A sum of money lent out at simple interest doubles itself in 8 years find the rate of interest

A sum of money, lent out at simple interst, doubles itself in 8 years. Find : 

(i) the rate of interest 

(ii) in how many years will the sum become triple (three times) of itself at the same rate per cent ?

hello everyone the sum is a sum of money lent out at simple interest Doubles itself in 8 years find the rate of interest and then in how many years will the sum become triple of itself at the same rate percent let's Tata solution some money will become double itself in 8 years and we have to find the rate of interest so let principal is equal to rupees X itself in 8 years so amount after 18 years will become 2x time is 8 years now we know that interest is equal to amount -

principal interest is amount - principal therefore it is 2 x minus x so interest is equal to rupees interest is equal to Pintu are into it upon hundred year interest is equal to x x x x x v have to find rate of interest and time is here a tear upon hundred hundred x upon x is equal to rate of interest after solving this we get our is equal to 12.5% per annum so rate of interest is 12.5% per annum are to be want to find the time when the money will triple itself at the same rate of interest

so hair principal is again Rupees at the amount will become triple itself then amount is equal to rupees CX rate of interest so rate of interest is 12.5% per annum and we want to find the time we know that again interest is equal to amount - principal hair amount is 3x and principal money is egg so interest is rupees 2x we know that interest is equal to p into our into it upon hundred where interest is to a principal is rate of interest is

12.5 and we want to find the time upon hundred now to X X hundred upon 12.5 into x is equal to tea after solving all this week at t is equal to 16 years after 16 years principal money will become triple itself thank you

A sum of money, lent out at simple interest, doubles itself in 8 years. Find :
(i) the rate of interest
(ii) in how many years will the sum become triple (three times) of itself at the same rate percent?

Solution

Let P = Rs.100, A = Rs.200

I = Rs.200 − Rs.100 = Rs.100, T = 8 years

R =`(100xx"I")/("P"xx"T")=(100xx100)/(100xx8)`

`=100/8=25/2%`

Now again P = Rs.100

A = Rs.300

I = Rs.300 − Rs.100 = Rs.200

R = `25/2%`

T =`(100xx"I")/("P"xx"R")=(100xx200)/(100xx25/2)=(100xx200xx2)/(100xx25)`

= 16 Years

So the given sum of money will become triple in 16 years.

Concept: Concept of Principal, Interest, Amount, and Simple Interest

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A sum of money, lent out at simple interest, doubles itself in 8 years. Find: i the rate of interest ii in how many years will the sum become triple three times of itself at the same rate per cent?

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Solution

Let P=Rs. 100 A=Rs. 200 I= Rs. 200 -Rs. 100 =Rs. 100, T= 8 years R=100×IP×T=100×100100×8=1008=252% Now again P= Rs. 100 A=Rs. 300 I=Rs. 300-Rs. 100 =Rs. 200 R=252 % T=100×IP×R=100×200100×252=100×200×2100×25=16years So the given sum of money will become triple in 16 years.

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