Math, asked by loganathan6684, 1 month ago

a trader sold 20% of his stock at 10% profit and 50% of the reminder of his stock at 10% loss.What should be the rate of profit for sale of the reminder of stock in order that the trader may make an overall profit of 5% over his entire stock?​

Answers

Answered by arshikhan8123
0

Answer:

The profit % on remaining stock  should be 26.67 %.

Step-by-step explanation:

Let the cost of total stock with the trader be x.

Stock sold at profit = 20 % x = 0.2 x

Profit = 10 %

Selling price = 0.2 x + 10 % (0.2 x)

SP = 0.2 x + 0.02 x = 0.22 x

Stock sold at loss = 50 5 x = 0.5 x

Loss = 10 %

SP = 0.5 x - 10 % (0.5 x)

SP = 0.5 x - 0.05 x

SP = 0.45 x.

Total stock sold = 0.2 x + 0.5 x = 0.7 x

Total SP = 0.22 x + 0.45 x = 0.67 x

Remaining stock = x - 0.7 x = 0.3 x

Overall profit that he needs to make = 5 %

Overall SP = x + 5% x = x + 0.05 x = 1.05 x

SP for remaining stock should be = 1.05 x - 0.67 x = 0.38 x

Profit on remaining stock should be = 0.38 x - 0.3 x = 0.08 x

Profit % on remaining stock = (0.08 x / 0.3 x) × 100

Profit % on remaining stock = 26.67 %.

Therefore, the profit % on remaining stock  should be 26.67 %.

#SPJ2

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