Question

A sum amounts to rs 3605 in 219 days at 5% per annum. What is the sum

Answer 1

▶ VITAL TERMS AND DEFINITIONS ◀

✔ PRINCIPAL : The sum of money which is
deposited into or is taken loan from a bank is called as principal.

✔ RATE OF INTEREST : The interest of Rs. 100 for 1 year is called the rate of interest per annum.

✔ TIME : The number of years for which the money is deposited or is taken loan is called as time.

✔ AMOUNT : Sum of total interest and principal is called the amount.

✔ TOTAL INTEREST : The extra or additional money which we have to give the organization (bank) or which the organization (bank) will give us after a fixed time is called the total interest.

______________________________

$\underline\bold{\huge{SOLUTION \: :}}$

______________________________




P = Rs. ?

A = Rs. 3605 [GIVEN]

ALSO, GIVEN THAT :

t = 219 days = (219/365) years = 0.6 years

r = 5 %


We can say,


rate × time = 5 × 0.6 = 3



Also, A = P + I

=> 3605 = P + (Prt/100)

=> 3605 = P (1 + rt/100)

=> 3605 = P ( 1 + 3/100)

=> 3605 = P (103/100)

=> 3605 = 103P/100

=> 103P = 360500

=> P = Rs. (360500/103)

=> P = Rs. 3500

Answer 2

ANSWER :
Given that :

Amount =3605

Time =219 days = (219/365) yrs.

Rate =5%

Let Principal =x

Simple Interest = A-P

=3605-x


P=(SI*100)/(R*T)

= [(3605-x)*100/[5*(219/365)]

=[(3605-x)*100]/3

x=(360500-100x)/3

3x=360500-100x

103x=360500

x=3500

Thus, the sum is Rs. 3500


THEN ANSWER IS 3500 RUPPES