Question

Anil deposited 20% of his money in a bank at the rate of 5% simple interest per year and then
spend 20% of the remaining on the education of his child. If he has 20000 left with him, find
he simple interest he will get from the bank after 1 year.​

Answer 1

Answer:

Anil will get a SI of ₹312.5

Step-by-step explanation:

$\texttt{Let the total money be ₹x}$

$\texttt{Then, A/q}$

$\therefore \frac{20x}{100}+\frac{4x}{25}+20000=x$

$\implies \frac{20x}{100}+\frac{4x}{25}-x= -20000$

$\implies \frac{20x+16x-100x}{100}=-20000$

$\implies \frac{-64x}{100}=-20000$

$\implies 64x = 20000\times 100$

$\implies 64x = 2000000$

$\implies x=\frac{2000000}{64} \implies x= 31250$

Hence total money = ₹31250

Anil deposited 20% of ₹31250 in bank at 5% p.a. for 1 year.

Money deposited = 20% of ₹31250 = ₹6250

$SI = \frac{P\times R\times T}{100}$

$= \frac{6250\times5\times1}{100}$

$= ₹312.5$