Question

by selling a television set for rupees 4500 a dealer suffers a loss 10%. find the cost price of the television

Answer 1

given sp = 4500 so loss percent = 10
so loss = loss percent × so
so loss = 10/100×4500
loss = 450
so cp= sp-loss
cp = 4500-450
cp = 4050

Answer 2

The cost price of the television = Rs. 5000

Given :

By selling a television set for Rs. 4500 a dealer suffers a loss 10%

To find :

The cost price of the television

Solution :

Step 1 of 2 :

Form the equation to find the cost price of the television

Let the cost price of the article = Rs. C

Now it is given that by selling a television set for rupees 4500 a dealer suffers a loss 10%

By the given condition

$\displaystyle \sf{ C - \bigg(C \times \frac{10}{100} \bigg) = 4500}$

Step 2 of 2 :

Find the cost price of the television

$\displaystyle \sf{ C - \bigg(C \times \frac{10}{100} \bigg) = 4500}$

$\displaystyle \sf{ \implies C - \frac{10C}{100} = 4500 }$

$\displaystyle \sf{ \implies \frac{100C - 10C}{100} = 4500 }$

$\displaystyle \sf{ \implies \frac{90C}{100} = 4500 }$

$\displaystyle \sf{ \implies C= 4500 \times \frac{100}{90} }$

$\displaystyle \sf{ \implies C= 50 \times 100 }$

$\displaystyle \sf{ \implies C= 5000 }$

Hence cost price of the article = Rs. 5000

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