Question

The simple interest on a certain sum for 2 years at 10%p.A. Is rs.90.What is the corresponding compound interest?

Answer 1

Answer:

The C.I. is Rs 544.50

Step-by-step explanation:

Principal= x

Time=2 years

Rate=10% p.a.

SI=Rs 90

⇒$\frac{2x X 10}{100}$=90

⇒x=$\frac{90 X 100}{20}$

⇒x= 450.

∴The Principal is Rs 450.

If the same is compounded anually,

 P(1 + $\frac{R}{100}$$)^{n}$

=450(1 + $\frac{10}{100}$$)^{2}$

=450 x $\frac{11}{10}$ x $\frac{11}{10}$

=Rs 544.50

∴ The C.I. is Rs 544.50

Answer 2

Answer:

94.50

Step-by-step explanation:

100×90/2×10= 450

CI = 450×(1+10)^2/100-450

=94.50