20. A person sold two shirts each for 1880. On one he
gained 10% and on the other he lost 20%. What is the
overall profit or loss percentage?
(A) 55% profit
(B) 5.5% loss
(C) 7.36% profit
(D) 7.36% loss
Answers
Answer:
D . 7.36 % loss .
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Given :
- Selling Price = Rs.1880
- Gain on one = 10%
- Loss on other = 20%
To find :
- overall profit or loss percentage
Solution :
⇒ Let's find the Cost Price of both the Shirts.
Cost Price = 100/100 + Profit x S.P
= 100/100 + 10 x 1880
= 100/110 x 1880
= 188000/110
= 1709.09
Cost Price = 100/100 - Loss x S.P
= 100/100 - 20 x 1880
= 100/80 x 1880
= 188000/100
= 2350
⇒ Let's add the Total Cost Price and Selling Price.
Total Cost Price = 1709.09 + 2350
= 4059.09
Total Selling Price = 1880 + 1880
= 3760
⇒ Let's find the Profit or Loss Percentage.
Since,
- C.P ≥ S.P {It is Loss}
Loss = C.P - S.P
= 4059.09 - 3760
= 299.09
⇒ Now, let's find the Loss Percentage.
Loss Percent = Loss x 100/C.P
= 299.09 x 100/4059.09
= 7.36%
Therefore, the 7.36% loss is the right answer.