Question

By selling a radio for rupees 903 a shop keeper gains 5℅ find the cost price of the radio

Answer 1

let the CP be Rs x

given :-
SP = 903
gain = 5%

we know
CP ( 1+ g% /100) = SP
x(1 + 5/100) = 903
105 x /100 = 903
x = 903 x 100/ 105
x = 860

therefore
CP = Rs 860

Answer 2

Rs. 860 is the cost price of the radio.

Given:  

Selling price (S.P) = 903

Profit = 5%

To find:

C.P = ?

Solution:

We know that the formula for calculating the selling price of a product is:

$S . P=C . P+\frac{\text { profit } \%}{100} \times C . P$

Thus, substituting the values,

$903=C . P+\left(\frac{5}{100}\right) C . P$

By solving further,

$\begin{array}{l}{903=\left(\frac{21}{20}\right) C . P} \\ {C . P=\left(\frac{903}{21}\right) \times 20} \\ {C . P=43 \times 20}\end{array}$

Therefore, C.P = Rs. 860  

Therefore, the cost price of the radio was 860 rupees.