Question

Ram loses 25% of his money . After spending 30% of the remaining amount, he is left with R.2625. How much money did he originally have?

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

Assume

Initially = Rs. p

$\textbf{\underline{He\;loses\;25\;percent\;of\;his\;Money}}$

Hence,

$\textbf{\underline{First \;Situation}}$

$\tt{\rightarrow\dfrac{p}{1}-\dfrac{p\times 25}{100}}$

$\tt{\rightarrow\dfrac{p}{1}-\dfrac{p}{4}}$

Solving it we get :-

$\tt{\rightarrow\dfrac{4p-p}{4}}$

$\tt{\rightarrow\dfrac{3p}{4}}$

$\textbf{\underline{Second \;Situation}}$

$\tt{\rightarrow\dfrac{3p}{4}-\dfrac{3p/4\times 30}{100}=2625}$

$\tt{\rightarrow\dfrac{3p}{4}-\dfrac{9p}{40}=2625}$

Solving it we get :-

$\tt{\rightarrow\dfrac{30p-9p}{40}=2625}$

$\tt{\rightarrow\dfrac{21p}{40}=2625}$

21p = 40 × 2625

21p = 105000

$\tt{\rightarrow p=\dfrac{105000}{21}}$

p = Rs. 5000

Hence,

$\Large{\boxed{\sf\:{Initially\;he\;had\;2625}}}$