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Aruna purchases a certain number of apples for INR 20 each and a certain number of mangoes for INR 25 each. If she sells all the apples at \(10 \%\) profit and all the mangoes at \(20 \%\) loss,…

Question and options

Aruna purchases a certain number of apples for INR 20 each and a certain number of mangoes for INR 25 each. If she sells all the apples at 10%10 \% profit and all the mangoes at 20%20 \% loss, overall she makes neither profit nor loss. Instead, if she sells all the apples at 20%20 \% loss and all the mangoes at 10%10 \% profit, overall she makes a loss of INR 150. Then the number of apples purchased by Aruna is
  1. 70
  2. 20
  3. 60
  4. 50

Answer and explanation

Correct answer: D - 50

Aruna bought 5050 apples. For aa apples and mm mangoes, the break-even sale gives 2a=5m2a=5m, and the loss-making sale gives 4a−2.5m=1504a-2.5m=150. Substituting m=0.4am=0.4a gives 3a=1503a=150, while 2020 is the resulting number of mangoes.

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  • IPMAT Indore

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