A merchant earns 25 profit in general Once his 25 consignment was abducted forever by some goondas T...........

Quant (SSC) Profit and loss

A merchant earns 25% profit in general. Once his 25% consignment was abducted forever by some goondas. Trying to compensate his loss he sold the rest amount by increasing his selling price by 20%. What is the new percentage of profit or loss?

12.5%

14.5%

16.8%

18.5%

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Explanation:

Method 1: Suppose he buys 100 goods at Re. 1 each.
Therefore CP of 100 itmes = Rs. 100
It's further given that 25% i.e. 25 goods are abducted,
so he is left with 75 goods.
Therefore, SP of the remaning 75 goods at 25% profit
= 75 × 125/100 × 1 = 5 x 75/5
From here, he increases his selling price by 20%.
So, New S.P of 75 goods = 120 × 5 × 75 /100 x 5 = 112.5
i.e. Now overall the merchant has profit of 12.5% only.