Question

plz solve no.15 fast step by step..plz. ......​

Answer 1

Let the Cost Price of the radio-set be : CP

Given : The Man sold the radio-set for ₹ 250

It means : The Selling Price of the radio-set is ₹ 250

Given : The Man gained one-ninth of its Cost Price

$\mathsf{\implies Profit = \dfrac{1}{9} \times CP}$

$\mathsf{\implies Profit = \dfrac{CP}{9}}$

★  We know that : Profit = Selling Price - Cost Price

$\mathsf{\implies \dfrac{CP}{9} = 250 - CP}$

$\mathsf{\implies \dfrac{CP}{9} + CP = 250}$

$\mathsf{\implies \dfrac{CP + 9CP}{9} = 250}$

$\mathsf{\implies \dfrac{10CP}{9} = 250}$

$\mathsf{\implies CP = 25 \times 9}$

$\mathsf{\implies CP = 225}$

$\implies \textsf{Cost Price of the radio-set = 225 Rs}$

$\textsf{We know that :}$

$\bigstar\;\;\boxed{\mathsf{Profit\;percent = \dfrac{Selling\;Price - Cost\;Price}{Cost\;Price} \times 100}}$

$\implies \mathsf{Profit\;percent = \bigg(\dfrac{250 - 225}{225}\bigg) \times 100}$

$\implies \mathsf{Profit\;percent = \bigg(\dfrac{25}{225}\bigg) \times 100}$

$\implies \mathsf{Profit\;percent = \bigg(\dfrac{1}{9}\bigg) \times 100}$

$\implies \mathsf{Profit\;percent = \bigg(\dfrac{100}{9}\bigg)}$

$\implies \mathsf{Profit\;percent = 11.11\%}$

$\underline{\bf{Answers :}}$

$\bigstar\;\;\texttt{Cost Price = 225 Rs}$

$\bigstar\;\;\texttt{Profit percent = 11.11 \%}$