Page 1
Banking (Recurring Deposit Accounts)
Question 1.
Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits ?
600 per month for 20 months. Calculate the maturity value of this account, if the bank
pays interest at the rate of 10% per annum.
Solution:
Installment per month(P) = ? 600
Number of months(n) = 20
Rate of interest(r) = 10% p.a.
The amount that Manish will get at the time of maturity
= ? (600×20) + ? 1,050
= ? 12,000 + ? 1,050
= ? 13,050
Question 2.
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ?
640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays
interest at the rate of 12% per year.
Solution:
Installment per month(P) = ? 640
Number of months(n) = 54
Rate of interest(r)= 12% p.a.
Page 2
Banking (Recurring Deposit Accounts)
Question 1.
Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits ?
600 per month for 20 months. Calculate the maturity value of this account, if the bank
pays interest at the rate of 10% per annum.
Solution:
Installment per month(P) = ? 600
Number of months(n) = 20
Rate of interest(r) = 10% p.a.
The amount that Manish will get at the time of maturity
= ? (600×20) + ? 1,050
= ? 12,000 + ? 1,050
= ? 13,050
Question 2.
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ?
640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays
interest at the rate of 12% per year.
Solution:
Installment per month(P) = ? 640
Number of months(n) = 54
Rate of interest(r)= 12% p.a.
The amount that Manish will get at the time of maturity
= ? (640×54) + ? 9,504
= ? 34,560 + ? 9,504
= ? 44,064
Question 3.
Each of A and B both opened recurring deposit accounts in a bank. If A deposited ?
1,200 per month for 3 years and B deposited ? 1,500 per month for 2 ½ years; find, on
maturity, who will get more amount and by how much? The rate of interest paid by the
bank is 10% per annum.
Solution:
For A
Installment per month(P) = ? 1,200
Number of months(n) = 36
Rate of interest(r) = 10% p.a.
The amount that A will get at the time of maturity
= ? (1,200×36) + ? 6,660
= ? 43,200 + ? 6,660
= ? 49,860
For B
Instalment per month(P) = ? 1,500
Number of months(n) = 30
Rate of interest(r) = 10% p.a.
The amount that B will get at the time of maturity
Page 3
Banking (Recurring Deposit Accounts)
Question 1.
Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits ?
600 per month for 20 months. Calculate the maturity value of this account, if the bank
pays interest at the rate of 10% per annum.
Solution:
Installment per month(P) = ? 600
Number of months(n) = 20
Rate of interest(r) = 10% p.a.
The amount that Manish will get at the time of maturity
= ? (600×20) + ? 1,050
= ? 12,000 + ? 1,050
= ? 13,050
Question 2.
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ?
640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays
interest at the rate of 12% per year.
Solution:
Installment per month(P) = ? 640
Number of months(n) = 54
Rate of interest(r)= 12% p.a.
The amount that Manish will get at the time of maturity
= ? (640×54) + ? 9,504
= ? 34,560 + ? 9,504
= ? 44,064
Question 3.
Each of A and B both opened recurring deposit accounts in a bank. If A deposited ?
1,200 per month for 3 years and B deposited ? 1,500 per month for 2 ½ years; find, on
maturity, who will get more amount and by how much? The rate of interest paid by the
bank is 10% per annum.
Solution:
For A
Installment per month(P) = ? 1,200
Number of months(n) = 36
Rate of interest(r) = 10% p.a.
The amount that A will get at the time of maturity
= ? (1,200×36) + ? 6,660
= ? 43,200 + ? 6,660
= ? 49,860
For B
Instalment per month(P) = ? 1,500
Number of months(n) = 30
Rate of interest(r) = 10% p.a.
The amount that B will get at the time of maturity
= ? (1,500×30) + ? 5,812.50
= ? 45,000 + ? 5,812.50
= ? 50,812.50
Difference between both amounts = ? 50,812.50 – ? 49,860
= ? 952.50
Then B will get more money than A by ? 952.50.
Question 4.
Ashish deposits a certain sum of money every month is a Recurring Deposit Account for
a period of 12 months. If the bank pays interest at the rate of 11% p.a. and Ashish gets ?
12,715 as the maturity value of this account, what sum of money did money did he pay
every month?
Solution:
Let Installment per month(P) = ? y
Number of months(n) = 12
Rate of interest(r) = 11% p.a.
Maturity value = ? (y × 12) + ? 0.715y = ? 12.715y
Given maturity value = ? 12,715
Then ? 12.715y = ? 12,715
Question 5.
A man has a Recurring Deposit Account in a bank for 3 ½ years. If the rate of interest is
12% per annum and the man gets ? 10,206 on maturity, find the value of monthly
instalments.
Solution:
Let Installment per month(P) = ? y
Number of months(n) = 42
Page 4
Banking (Recurring Deposit Accounts)
Question 1.
Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits ?
600 per month for 20 months. Calculate the maturity value of this account, if the bank
pays interest at the rate of 10% per annum.
Solution:
Installment per month(P) = ? 600
Number of months(n) = 20
Rate of interest(r) = 10% p.a.
The amount that Manish will get at the time of maturity
= ? (600×20) + ? 1,050
= ? 12,000 + ? 1,050
= ? 13,050
Question 2.
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ?
640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays
interest at the rate of 12% per year.
Solution:
Installment per month(P) = ? 640
Number of months(n) = 54
Rate of interest(r)= 12% p.a.
The amount that Manish will get at the time of maturity
= ? (640×54) + ? 9,504
= ? 34,560 + ? 9,504
= ? 44,064
Question 3.
Each of A and B both opened recurring deposit accounts in a bank. If A deposited ?
1,200 per month for 3 years and B deposited ? 1,500 per month for 2 ½ years; find, on
maturity, who will get more amount and by how much? The rate of interest paid by the
bank is 10% per annum.
Solution:
For A
Installment per month(P) = ? 1,200
Number of months(n) = 36
Rate of interest(r) = 10% p.a.
The amount that A will get at the time of maturity
= ? (1,200×36) + ? 6,660
= ? 43,200 + ? 6,660
= ? 49,860
For B
Instalment per month(P) = ? 1,500
Number of months(n) = 30
Rate of interest(r) = 10% p.a.
The amount that B will get at the time of maturity
= ? (1,500×30) + ? 5,812.50
= ? 45,000 + ? 5,812.50
= ? 50,812.50
Difference between both amounts = ? 50,812.50 – ? 49,860
= ? 952.50
Then B will get more money than A by ? 952.50.
Question 4.
Ashish deposits a certain sum of money every month is a Recurring Deposit Account for
a period of 12 months. If the bank pays interest at the rate of 11% p.a. and Ashish gets ?
12,715 as the maturity value of this account, what sum of money did money did he pay
every month?
Solution:
Let Installment per month(P) = ? y
Number of months(n) = 12
Rate of interest(r) = 11% p.a.
Maturity value = ? (y × 12) + ? 0.715y = ? 12.715y
Given maturity value = ? 12,715
Then ? 12.715y = ? 12,715
Question 5.
A man has a Recurring Deposit Account in a bank for 3 ½ years. If the rate of interest is
12% per annum and the man gets ? 10,206 on maturity, find the value of monthly
instalments.
Solution:
Let Installment per month(P) = ? y
Number of months(n) = 42
Rate of interest(r) = 12% p.a.
Maturity value= ? (y × 42) + ? 9.03y= ? 51.03y
Given maturity value = ? 10,206
Then ? 51.03y = ? 10206
Question 6.
(i) Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits ? 140
per month for 4 years. If he gets ? 8,092 on maturity, find the rate of interest given by
the bank.
(ii) David opened a Recurring Deposit Account in a bank and deposited ? 300 per month
for two years. If he received ? 7,725 at the time of maturity, find the rate of interest per
annum.
Solution:
(a)
Installment per month(P) = ? 140
Number of months(n) = 48
Let rate of interest(r) = r% p.a.
Maturity value= ? (140 × 48) + ? (137.20)r
Given maturity value = ? 8,092
Then ? (140 × 48) + ? (137.20)r = ? 8,092
? 137.20r = ? 8,092 – ? 6,720
Page 5
Banking (Recurring Deposit Accounts)
Question 1.
Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits ?
600 per month for 20 months. Calculate the maturity value of this account, if the bank
pays interest at the rate of 10% per annum.
Solution:
Installment per month(P) = ? 600
Number of months(n) = 20
Rate of interest(r) = 10% p.a.
The amount that Manish will get at the time of maturity
= ? (600×20) + ? 1,050
= ? 12,000 + ? 1,050
= ? 13,050
Question 2.
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ?
640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays
interest at the rate of 12% per year.
Solution:
Installment per month(P) = ? 640
Number of months(n) = 54
Rate of interest(r)= 12% p.a.
The amount that Manish will get at the time of maturity
= ? (640×54) + ? 9,504
= ? 34,560 + ? 9,504
= ? 44,064
Question 3.
Each of A and B both opened recurring deposit accounts in a bank. If A deposited ?
1,200 per month for 3 years and B deposited ? 1,500 per month for 2 ½ years; find, on
maturity, who will get more amount and by how much? The rate of interest paid by the
bank is 10% per annum.
Solution:
For A
Installment per month(P) = ? 1,200
Number of months(n) = 36
Rate of interest(r) = 10% p.a.
The amount that A will get at the time of maturity
= ? (1,200×36) + ? 6,660
= ? 43,200 + ? 6,660
= ? 49,860
For B
Instalment per month(P) = ? 1,500
Number of months(n) = 30
Rate of interest(r) = 10% p.a.
The amount that B will get at the time of maturity
= ? (1,500×30) + ? 5,812.50
= ? 45,000 + ? 5,812.50
= ? 50,812.50
Difference between both amounts = ? 50,812.50 – ? 49,860
= ? 952.50
Then B will get more money than A by ? 952.50.
Question 4.
Ashish deposits a certain sum of money every month is a Recurring Deposit Account for
a period of 12 months. If the bank pays interest at the rate of 11% p.a. and Ashish gets ?
12,715 as the maturity value of this account, what sum of money did money did he pay
every month?
Solution:
Let Installment per month(P) = ? y
Number of months(n) = 12
Rate of interest(r) = 11% p.a.
Maturity value = ? (y × 12) + ? 0.715y = ? 12.715y
Given maturity value = ? 12,715
Then ? 12.715y = ? 12,715
Question 5.
A man has a Recurring Deposit Account in a bank for 3 ½ years. If the rate of interest is
12% per annum and the man gets ? 10,206 on maturity, find the value of monthly
instalments.
Solution:
Let Installment per month(P) = ? y
Number of months(n) = 42
Rate of interest(r) = 12% p.a.
Maturity value= ? (y × 42) + ? 9.03y= ? 51.03y
Given maturity value = ? 10,206
Then ? 51.03y = ? 10206
Question 6.
(i) Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits ? 140
per month for 4 years. If he gets ? 8,092 on maturity, find the rate of interest given by
the bank.
(ii) David opened a Recurring Deposit Account in a bank and deposited ? 300 per month
for two years. If he received ? 7,725 at the time of maturity, find the rate of interest per
annum.
Solution:
(a)
Installment per month(P) = ? 140
Number of months(n) = 48
Let rate of interest(r) = r% p.a.
Maturity value= ? (140 × 48) + ? (137.20)r
Given maturity value = ? 8,092
Then ? (140 × 48) + ? (137.20)r = ? 8,092
? 137.20r = ? 8,092 – ? 6,720
(b)
Instalment per month(P) = ? 300
Number of months(n) = 24
Let rate of interest(r)= r% p.a.
Maturity value = ? (300 × 24) + ? (75)r
Given maturity value = ? 7,725
Then ? (300 × 24) + ? (75)r = ? 7,725
? 75 r = ? 7,725 – ? 7,200
Question 7.
Amit deposited ? 150 per month in a bank for 8 months under the Recurring Deposit
Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per
annum and interest is calculated at the end of every month?
Solution:
Installment per month(P) = ? 150
Number of months(n) = 8
Rate of interest(r) = 8% p.a.
The amount that Manish will get at the time of maturity
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