Question

A shopkeeper sells two suit cases for rupees 2464 each gaining 12 percent on one and lossing 12 percent on the other. Find the gain or loss percent for the whole transanction

Answer 1

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Answer 2

Answer:

loss percentage for whole transaction is 21$\frac{9}{25}$ %.

Step-by-step explanation:

As per the data given in the question we have to find the gain or loss percent for the whole transaction.

As per the question it is given that A shopkeeper sells two suit cases for rupees 2464 each gaining 12 percent on one and losing 12 percent on the other.

Let us assume that cost price of 1 suit case be x and cost price of suitcase 2 is y.

now, we have

x+12x/100 = 2464

⇒112x = 246400

⇒x = 2200 rupees

y-12y/100 = 2464

⇒88y = 246400

⇒y = 2800 rupees

Therefore, total cost price = x+y = 5000 rupees

Total sp = 2464+2464= 4928 rupees

Profit = Selling Price - Cost Price. Similarly, in the case of loss, the cost price is more than the planned selling price. Profit % = Profit/Cost Price × 100. Loss % = Loss/Cost Price × 100.

Loss percentage = $\frac{CP-SP}{CP}*100$ = 21$\frac{9}{25}$ %

Hence, loss percentage for whole transaction is 21$\frac{9}{25}$ %.

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