Question

a dealer sold two machines at 2400 on selling one machine he gain 20% and on selling The other he lost 20% find the dealers net gain or loss percent​

Answer 1

Answer

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Hint- Here, in this question, two items have been sold by the shopkeeper with the same SP but different CPs, so we need to calculate the net gain or loss and consequently the gain or loss per cent. We need to apply the formula for the profit per cent and the loss per cent respectively for the two different cases.

Complete step by step solution:

For the first TV, substitute SP = Rs 2,400 and profit = 20% in the formula Profit%=SP−CPCP×100

to determine the cost price for the shopkeeper for the first TV as:

20=2400−CP1CP1×1002400−CP1=0.20CP11.20CP1=2400CP1=24001.20=2000

Now, for the second TV, substitute SP = Rs 2,400 and loss = 20% in the formula Loss\% =CP−SPCP×100 to determine the cost price for the shopkeeper for the second TV as:

20=CP2−2400CP2×100CP2−2400=0.20CP20.8CP2=2400CP2=24000.8=3000

The total cost price of both TVs is:

CP=CP1+CP2=2000+3000=5000

Also, Total SP is calculated as:

SP=SP1+SP2=2400+2400=4800

Since Total SP is smaller than the total CP, there will be a loss which is calculated as:

Loss=CP−SP=5000−4800=200

Now, substitute CP=5000 and SP=5000 in the formula Loss%=CP−SPCP×100 to determine the loss per cent to the shopkeeper as:

Loss