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)

Answer 1

Correct option is D. 3800

Let initial sum $$=x$$

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

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

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

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

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

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

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

So the correct answer is (D).