Question : The marked price of an article is INR 28,000. It can be sold in one of the following ways:
Way A: A single discount of 24%.
Way B: Two successive discounts of 16% and 10%.
Which way will have the lowest selling price and what will be the value of it?
Option 1: Way A, INR 21,168
Option 2: Way B, INR 21,280
Option 3: Way A, INR 21,280
Option 4: Way B, INR 21,168
Correct Answer: Way B, INR 21,168
Solution :
Given: The marked price of an article is INR 28,000.
Use the formula, $SP=(1-\frac{d_1}{100})\times (1-\frac{d_2}{100})\times MP$ where $SP, d_1, d_2$ and $MP$ are the selling price, the discount percentages, and the marked price.
For the Way A,
$SP=1–\frac{24}{100}\times 28000$
⇒ $SP=\frac{100–24}{100}\times 28000$
⇒ $SP=\frac{76}{100}\times 28000=$ INR 21,280
For the Way B,
$SP=(1–\frac{16}{100})\times(1–\frac{10}{100})\times 28000$
⇒ $SP=\frac{100–16}{100}\times\frac{100–10}{100}\times 28000$
⇒ $SP=\frac{84}{100}\times \frac{90}{100}\times28000=$ INR 21,168
Way B with a selling price of INR 21,168 is lower than Way A.
Hence, the correct answer is Way B, INR 21,168.
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