Question

A person purchased a cupboard and a
cot for Rs. 18,000. He sold the cupboard
at a profit of 20% and the cot at a profit
of 30%. If his total profit was 25.833%.
find the cost price of the cupboard.​

Answer 1

Given:

Total money used to buy cupboard and cot (Total Cost Price)= Rs. 18000

Profit on cupboard = 20%

Profit on cot = 30%

Total profit = 25.833%

To find:

Cost price of cupboard = ?

Solution:

Let the cost price of cupboard = Rs. $x$

Total cost price = Rs. 18000

So, Cost price of cot = Total Cost Price - Cost price of cupboard

Cost price of cot = Rs. (18000 - $x$)

Let us learn concept of Profit Percentage.

Profit is always calculated on Cost Price of an item.

As per question statement:

$x \times 20\%+(18000-x) \times 30\% = 18000 \times 25.833\%\\\Rightarrow 20x+(18000-x)\times 30 = 18000 \times 25.833\\\Rightarrow 20x+540000-30x = 464994\\\Rightarrow 10x = 540000 - 464994\\\Rightarrow 10x = 75006\\\Rightarrow x \approx \bold{Rs.\ 7500}$

So, cost price of cupboard = Rs. 7500