Question : A single discount of 48 percent is given on Rs. 1080. If two successive discounts of 25 percent and 20 percent are given, then what will be the difference between the selling prices?
Option 1: Rs. 72.5
Option 2: Rs. 65.8
Option 3: Rs. 80.8
Option 4: Rs. 86.4
Correct Answer: Rs. 86.4
Solution :
Selling Price = Original Price – (Original Price × $\frac{\text{Discount %}}{100}$)
Single discount of 48% on Rs. 1080:
⇒ Selling Price = 1080 – (1080 × $\frac{48}{100})$
⇒ Selling Price = 1080 – 518.4
$\therefore$ Selling Price = Rs. 561.6
Successive discounts of 25% and 20% on Rs. 1080:
⇒ Selling Price = 1080 – (1080 × $\frac{25}{100}$) – ((1080 – (1080 × $\frac{25}{100}$))× $\frac{20}{100}$
⇒ Selling Price = 1080 – 270 – (810 × $\frac{20}{100}$)
⇒ Selling Price = 1080 – 270 – 160
$\therefore$ Selling Price = Rs. 648
Difference = Selling Price with a single discount – Selling Price with successive discounts
⇒ Difference = Rs. 561.6 – Rs. 648 = Rs. 86.4
Hence, The correct answer is Rs. 86.4.
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