A discount series of 15 20 and 30 is equal to a single discount of ........

Quantitative Aptitude (CPO) Profit and loss

A discount series of 15%, 20% and 30% is equal to a single discount of:

50%

47.6%

52.8%

52.4%

To find the equivalent single discount of successive discounts, use this formula:

$$ \text{Effective Discount} = 1 - (1-d1)(1-d2)(1-d3) $$

- Apply each discount successively:

- Start with a base price of 1 (100%).

- First discount of 15%: Remaining = 0.85.

- Next, 20% on 0.85: Remaining = 0.80 * 0.85 = 0.68.

- Then, 30% on 0.68: Remaining = 0.70 * 0.68 = 0.476.

- The effective price is 0.476, or 47.6% of the original.

- Therefore, the single discount is $1 - 0.476 = 52.4\%$.

- Correct Answer: Option 4, 52.4%

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