Sylvia bought a 6-month ₱ 1900 certificate of deposit. At the end of 6 months, she received a ₱ 209 simple interest. What rate of interest did the certificate pay? I=PRT 209= 209=(1900)(6/12)R 209 950R 950 950 0.22 = R 22% = R • Interest paid by bank • Principal (invested) • Rate is unknown • Time is 6 months (divide by 12) • Regroup & Multiply • Divide • Change to % 1900(R)(6/12) =
  • 13. 8. An investment earns 4.5% simple interest in one year. If the money is withdrawn before the year is up, the interest is prorated so that a proportional amount of the interest is paid out. If ₱ 2400 is invested, what is the total amount that can be withdrawn when the account is closed out after 2 months? I=PRT I= • Interest paid by bank - Unknown • Principal (invested) • Rate is .045 • Time is 2 months (divide by 12) • Multiply • Now, since the money is being withdrawn, add the interest to the principal. (2400)(.045)(2/12) I= ₱ 18 ₱ 18 + ₱ 2400 = ₱ 2418 ₱ 2418 will be withdrawn.