Question

An article was sold for rupees 420 with the profit of 5% what was its cost price

Answer 1

Answer:

Let the cost price be x.

profit%=5%

profit= 5%x

      = 0.5

S.P= Cost Price + Profit

S.P= x + 0.5x

S.P= 1.5x

So, 1.5x=420

    x= 420/1.5

    x= 280 Rs.

Hence the cost price is 280 Rs.

hope it helps you

Step-by-step explanation:

Answer 2

• Cost price is Rs. 442.10 .

Step-by-step explanation:

Given:-

• Selling price is Rs. 420 .
• Profit percent is 5%.

To find:-

• Cost price.

Solution:-

$\boxed{\star \: \sf \bold{Profit = Selling \: price - Cost \: price}}$

$\longrightarrow \sf 420 - Cost \: price$

We know that,

$\boxed{ \star \: \sf \bold{Profit \: percent = \frac{Profit}{C.P} \times 100}}$

[C.P = Cost price]

$\longrightarrow \sf 5 = \cfrac{420 - C.P}{C.P} \times 100$

$\longrightarrow \sf 5 \times C.P = (420 - C.P) \times 100$

$\longrightarrow \sf \cfrac{5 \times C.P}{100} = 420 - C.P$

$\longrightarrow \sf \cfrac{C.P}{20} = 420 - C.P$

$\longrightarrow \sf C.P = 20 \times (420 - C.P)$

$\longrightarrow \sf C.P = 8400 - 20\: C.P$

$\longrightarrow \sf 20 \: C.P - C.P = 8400$

$\longrightarrow \sf 19 \: C.P = 8400$

$\longrightarrow \sf C.P = \cfrac{8400}{19}$

$\longrightarrow \sf C.P = 442.10$

Therefore,

Cost price is Rs. 442.10 .