Question 1. Find the simple interest and amount on:
i) Rs. for
years at
per annum
ii) for
years
months at
per annum
iii) Rs. for
months at
per annum
iv) for
days at
per annum
Answer:
i) Rs. for
years at
per annum
year
year
Rs.
Amount Rs.
ii) for
years
months at
per annum
Rs.
year
Rs.
Amount Rs.
iii) Rs. for
months at
per annum
Rs. ,
Months
years
S.I.
Rs.
Amount Rs.
iv) for
days at
per annum
latex R= 6 $
days
years
Rs.
Amount Rs.
Question 2. Find the simple interest on Rs. from 18th October, 2006 to 13th march, 2007 at
per annum. Also find the amount.
Answer:
Rs.
18 Oct.to 13 March
years
Rs.
Amount Rs.
Question 3. Ashish lent Rs. to Mark at
per annum simple interest. After
years, Mark discharged the debt by giving a watch and Rs.
in cash. What is the value of the watch?
Answer:
Rs.,
,
years
Rs.
Amount Rs.
The value of watch Rs.
Question 4. In what time will the simple interest on Rs. be Rs.
at
per annum?
Answer:
Rs.,
.5,
We are requires to compute time in years.
years or 2 years 4 months
Question 5. In how much time will Rs. amount to Rs.
, when money is worth
per annum simple interest?
Answer:
Amount Rs.,
Rs.
Rs
years or 4 years 3 months
Question 6. At what rate per cent per annum will Rs. amount to Rs.
in
years?
Answer:
Rs, Amount
Rs,
years
years
We have to compute rate of interest
… … … … … i)
Rs.
Substituting the value of in Equal i) we get
Question 7. At what rate per cent per annum will the simple interest on Rs. be Rs.
in
years
months?
Answer:
Rs.,
Rs.
Time year
months
years
year
We have to compute .
Question 8. At what rate per cent of simple interest will a sum of money double itself in years?
Answer:
Principle Amount
S.I.
Time years
We have to compute
years 4 months
Question 9. Simple interest will a sum is of the sum. Find the rate per cent and the time if both are numerically equal.
Answer:
Let Principle Rs.
Numerical
We have to compute .
Per annum,
years
Question 10. What sum will yield Rs. as simple interest in
year
months at
per annum?
Answer:
Rs.
year
months
years
We are required to compute
Rs.
Question 11. What sum will amount to Rs. in
years at
per annum simple interest?
Answer:
Amount Rs. ,
years,
We have to compute
Rs.
Question 12. A sum of money becomes of itself in
years at certain rate of simple interest. Find the rate of interest.
Answer:
Let Rs. , Amount = Rs.
Time
years
We have to compute rate of interest .
p.a.
Question 13. What sum of money lent at
per annum will produce the same interest in
years as Rs.
produces in
years at
per annum?
Answer:
Consider
Rs.,
,
years
Rs.
Now we have to compute if
years,
and
Rs.
Rs.
Question 14. If Rs. amount to
Rs. in
years at simple interest, what will
Rs. amount to in
years at the same rate?
Answer:
First compute for
Rs.,
Rs.,
Years
Rs.
Now for Rs.
p.a.
Now for ,
Rs.,
years
Rs.
Rs.
Question 15. A sum of money lent at simple interest amounts to Rs. in
years and
Rs. in
years. Find the sum and the rate of interest.
Answer:
Given:
(1) Rs.,
years
(2) Rs.,
years
and
are the same in both the above area from the data given in (i)
… … … …. … i)
From data given in (ii)
… … … …. … i)
Divide equation (i) by equation (ii)
From data set (i)
Rs.
p.a.
Question 16. lends
Rs. to
and certain sum to
at the same time at
per annum simple interest. If after
years, a altogether receives
Rs. as interest from
and
find the sum lent to
.
Answer:
For ,
Rs.,
p.a. and,
years
S.I. due from
Rs.
Total interest received from both &
Rs.
Total interest received from
Rs.
Now we have to compute sum rent to
Rs.,
years, R
p.a.
Therefore,
Rs.
The amount lent by to
Rs.
Question 17. The simple interest on a certain sum for years at
per annum is
Rs. more than the simple interest on the same sum for
years at
per annum. Find the sum.
Answer:
for a sum
, for;
years,
p.a.
…………………(i)
for a sum
, for,
years,
p.a.
………………………ii)
Rs.
The sum Rs.
Question 18. Two equal sums of money were lent at simple interest at p.a. for
years and
years respectively. If the difference for two periods was
Rs., find each sum.
Answer:
for sum
,
,
year
in the S.I.for sum
,
,
years
Given Rs.
Rs.
The equal sums are Rs. each
Question 19. Divide Rs. into two parts so that the simple interest on the first pat for
months at
per annum is equal to the simple interest on the second part for
years at
per annum.
Answer:
Let Rs. be one part of the sum, then
be other part of sum.
is the
on
Rs. , for
months
years, at
is
on
for
,
years
Rs.
The Two Parts are: Rs. and
Rs.
Question 20. Divide a sum of Rs. into two parts such that if one part be lent at
per annum for
years
months and the other at
per annum for
years
months, the total interest received is
Rs.
Answer:
Let Rs. be the first part of the sum.
Then becomes the second part of the sum.
is the interest of
,
,
years
months
years
is the interest on
,
p.a.
year
months
years
Given,
The one part of sum is Rs. and second part
Rs.
Question 21. In what time will a sum of money lent at
simple interest become
times of itself.
Answer:
Let be the sum lent. Amount
,
We have to compute
years
Question 22. A certain sum of money lent out at
p.a. produced the same simple interest in
years as Rs.
lent out at
p.a. for
years. Find the sum.
Answer:
Let be the sum lent.
,
years
be the simple interest earned
Le be the
S.I. for Rs.,
,
p.a.
Given,
Rs.
The sum lent is Rs.
Question 23. Naveen and Praveen borrowed Rs. and
Rs. respectively for
years at the same rate of interest. If Praveen has to pay
Rs. more than Naveen, find the rate of interest.
Answer:
Let be the rate interest
be the S.I.paid by Naveen,for
Rs.,
years
years,
be the S.I.paid by Praveen for
Rs.,
years
years,
Given
i.e.
p.a.
Question 24. A sum of money was put at simple interest at a certain rate for years. If this sum had been put at
higher rate, it would have earned
Rs. more as interest. Find the sum.
Answer:
Let be the sum lent
is interest for sum
, Rate interest
and
years
Let is the interest for sum
for interest rate
Given,
Sum lent is Rs.
Question 25. A sum of money invested at p.a. simple interest for a certain period of time yield
Rs. as interest. If this sum had been invested for
years more, it would have yielded
as interest. Find the sum.
Answer:
Let sum lent is ,
,
years
Given, Rs.
… … … … … (i)
For sum ,
,
years,
is the S.I.
From (i) ,
The sum Rs.
Very helpful, thank you.
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its a very useful website thanks for making it
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It is a very good & very simple to see solutions or else in other websites it would ask you to open a new account & log in,it will waste time a lot. 👌
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Appreciate your comment…. our objective is to have superior user experience
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questions are wrong. rates and amounts are wrong. kindly correct it
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could you point out the question that you are referring to. there might me typing errors.
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Very very helpful …… and keep doing it….
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