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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?
Rs.18,500
Rs.18,000
Rs.16,000
Rs.20,000
- Swati sold the bag to Ankita at a gain of 15%.
This means that Swati sold the bag for 115% of her purchase price.
- Ankita then sold the bag to Aashi for Rs. 24,840, with a profit of 20%.
This means Ankita's selling price to Aashi = 120% of Ankita's cost price.
- Let's calculate Ankita's cost price:
Ankita’s selling price (24,840) is 120% of her cost price.
So, Ankita’s cost price = 24,840 / 1.20 = Rs. 20,700.
- Swati sold the bag to Ankita at a 15% gain.
Therefore, Swati’s selling price (Ankita's cost price of Rs. 20,700) is 115% of Swati’s cost price.
- Swati’s cost price = 20,700 / 1.15 = Rs. 18,000.
- Option 2: Rs. 18,000 is the correct price at which Swati bought the bag.
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