Question : The printed price of a TV set is INR 14,500. It is sold for INR 10,000 with two consecutive discounts. If the first discount is 10%, then what is the second discount?
Option 1: 23.37%
Option 2: 25.37%
Option 3: 20.37%
Option 4: 27.37%
Correct Answer: 23.37%
Solution :
The marked price of the TV = INR 14,500
Selling price of TV = INR 10,000
First discount percentage = 10%
Let the second discount percentage be $b$%.
Total discount given = $\frac{14500-10000}{14500}\times 100$ = 31.034%
We know final discount after two consecutive discounts of $a$% and $b$% = ($a+b-\frac{a\times b}{100}$)%
So, $31.034 = (10+ b-\frac{10\times b}{100}$)%
⇒ $21.034 = b - 0.1b$
⇒ $b =\frac{21.034}{0.9}$
⇒ $b = 23.37$%
Hence, the correct answer is 23.37%.
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