English

Haneef has a cumulative bank account and deposits Rs. 600 per month for a period of 4 years. If he gets Rs. 5880 as interest at the time of maturity, find the rate of interest.

Advertisements
Advertisements

Question

Haneef has a cumulative bank account and deposits Rs. 600 per month for a period of 4 years. If he gets Rs. 5880 as interest at the time of maturity, find the rate of interest.

Sum
Advertisements

Solution

Interest = Rs. 58800

Monthly deposit (P) = Rs. 600

Period (n) = 4years or 48months

∴ Deposit for 1month

= `("P"("n")("n" +1))/(2)`

= `(600 xx 48 xx 49)/(2)`

= Rs. 705600

Let, rate of interest = r % p.a.

Interest

= `"Prt"/(100)`

⇒ 5880 = `(705600 xx "r" xx 1)/(100 xx 12)`

5880 = 588r

∴ r = `(5880)/(588)` = 10

∴ Rate of interest = 10% p.a.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Banking - Chapter Test [Page 25]

APPEARS IN

Nootan Mathematics [English] Class 10 ICSE
Chapter 2 Banking
Chapter Test | Q 4. | Page 25

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Mr. Sen has a savings bank account with a post office.
(i) calculate the interest earned by Mr. Sen during the year 2010 at 6.5% per annum payable in December if the entries during the year in his passbook are as given below: 

Date Particulars Withdrawals (Rs) Deposits (Rs)
2.1.10 By cash   250.00
9.1.10 By Cheque   825.00
13.3.10 To Cash 325.00  
24.7.10 By Cash   1,237.00
6.10.10 To Cheque 250.00  
22.12.10 By Cheque   958.00

(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of Rs. 10.


Ms. Saha opened a cumulative deposit account of monthly instalment of Rs 1,200 at 9%p.a simple interest. She earned a total interest of Rs 5,328. How much installments did she pay?


Naseem has a 5 years Recurring Deposit account in Punjab National Bank and deposit? Rs. 240 per month. If she receives Rs. 17,694 at the time of maturity find the rate of interest.


Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.


A page from the saving bank account of Priyanka is given below:

Date Particulars Amount
withdrawn(₹)
Amount deposited
(₹)
Balance
(₹)
3/4/2006 B/F - - 4,000·00
5/4/2006 By Cash - 2,000·00 6,000·00
18/4/2006 By cheque - 6,000·00 12,000·00
25/5/2006 To cheque 5,000·00 - 7,000·00
30/5/2006 By cash - 3,000·00 10,000·00
20/7/2006 By self 4,000·00 - 6,000·00
10/9/2006 By cash - 2,000·00 8,000·00
19/9/2006 To cheque 1,000·00 - 7,000·00

If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, find the rate of interest.


Shweta deposits Rs. 350 per month in a recurring deposit account for one year at the rate of 8% p.a. Find the amount she will receive at the time of maturity.


Ankita started paying Rs 400 per month in a 3 years recurring deposit. After six months her brother Anshul started paying Rs 500 per month in a `2(1)/(2)` years recurring deposit. The bank paid 10% p.a. simple interest for both. At maturity who will get more money and by how much?


Rajiv Bhardwaj has a recurring deposit account in a bank of Rs 600 per month. If the bank pays simple interest of 7% p.a. and he gets Rs 15450 as maturity amount, find the total time for which the account was held.


₹ 800 per month is deposited in an R.D. account for one and half years. If the depositor gets ₹ 2,280 as interest at the time of maturity, the rate of interest is ______.


In a recurring deposit account, Mohit deposited ₹ 5,000 per month for one year and at maturity gets ₹ 67,500; the total interest earned is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×