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Math Problems
Algebra 2
Finance problems
An amount of
₹
2
,
75
,
625
\text{₹} 2,75,625
₹
2
,
75
,
625
is to be collected in such a way that the number of students is equal to the amount donated by each of the students. Find the number of students.
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You borrowed
$
3
,
000
\$ 3,000
$3
,
000
to help pay for your first car. If you have to pay
3
%
3 \%
3%
simple interest every year, and it takes you
4
4
4
years of payments to finish paying off the loan, what total amount will you have to pay back? SIMPLE INTEREST: I = Prt
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Jacob makes
$
80
,
000
\$80,000
$80
,
000
a year. His boss wants to give him a
7
%
7\%
7%
raise for the following year. What will Jacob's new salary be next year after his raise?
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A man pays Rs.
4000
4000
4000
at the end of each year for
5
5
5
years. The money is worth
6
%
6\%
6%
compounded quarterly. He wants to replace it for a payment at the end of each quarter.
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Mr. R.K. Nair gets ₹
6455
6455
6455
at the end of one year at the rate of
14
%
14 \%
14%
per annum recurring deposit account. Find the monthly instalment.
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A lender will grant an
80
80
80
%
\%
%
loan on a home with an appraised value of
$
328
,
400
\$328,400
$328
,
400
at
4
4
4
.
75
75
75
%
\%
%
annual interest for
15
15
15
years. The monthly payment will require
$
7.78
\$7.78
$7.78
per
$
1
,
000
\$1,000
$1
,
000
of loan amount. How much verifiable monthly gross income must the borrowers earn if the lender permits them to devote
29
29
29
%
\%
%
of gross monthly income to the principal and interest payment?
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In a stationery shop cost of
3
3
3
books
2
2
2
pens and
2
2
2
pencils all together is Rs.
129
129
129
. Cost of
1
1
1
book
2
2
2
pens and
2
2
2
pencils together is Rs.
79
79
79
. And cost of
1
1
1
book and
1
1
1
pencil together is Rs.
2
2
2
0
0
0
. If Ajinkya buys
2
2
2
1
1
1
books,
2
2
2
pencils and
3
3
3
pens. How much will he pay to the shopkeeper?
\newline
(
1
1
1
) Rs
2
2
2
4
4
4
\newline
(
2
2
2
) Rs
2
2
2
5
5
5
\newline
(
3
3
3
) Rs
2
2
2
6
6
6
\newline
(
4
4
4
) Rs
2
2
2
7
7
7
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In a stationery shop cost of
3
3
3
books
2
2
2
pens and
2
2
2
pencils all together is Rs.
129
129
129
. Cost of
1
1
1
book
2
2
2
pens and
2
2
2
pencils together is Rs.
79
79
79
. And cost of
1
1
1
book and
1
1
1
pencil together is Rs.
37
37
37
. If Ajinkya buys
4
4
4
books,
2
2
2
pencils and
3
3
3
pens. How much will he pay to the shopkeeper?
\newline
(A) Rs
31
31
31
\newline
(B) Rs
150
150
150
\newline
(C) Rs
189
189
189
\newline
(D) Rs
169
169
169
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Three coins of Rs.
1
1
1
,
5
5
5
coins of
50
50
50
Paise and
7
7
7
coins of
25
25
25
Paise equals to which of the following?
\newline
(A) Rs.
6
6
6
and
25
25
25
Paise
\newline
(B) Rs.
7
7
7
and
75
75
75
Paise
\newline
(C) Rs.
7
7
7
and
25
25
25
Paise
\newline
(D) Rs.
8
8
8
and
50
50
50
Paise
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Vance invests
$
15
,
000
\$15,000
$15
,
000
in an account that pays
3.25
%
3.25\%
3.25%
simple interest for
72
72
72
months. Assuming Vance doesn’t make any other deposits or withdraws, how much will be in his account after
72
72
72
months?
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Q. A sum of Rs.
10
10
10
,
000
000
000
is borrowed at a rate of interest
15
%
15 \%
15%
per annum for
2
2
2
years. Find the simple interest on this sum and the amount to be paid at the end of two years.
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You want to study at the Hogwarts School of Witchcraft and Wizardry after three years. You need
910
910
910
pieces of muggle-money to study there. You decide to deposit some pieces in the bank at an annual interest rate of
10
%
10 \%
10%
.
\newline
How many pieces should you deposit today if you want to use the total amount to pay the fees?
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The monthly salary of a man is Rs.
65000
65000
65000
, one-fifth of his salary is spend paying the rent,
5
26
\frac{5}{26}
26
5
th of his remaining salary is spent in buying groceries, and half of the rest salary is spent miscellaneous expenses. How much his monthly saving?
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Suppose you want to have
$
300
,
000
\$ 300,000
$300
,
000
for retirement in
25
25
25
years. Your account earns
6
%
6 \%
6%
interest.
\newline
a) How much would you need to deposit in the account each month?
\newline
$
\$
$
\newline
b) How much interest will you earn?
\newline
$
\$
$
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Joe is taking out a loan for
$
1
,
500
\$ 1,500
$1
,
500
with an annual compound interest rate of
15
%
15 \%
15%
for
3
3
3
years. Joe will not make any additional deposits or withdrawals. What will be the total balance paid at the end of
3
3
3
years?
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Monico invests
$
13
,
000
\$ 13,000
$13
,
000
at
12
%
12 \%
12%
simple interest for
1
1
1
year. How much is in the account at the end of the
1
1
1
year period?
\newline
Answer:
$
\$
$
_______
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Suppose that
$
8000
\$8000
$8000
is invested and pays
4.5
%
4.5\%
4.5%
per year under the following compounding options. Determine the total amount in the account after
5
5
5
years with each option.
\newline
a. Compounded annually
\newline
b. Compounded monthly
\newline
c. Compounded continuously
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The price of a T.V. set inclusive of VAT is Rs
13530
13530
13530
. The rate of VAT is
10
%
10\%
10%
. Find its basic price.
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Jesse opened a savings account with a deposit of
$
500
\$500
$500
. The account earns
0.5
%
0.5\%
0.5%
simple interest per year. He did not make any additional deposits or withdrawals. What was Jesse's account balance after
5
5
5
years?
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You rent an apartment that costs
$
900
\$ 900
$900
per month during the first year, but the rent is set to go up
$
190
\$ 190
$190
per year. What would be the monthly rent during the
5
5
5
th year of living in the apartment?
\newline
Answer:
$
\$
$
□
\square
□
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How long will it take
$
3
,
000
\$ 3,000
$3
,
000
to grow to
$
10
,
000
\$ 10,000
$10
,
000
if it is invested at
6
%
6 \%
6%
compounded monthly?
\newline
□
\square
□
years (Round to the nearest tenth of a year.)
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William borrowed
$
20000
\$20000
$20000
from a bank. The interest rate was
12
%
12\%
12%
p.a. The interest was compounded monthly. He repaid
$
2000
\$2000
$2000
after each settlement at the end of the month. After
2
2
2
repayments, how much did he owe the bank?
\newline
A.
$
16382
\$16382
$16382
\newline
B.
$
18000
\$18000
$18000
\newline
C.
$
18200
\$18200
$18200
\newline
D.
$
18382
\$18382
$18382
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