Question

Roshan loses 20% of his money after spending 25% of the remainder he has rupees 4800 with him how much did he originally have.

Answer 1

let the original money roshan had is x

given that 1st he spends 25% of the original money

⇒ he spends 25x/100 money = x/4

the remaining money he had after spending is x - x/4 = 3x/4

now he loses 20% of his remaining money

⇒ he loses 3x/4 × 20/100 money = 3x/20

⇒ the remaining money of roshan after losing money is

⇒ (3x/4 - 3x/20) = 12x/20

given that remaining money after losing = 4800

⇒ 12x/20 = 4800

⇒ x = 8000

so the original money roshan had is 8000 Rs/-

Answer 2

$\circ\circ\circ\circ\underline{\fbox{\fbox{\fbox{\fbox{\fbox{\Large{\underline{\textbf{SOLUTION}}}}}}}}}\circ\circ\circ\circ$

$Let,\:he\:has\:origenally\:rupees=x\\\\According\:to\:the\:question,\\\\Money\:he\:losses=20\%\:of\:x\\\\=\frac{20}{100}x=\frac{x}{5}\\\\Remaining=x-\frac{x}{5}=Rs.\:\frac{4x}{5}\\\\Expenditure=25\%\:of\:\frac{4x}{5}\\\\=\frac{25}{100}\times\frac{4x}{5}=Rs.\:\frac{x}{5}\\\\=x-\frac{x}{5}-\frac{x}{5}=4800\\\\\implies\frac{5x-x-x}{5}=4800\\\\\implies3x=4800\times5\\\\\implies x=\frac{4800\times5}{3}\\\\=\boxed{\boxed{8000\:answer}}$