Question

A bicycle is sold for Rs. 490 at a loss of 12 1/2 %, what will be the loss or gain percent by selling it for Rs. 596.40​

Answer 1

Answer:

Let the C.P. be Rs. x.  

Then, 900−x=2(x−450)

⇒900−x=2x−900

⇒3x=1800

⇒x=600

i.e., C.P. = Rs. 600, Profit =25 %

∴ S.P. of the article = Rs. (  

100

600×125

​  

)= Rs. 750.

 

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Step-by-step explanation:

Answer 2

Given:-

S.P. = ₹490
Loss(%) = 12.5%

First, we have to find C.P.(What the shopkeeper purchased the bicycle for):
(125/100)*x = 490
1.25x = 490
x = 490/1.25
x = ₹392

Now that we have the original price of the bicycle, we can find the gain(%), as 596.40 > 392 :

596.40 - 392 = 204.40
Hence profit will be ₹204.40, now to find the gain%:

240/392 * 100
=61.2244%
Gain percentage = 61%(rounded)

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