Question

the difference between the compound interest for 1years compounded half yearly and the simple interest for 1 year on a certain sum of money at 10%per annunciation is rupees 360 find the sum.​

Answer 1

Answer:

Step-by-step explanation:

Let the principal, P = Rs. x, r = 10%, t = 1 year  

Using S.I. = Prt/100,

S.I. = Rs.(x × 10 × 1)/100 = Rs. x/10

No of conversion period, n = 2 × 1 = 2,

r = 10/2 = 5% per conversion period, P = x,

Using C.I. = P [(1 + r/100)n - 1],

C.I. = x [(1 + 5/100)2 - 1]

= x(21/20 ×21/20 - 1)

= x(441/400 - 1)

= (41/400)x

As per problem, C.I. - S.I. = Rs. 360

Or, Rs.(41/400)x - Rs.x/10 = 360

Or, Rs.(41/400 - 1/10)x = 360

Or, Rs. x/400 = 360

Or, x = Rs. 360 × 400 = Rs. 144000