Question

By selling a radio for ₹903 ,a shop keeper gains 5%.find the cost price of the radio .who answers first I will mark him brainliest

Answer 1

Answer:

5%=1/20

Step-by-step explanation:

Let cp=20

So

Profit=20+1=21

Here

21=903(given)

1=903/21=43

So

Cp=20×43=860

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Cost Price of the Radio is Rs. 860.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Selling Price of the Radio = Rs. 903

Gain made of = 5%

To Find :

The Cist Price of the radio

Solution :

$\textbf{\small{\underline{Here ;}}}$

• Selling Price (SP) = Rs. 903
• Profit % = 5%
• Cost Price (CP) = ?

★ Cost Price = ${\boxed{\sf\:{\frac{100}{(100 +Profit\%)} \times SP}}}$

$\tt{\longrightarrow} \: CP = \left[\dfrac{100}{100 + 5}\right] \times 903$

$\tt{\longrightarrow} \: CP = \dfrac{100 }{105} \times 903$

$\tt{\longrightarrow} \: CP = \dfrac{90300 }{105}$

$\tt{\longrightarrow} \: CP = 860$

$\therefore$ The Cost Price of the Radio is Rs. 860.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

As we know the Cost Price of the Radio, verify the answer by solving for Profit%.

• Cost Price (CP) = Rs. 860
• Selling Price (SP) = Rs. 903

★ Profit % = ${\boxed{\sf\:{\frac{SP - CP}{CP} \times 100}}}$

$\tt{\longrightarrow} \: \dfrac{903 - 860}{860} \times 100$

$\tt{\longrightarrow} \: \dfrac{43}{860} \times100$

$\tt{\longrightarrow} \: \dfrac{4300}{860}$

$\tt{\longrightarrow} \: 5\%$

$\therefore$ The Cost Price of the Radio is Rs. 860.