Question

After deducting 12% from a certain sum and then deducting 25% from the remainder, 2508 is left, then what is the initial sum?
Single choice (1, 0)

• A. 3500
• B. 3450
• C. 3970
• D. 3800

Answer 1

The correct option is D 3800

Let initial sum $=x$

And after deducing $12\%$ of sum, reminder

$=x-\frac{12}{100}x$

$=\frac{88}{100}x$

And after deducing $25\%$ of reminder, we get

$\frac{88}{100}x-\frac{88}{100}\times \frac{25}{100}x$

$=\frac{88\times 75}{100\times 100}x$

$\begin{array}{cc}\text{Given,}& \frac{88\times 75}{100\times 100}x=2508\\ \Rightarrow x& \Rightarrow 3800=\text{initial sum.}\end{array}$

So the correct answer is (D).