Question : A double bed is marked at Rs. 7,500. The shopkeeper allows successive discounts of 8%, 5%, and 2% on it. What is the net selling price?
Option 1: Rs. 6,500
Option 2: Rs. 6,000
Option 3: Rs. 6423.90
Option 4: Rs. 6500.50
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Correct Answer: Rs. 6423.90
Solution :
We know,
$\text{Single discount}=(a+b-\frac{a×b}{100}$)%
Where $a,b$ are successive discounts.
$\therefore$ Single equivalent discount of two successive discounts of 8% and 5% $=8+5- \frac{8×5}{100}=13-0.4=12.6$%
Now, the single equivalent discount of two successive discounts of 12.6% and 2% $=12.6+2-\frac{12.6×2}{100}=14.6-0.252=14.348$%
The double bed is marked at Rs. 7500.
So, Selling price $=7500×\frac{100-14.348}{100}=7500×\frac{85.652}{100}$ = Rs. $6423.90$
Hence, the correct answer is Rs. 6,423.90.
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