Question

find the cost price of a computer which has been sold at rs. 40,000 and sold with 25 percent profit.​

Answer 1

Answer:

The cost price of the computer is Rs. 32,000

Step-by-step explanation:

Selling Price of the computer = Rs. 40,000

Profit percentage = 25%

Cost Price = ?

$\bigstar \: {\boxed{\sf\:{CP = \frac{100}{(100 + profit \: \%)} \times SP}}}$

$\sf{\longrightarrow} \: CP = \dfrac{100}{(100 + 25)} \times 40000$

$\sf{\longrightarrow} \: CP = \dfrac{100}{125} \times 40000$

$\sf{\longrightarrow} \: CP = 100 \times 320$

$\sf{\longrightarrow} \: CP = 32000$

Cost Price of the computer = Rs. 32,000

Therefore, the cost price of the computer is Rs. 32,000

Answer 2

Given :-

SP = 40,000

Profit % = 25 %

To Find :-

Cost price

Solution :-

We know that

CP = 100 × SP/(100 + P)

CP = 100 × 40,000/(100 + 25)

CP = 4000000/125

CP = 32000

V E R I F I C A T I O N :

CP = 32000

SP = 40000

Profit = SP - CP

Profit = 40,000 - 32,000

Profit = 8,000

Now

Profit % = Profit/CP × 100

P% = 8000/32000 × 100

P% = 8/32 × 100

P% = 1/4 × 100

P% = 25%

Hence, Proved