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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