Question : Shivam purchased two watches, the first for Rs. 12000 and the second for Rs. 16000. He sold both watches, the first one at a profit of 10% and the second at a loss of 10%. What is the overall profit or loss?
Option 1: Profit = Rs. 600
Option 2: Profit = Rs. 200
Option 3: Loss = Rs. 800
Option 4: Loss = Rs. 400
Correct Answer: Loss = Rs. 400
Solution :
For the First watch:
⇒ SP
1
= CP + $\frac{\text{Profit percentage×CP}}{100}$
= 12000 + $\frac{(10×12000)}{100}$ = 12000 + 1200 = Rs. 13200
For the second watch:
⇒ SP
2
= CP – $\frac{\text{Loss percentage × CP }}{100}$ = 16000 – $\frac{(10×16000) }{100}$
= 16000 – 1600 = Rs.14400
⇒ Overall profit or loss = (SP
1
+ SP
2
) – (CP
1
+ CP
2
)
= (13200 + 14400) – (12000 + 16000) = 27600 – 28000 = – 400
Hence, the correct answer is 'Loss = Rs. 400'.
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