English

A man has a Recurring Deposit Account in a bank for 312 years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments.

Advertisements
Advertisements

Question

A man has a Recurring Deposit Account in a bank for `3 1/2` years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments.

Sum
Advertisements

Solution

Let instalment per month (P) = Rs. y

Number of months (n) = 42

Rate of interest (r) = 12% p.a.

∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`

= `y xx (42(42 + 1))/(2 xx 12) xx 12/100`

= `y xx 1806/24 xx 12/100`

= Rs. 9.03y

Maturity value = Rs. (y × 42) + Rs. 9.03y = Rs. 51.03y

Given maturity value = Rs. 10,206

Then Rs. 51.03y = Rs. 10206

`\implies` y = `10206/51.03` = Rs. 200

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Banking (Recurring Deposit Account) - Exercise 2 (A) [Page 23]

APPEARS IN

Selina Concise Mathematics [English] Class 10 ICSE
Chapter 2 Banking (Recurring Deposit Account)
Exercise 2 (A) | Q 5. | Page 23

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

A page from the savings bank account of Mrs Ravi is given below.

Date Particulars Withdrawal
(Rs.)
Deposit (Rs.) Balance (Rs.)
April 3rd 2006 B/F     6000
April 7th By cash   2300 8300
April 15th By cheque   3500 11800
May 20th To self 4200   7600
June 10th By cash   5800 13400
June 15th To self 3100   10300
August 13th By cheque   1000 11300
August 25th To self 7400   3900
September 6th
2006
By cash   2000 5900

She closed the account on 30th September 2006. Calculate the interest Mrs Ravi earned
at the end of 30th September 2006 at 4.5% per annum interest. Hence, find the
amount she receives on closing the account.


Virat opened a Savings Bank account in a bank on 16th April 2010. His pass book shows the following entries:

Date Particulars

Withdrawal

(Rs.)

Deposit (Rs.) Balance (Rs.)
April 16, 2010 , By cash - 2500 2500
April 28th By cheque - 3000 5500
May 9th To cheque 850 - 4650
May 15th By cash   1600 6250
May 24th To cash 1000 - 5250
June 4th To cash 500 - 4750
June 30th To cheque - 2400 7150
July 3rd By cash - 1800 8950

Calculate the interest Virat earned at the end of 31st July 2010 at 4% per annum interest. What sum of money will he receive if he closed the account on 1st August 2010?


Shahrukh opened a ‘Recurring Deposit’ account in a bank and deposited Rs. 800 per month for 1½ years. If he received Rs. 15,084 at the time of maturity, find the rate of interest per annum.


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?


Mr. Gulati has a Recurring Deposit Account of Rs. 300 per month. If the rate of interest is 12% and the maturity value of this account is Rs. 8,100; find the time (in years) of this Recurring Deposit Account.


Ms. Chitra opened a saving bank account with SBI on 05.04.2007 with a cheque deposit of Rs 11,000/.Subsequently, she took out Rs 3,200/- on 12.05.2007; deposited a cheque of Rs. 8,800/- on 03.06.2007 and paid Rs 2,000/- by cheque on 18.06.2007.

If the rate of simple interest was 5% pa compounded at the end of March and September, find her balance on 1.04.2008


If Rihanna deposits 1500 rupees in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?


At a certain rate of interest, the interest after 4 years on 5000 rupees principal is 1200 rupees. What would be the interest of 15000 rupees at the same rate of interest for the same period?


Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the end of the period, he had received altogether 17,400 rupees. For how many years had he deposited his money?


Nasruddin and Mahesh invested Rs 40,000 and Rs 60,000 respectively to start a business. They made a profit of 30%. How much profit did each of them make?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×