Question

Medha deposited 20% of her money in a bank. After spending 20% of the remainder, she has 4800 left with her. How much did she originally have?
Pls answer with easy steps I will mark u as brainliest

Answer 1

first off, let's convert the 20% to a fraction, so we can do so by simply dividing the percentage form by 100, 20/100 = 1/5, so 20% of whatever is really just 1/5 of that.

let's say the total amount is "x".

she deposited 1/5 of "x" in the bank, so she was left only holding

$\bf x-\cfrac{1}{5}x\implies \cfrac{4}{5}x$

then she spent 1/5 of that remainder, and that happened to be 4800 bucks.

how much is 1/5 of (4/5)x?   well is simply their product.

$\bf \stackrel{\textit{remainder}}{\cfrac{4}{5}x}~~-~~\stackrel{\textit{one fifth of the remainder}}{\left(\cfrac{4}{5}x\cdot \cfrac{1}{5} \right)}~~=~~\stackrel{\textit{and that is}}{4800} \\\\\\ \cfrac{4x}{5}-\cfrac{4x}{25}=4800\implies \stackrel{\textit{multipliying both sides by }\stackrel{LCD}{25}}{25\left( \cfrac{4x}{5}-\cfrac{4x}{25} \right)=25(4800)} \\\\\\ 20x-4x=120000\implies 16x=120000\implies x=\cfrac{120000}{16}\implies x=7500$