Profit and Loss – 06

Question:  Kamya purchased an item for Rs.46,000 and sold it at a loss of 12%.With that amount she purchased another item and sold it at gain of 12%. What was her overall gain/loss? [Allahabad Bank PO, 2011]

(1) Loss of Rs.662.40 (2) Profit of Rs.662.40 (3) Loss of Rs.642.80 (4) Profit of Rs.642.80 (5) None of these

Sol. 

[Detailed Explanation:

First Method: The cost price (CP) is Rs 46000. It is sold at a loss of 12%. 

So, the selling price (SP) is (100-12)% of Rs 46000 = 88% of Rs 46000 = Rs 40480

The article is then again sold at a profit of 12%. So, the selling price (SP) = (100+12)% of Rs 40480 = Rs 45337.60

Therefore,  Loss = Rs 46000 – Rs 45337.60 = Rs 662.40 Ans.

Second Method: When the article is sold at a loss of 12%, 

so the loss is 12% of Rs 46000 = Rs 5520

SP = Rs 46000 – Rs 5520 = Rs 40480

Again, it is sold at a profit of 12%, so the profit is 12% of Rs 40480 = Rs 4857.60

Therefore, loss = Rs 5520 - Rs 4857.60 = Rs 662.40 Ans.

Third Method: When any quantity is changed by x% and y% successively, then the quantity is changed by

Therefore, overall loss = 1.44% of Rs 46000 = Rs 662.40 Ans.