Question

A person purchased a cupboard and a cot for Rs. 19,200. He sold the cupboard at a profit of 23% and the cot at a profit of 39%. If his total profit was 27.833%; find the cost price of the cupboard .​

Answer 1

Answer:

19,200. He sold the cupboard at a profit of 23% and the cot at a profit of 39%. If his total profit was 27.833%; find the cost price of the cupboard? Profit on selling the cot = 39%.

Answer 2

Answer:

The cost price of the cupboard is equal to Rs.13400.

Step-by-step explanation:

Consider that 'x' and 'y' are the cost price of the cupboard and cot respectively.

Given,

The total cost price of a cupboard and a cot = Rs.19200

$x+y =19200$                                                                             ..............(1)

Given, the profit on selling cupboard = 23%

Profit on selling the cot = 39%

The total profit earned on both things = 27.833%

We know that Profit % = (Profit/CP)×100

$Profit =\frac{(Profit \; \%)(CP)}{100}$

$x\times\frac{23}{100}+ y\times\frac{39}{100}=19200\times\frac{27.833}{100}$

$23x +39y=534393.6$                                                             .................(2)

Multiple the equation (1) with 23 and subtract from (2);

$23x+39y-23x-23y=534393.6-441600$

$16y=92793.6\\y=5799.6$

$y= Rs. 5800$

Substitute the value of 'y' in equation (1);

$x= 19200-5800$

$x= Rs.13400$

Therefore, the cost price of the cupboard is equal to Rs.13400 and the cost price of the cot is Rs.5800.

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