Question

A coffee table is sold for Rs. 11650 at a
profit of 20%. Find the cost price of the
coffee table?
​

Answer 1

Step-by-step explanation:

Let the C. P. be x

x + x of 20%

= 6x/5

A/q,

=> 6x/5 = 11,650

=> x = 11,650*5/6

=> x = 9708.33 (approx.)

Answer 2

The cost price of the coffee table = Rs. 9708.33

Given :

A coffee table is sold for Rs. 11650 at a profit of 20%.

To find :

The cost price of the coffee table

Solution :

Step 1 of 2 :

Form the equation to find the cost price of the coffee table

Let the cost price of the coffee table = Rs. C

Now it is given that coffee table is sold for Rs. 11650 at a profit of 20%

By the given condition

$\displaystyle \sf{ C + \bigg(C \times \frac{20}{100} \bigg) = 11650}$

Step 2 of 2 :

Find the cost price of the coffee table

$\displaystyle \sf{ C + \bigg(C \times \frac{20}{100} \bigg) = 11650}$

$\displaystyle \sf{ \implies C + \frac{C}{5} = 11650 }$

$\displaystyle \sf{ \implies \frac{5C + C}{5} = 11650 }$

$\displaystyle \sf{ \implies \frac{6C}{5} = 11650 }$

$\displaystyle \sf{ \implies C= 11650 \times \frac{5}{6} }$

$\displaystyle \sf{ \implies }C = \: 9708.3333333...$

$\displaystyle \sf{ \implies }C \approx \: 9708.33$

Hence cost price of the coffee table = Rs. 9708.33

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