Question 83

After deducting 12% from a certain sum and then deducting 25% from the remainder, 2508 is left, then what is the initial sum?

Solution

Let initial sum = $$100x$$

After deducting 12%, sum left = $$\frac{(100-12)}{100}\times100x=88x$$

Similarly, after deducting 25%, sum left = $$\frac{75}{100}\times88x=66x$$

According to ques,

=> $$66x=2508$$

=> $$x=\frac{2508}{66}=38$$

$$\therefore$$ Initial sum = $$100\times38=3800$$

=> Ans - (D)

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