Question

find compound interest and amount of rupees 9000 for 2 year 4 month at ten percent per annum compounded annually

Answer 1

first we will find CI for 2 years
if p is 9000 rs
rate is 10%
and compounded annually
formula for amount when compounded annually is
$p(1 + \frac{r}{100} ) ^{n}$
$9000(1 + \frac{10}{100} ) ^{2}$
the first image is after this.
hence,CI for 2 yrs is 1890 and amount is 10890




NOW WE WILL FIND SI FOR 4 MONTHS
the new p will be 10890rs
si for 4 months is PRT/100
so 10890×10×4/100×12


SI FOR 4 MONTHS IS 363 'RS

NOW WE WILL FIND TOTAL INTEREST
=SI+CI
363+1890
=2253
TOTAL AMOUNT=TOTAL INTEREST +FIRST PRINCIPAL
2253+9000
11253RS





hence compound INTEREST for 2 yrs and 4 month is 2253 and amount is 11253rs

Answer 2

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