A man owns five flowers pots all of the same value He sells the first pot at 10 profit 2nd at a 16 ...........

Quant (SSC) Profit and loss

A man owns five flowers pots all of the same value. He sells the first pot at 10% profit, 2nd at a 16.66% loss & the 3rd at 25% profit. He sells the last two for rupees 140 & Rs. 78 respectively. After selling all five pots he notice that he has not gained or lost anything on the entire deal. What would his total profit or loss % be if he had sold each pot for rupees 156?

20%

30%

35%

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Explanation:

He sold first pot at 10% profit
Second at 16.66% loss and third at 25% profit
He sold last two (i.e. 4th and 5th) for
4th = Rs. 140; 5th = Rs. 78
let the cost of each pot be x
then Selling price of -
First pot = 110x /100
Second pot = 83.34x /100
Third pot = 125x /100
4th pot = 140; 5th pot = 78.
Total cost of 5 pots = 5x
Their is no profit no loss to that man, so
110x /100 + 83.34x /100 + 125x/100 + 140+78 = 5x
3.18 + 218 = 5x; 1.82x = 218
x = 119.78 ≈ 120.
If all the pot have been sold for Rs. 156 then the profit is
= (156 - 120) × 100 /120 = 30%