Question : Ram loses 12.5% of his money and after spending 75% of the remainder, is left with 630. How much money did Ram have initially?
Option 1: 2,080
Option 2: 2,880
Option 3: 2,205
Option 4: 2,808
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Correct Answer: 2,880
Solution :
Let $x$ be the total money.
Money lost = 12.5% of $x$
Remaining money after losing = 87.5% of $x$
Money spent = 75% of 87.5% of $x$
Money left = 630
According to the question,
25% of 87.5% of $x= 630$
$⇒\frac{25 × 87.5 × x}{100 × 100} = 630$
$\therefore x=\frac{630 × 100 × 100}{25 × 87.5}= 2880$
Hence, the correct answer is 2,880.
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