Question

as was
is 1250 in one year and 1375 in two
31 The simple interest on a certain sum for 3 years is 225 and the compound interest
on the same sum at the same rate for 2 years is 153. Find the rate of interest and the
principal.
Find the difference between compound interest on 58000 for 15 years at 10% p.a. when
Illu
32​

Answer 1

SOLUTION __Given ; S. 1 . = 225 , N = 2 yrs C = 153 and N = 2 yrs

we know that,,

simple interest = ( P × N × R) / 100.

225 = ( P × 3 × R ) /100

R/100 = 75 / P....( 1 )

C. 1 . = A - P

153 = A - P

using the formula for amount

153= { 1 +R } - P

{ 100 }

= 153 P { 1 + 75 } - 2

{ P }

= 153 P { 1 + 75 } - 2

{ P }

= 153 R { 1 + R } - P

{ 100 }

=153 P { 1 + 75 } -P

{ P }

= 153 P { 1 + 75 } - P

{ P }

=153 P = + 5625 + 150P - P

= 3 P = 5625

= P = 1875 ___

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