Question : After successive discounts of 10% and 5%, an article was sold for Rs.342. What was the original price of the article?
Option 1: Rs. 400
Option 2: Rs. 342
Option 3: Rs. 300
Option 4: Rs. 442
Correct Answer: Rs. 400
Solution :
Let the original price of the mobile be Rs. $x$.
Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
Discount = $(10+5-\frac{50}{100}$)% = 14.5%
Selling price of the article
=
$\frac{100-\text{Discount}\ \%}{100}$ × original price
⇒ $342 = \frac{100-14.5}{100} \times x$
⇒ $342 = \frac{85.5}{100} \times x$
⇒ $x = \frac{342 \times 100}{85.5}$
$\therefore x= 400$
Hence, the correct answer is Rs. 400.
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