SI

Q. ₹4000 increased to ₹5000 in 8 years for a certain rate of interest. In years ₹1600 will increase to ₹2400 at the same rate.

1. 16
2. 18
3. 20
4. 14

Q.

While battling hydra, Hercules found that for every head that he cut, three heads grew for hydra. After every cut, the number of heads increases. What can be said about this increase?

1. The increase is like that of simple interest

2. The increase is compounded

3. Cannot be determined

4. None of these

Q. If a sum of $\$300$ invested in simple interest for a period of $3$ years earns an interest of $\$18$, then the percentage rate of interest is

1. 2

Q. Sunil lent a sum of money at 4 percent simple interest. In 8 years the interest amounted to Rs.3, 400 less than the sum lent. The sum lent was -

1. Rs.7, 000
2. Rs.5, 700
3. Rs.6, 000
4. Rs.5, 000

Q. In what time will the interest on any sum of money at $10$ percent be $\frac{1}{4}$ of the sum?

1. $5$ years
2. $2\frac{1}{2}$ years
3. $4$ years
4. $2$ years

Q. A sum of money becomes $\frac{7}{6}$ of itself in $3$ years at a certain rate of simple interest. In how many years will the sum become $3$ times of itself at the same rate.

1. $9$ years
2. $12$ years
3. $20$ years
4. $36$ years

Q. A man wants to divide a sum of Rs $37500$ among his son and daughter aged $12$ years and $14$ years respectively in such a way that on attaining the age of $18$ years each gets the same amount at $5\%$ p.a. simple interest. The son's share is :

1. Rs $19500$
2. Rs $20000$
3. Rs $18000$
4. Rs $19000$

Q. If a certain sum of money amounts to $Rs.1760$ in two years and $Rs.2000$ in $5$ years at simple interest, then the sum is:

1. $Rs.1960$
2. $Rs.1590$
3. $Rs.1600$
4. None of these

Q. A page from the Saving Bank Account of Mr. Prateek is given below:

Date	Particulars	Withdrawal (In Rs.)	Deposit (In Rs.)	Balances (In Rs.)
Jan $1^{st}$ $2006$	B/F	-	-	$1,270$
Jan. $7^{th}$ $2006$	By Cheque	-	$2,310$	$3,580$
March $9^{th}$ $2006$	To Self	$2,000$	-	$1,580$
March ${26}^{th}$ $2006$	By Cash	-	$6,200$	$7,780$
June ${10}^{th}$ $2006$	To Cheque	$4,500$	-	$3,280$
July ${15}^{th}$ $2006$	By Clearing	-	$2,630$	$5,910$
October ${18}^{th}$ $2006$	To Cheque	$530$	-	$5,380$
October ${27}^{th}$ $2006$	To Self	$2,690$	-	$2,690$
November $3^{rd}$ $2006$	By cash	-	$1,500$	$4,190$
December $6^{th}$ $2006$	To Cheque	$950$	-	$3,240$
December ${23}^{rd}$ $2006$	By Transfer	-	$2,920$	$6,160$

If he receives Rs. $198$ as interest on $1^{st}$ January, $2007$, find the rate of interest paid by the bank.

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

Date	Particulars	Amount withdrawn (Rs)	Amount deposited (Rs)	Balance (Rs)
$03/04/2006$	B/F	-	-	$4,000.00$
$05/04/2006$	By cash	-	$2,000.00$	$6,000.00$
$18/04/2006$	By cheque	-	$6,000.00$	$12,000.00$
$25/05/2006$	To cheque	$5,000.00$	-	$7,000.00$
$30/05/2006$	By cash	-	$3,000.00$	$10,000.00$
$20/07/2006$	By self	$4,000.00$	-	$6,000.00$
$10/09/2006$	By cash	-	$2,000.00$	$8,000.00$
$19/09/2006$	To cheque	$1,000.00$	-	$7,000.00$

If the interest earned by Priyanka for the period of ending September, $2006$ is Rs. $175$, find the rate of interest (in $\%$).

Q. A sum of money becomes $\frac{41}{40}$ of itself in $\frac{1}{4}$ years at a certain rate of simple interest. What is the rate of interest per annum

1. $12\%$ per annum
   
2. $14\%$ per annum
   
3. $8\%$ per annum
   
4. $10\%$ per annum
   

Q. A milkman borrowed Rs. 2500 from two money lenders. For one loan, he paid 5% p.a. and for the other, he paid 7% p.a. The total interest paid after two years was Rs. 275. Calculate the money he borrowed at 7% interest ?

1. Rs. 1875
2. Rs. 1000
3. Rs.625
4. Rs. 1200

Q. Madhav lent out Rs 7953 for 2 years and Rs 1800 for 3 years at the same rate of simple interest If he got Rs 2343.66 as total interest then find the percent rate of interest

Q. The simple interest of a certain sum of money $Rs.61$ at rate of $5\%$ p.a. for $3$ years is

Q. The simple interest on a certain sum compoudes to Rs. $256$ in $2$ years, whereas the compund interest on the same sum at the same rate and for the same time computes to Rs. $276.48$. Find the rate per cent and the sum.

1. $18\%,Rs.800$
2. $16\%,Rs.800$
3. $14\%,Rs.800$
4. $12\%,Rs.800$

Q. For buying a sofa set. Ipsita borrowed Rs 9000 at 10% per annum for a year. What interest did she have to pay at the end of the year ?

Q. A sum amounts to Rs. $2652$ in $6$ years at $5$% p.a simple interest
Find (a) the sum
(b) the time in which the same sum will double itself at same rate of interest

Q. If the interest on Rs.2, 400 be more than the interest on Rs.2, 000 by Rs. 60 in 3 years at the same rate per cent; find the rate.

1. 2 %
2. 3 %
3. 4 %
4. 5 %

Q. Find the simple interest and the amount when
Principal$=Rs.6400,rate=6\%p.a$ and $time=2years$