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Question

A and B are two vendors selling tomatoes A man came to vendor A and purchased $1$ kg tomatoes for $\text{Rs. }25$ and now came to vendor B and asked for the price of tomatoes and vendor B replied $1.5$ kg tomatoes for $\text{Rs. }20$ sir. What is the percentage of loss incurred to the man by purchasing tomatoes from vendor A?

2016-12-21 12:08:30

Sandeep Kumar
1 Answer

Cost price of $1$ kg tomatoes (if purchased from A)

$=25$

Cost price of $1$ kg tomatoes (if purchased from B)

$=\dfrac{20}{1.5}=\dfrac{40}{3}$

So, loss in purchasing $1$ kg tomatoes from vendor A

$=25-\dfrac{40}{3}=\dfrac{35}{3}$

Required loss percentage

$=\dfrac{\left(\dfrac{35}{3}\right)}{25}×100=\dfrac{140}{3}\%$

$=25$

Cost price of $1$ kg tomatoes (if purchased from B)

$=\dfrac{20}{1.5}=\dfrac{40}{3}$

So, loss in purchasing $1$ kg tomatoes from vendor A

$=25-\dfrac{40}{3}=\dfrac{35}{3}$

Required loss percentage

$=\dfrac{\left(\dfrac{35}{3}\right)}{25}×100=\dfrac{140}{3}\%$