A fruit seller buys some oranges and by selling 40 of them he realizes the cost price of all the ora...........

Quant (SSC) Profit and loss

A fruit-seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is

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Explanation:

1^st Scenario:
Let he bought 100 oranges for 100 rupees
∴ CP = 100/- (Rs 1/- for each orange)
Now, SP of 40 oranges = 100/- (equal to the total cost)
∴ Profit % he earned = 100 - 40 /100 × 100% = 150%
2^nd Scenario:
New, 80% of the remaining oranges = 80/100 x 60 = 48 oranges
SP of 48 oranges with half the profit he earned earlier
= (100 + Gain%) /100 x CP
= 175/100 x 48 = 84
(Gain% = As per the question the gain percent in 2nd Scenario is half of the previous profit %)
Total CP = 100/-
Todal SP = 100 + 84 = 184/-
∴ Profit % = 184 - 100 /100 × 100% = 84%