Question

Page -152 3) If S.P. Rs 210, profit percent = 6%, 5%+ C.P= Rs x, find CP Here, S.P : Rs 210 Profit percent = 5%​

Answer 1

C.P. = Rs 200

Explanation:

Let's denote the cost price as
`\sf CP`. The selling price (S.P.) is given as Rs 210, and the profit percentage is 5%.

The formula for calculating the selling price when the profit percentage is given is:

`\sf S.P. = \left(1 + \frac{\textsf{Profit Percentage}}{100}\right) * \textsf{C.P.}`

For this problem, we know the S.P. is Rs 210 and the profit percentage is 5%, so we can set up the equation:

`\sf 210 = \left(1 + (5)/(100)\right) * \textsf{C.P.}`

Now, solve for
`\sf \textsf{C.P.}`:

`\sf 210 = \left(1 + (1)/(20)\right) * \textsf{C.P.}`

`\sf 210 = (21)/(20) * \textsf{C.P.}`

Now, multiply both sides by
`\sf (20)/(21)` to solve for
`\sf \textsf{C.P.}`:

`\sf \textsf{C.P.} = (20)/(21) * 210`

`\sf \textsf{C.P.} = (20 * 210)/(21)`

`\sf \textsf{C.P.} = (4200)/(21)`

`\sf \textsf{C.P.} = 200`

So, the cost price (
`\sf \textsf{C.P.}`) is Rs 200.