Question

A man lendsacertain sum of moneyat simple interest. Rate of interest for first one and a half years is 8%, fornext 6 months is 10%, for next 10 months is 12% after that 4%. If he received Rs. 11200 at the end of 4 years and 1 months, Find the capital.​

Answer 1

Let capital(p) be x

also, r¹=8%, r²=10%, r³=12%, r⁴=4%

t¹=1½=3/2, t²=6/12=1/2, t³=10/12=5/6

t⁴=15/12

A=11200

Now,

S.I.¹ = p×r¹×t¹/100

= (x×8×3)/2×100

=3x/25

In similar way,

S.I.²=x/20

S.I.³=x/10

S.I.⁴=x/20

Now,

A= S.I.¹+S.I.²+S.I.³+S.I.⁴+p

11200=3x/25 + x/20 + x/10 + x/20 + x

11200=32x/100

x=(11200×100)/132

=8,484.8484...

So,capital = Rs.8,484.85