A trader loses 20 by selling 45 oranges for Rs 40 How many oranges should be sold for Rs 24 so at to...........

Quant (SSC) Profit and loss

A trader loses 20% by selling 45 oranges for Rs. 40. How many oranges should be sold for Rs. 24 so at to gain 20% in the transaction?

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Explanation:

Loss% = 20% and profit% = 20%
By the short trick approach, we get
New SP of an orange = 100 + Profit %/ 100 – Loss % × Old SP of an orange
= 100 + 20 /100 – 20 x 40/20
= 120/80 x 40/45 = 12/9
Or,
= 12 x 2 /9 x 2 = 24/18
Hence, 18 oranges for Rs. 24 to be sold to gain 20% as profit.