Question : Swati sold a bag to Ankita at a gain of 15%. Aashi bought this bag from Ankita for Rs. 24,840. Ankita earned a profit of 20%. At what price would Swati have bought the bag?
Option 1: Rs. 18,500
Option 2: Rs. 18,000
Option 3: Rs. 16,000
Option 4: Rs. 20,000
Correct Answer: Rs. 18,000
Solution :
Let the price Swati bought the bag be $x$.
According to the question,
$x×\frac{100+15}{100}×\frac{100+20}{100}=24840$
$⇒x×\frac{115}{100}×\frac{120}{100}=24840$
$\therefore x =18000$
Hence, the correct answer is Rs. 18,000.
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