Question

a man buys a radio for rupees 640 he sells it at a loss of 7 whole 1 upon 2% but find the selling price of the radio​

Answer 1

Answer:

Market price:640

loss:15/2=48Rs

selling price=mp-loss

=640-48=592

RS 592 is selling price

Answer 2

Answer:

Selling price of the radio = ₹592

Step-by-step explanation:

Given :

Cost price of radio = ₹640

Loss percentage = 7½ %

To find :

The Selling price of the radio

Taken :

To find the Selling price of the radio use this formula -:

$\boxed{\sf{S.P.=\dfrac{100-L\%}{100}\times C.P.}}$

Where,

S.P. = Selling price

L% = Loss percentage

C.P. = Cost price

Solution :

$:\implies\sf{S.P.=\dfrac{100-7\dfrac{1}{2}}{100}\times 640}$

Make mixed fraction into improper fraction

$:\implies\sf{S.P.=\dfrac{\dfrac{100}{1}-\dfrac{15}{2}}{100}\times640}$

$:\implies\sf{S.P.=\dfrac{\dfrac{200-15}{2}}{100}\times640}$

$:\implies\sf{S.P.=\dfrac{\dfrac{185}{2}}{\cancel{100}}\times\cancel{640}}$

$:\implies\sf{S.P.=\dfrac{185}{\cancel{2}}\times\cancel{6.4}}$

$:\implies\sf{S.P.=185\times3.2}$

$:\implies\sf{S.P.=Rs.592}$

So , the Selling price of the radio is ₹592 .

Extra information :

▪︎To find the Selling price if profit percentage is given-:

$\boxed{\sf{S.P.=\dfrac{100+P\%}{100}\times C.P.}}$

▪︎To find the cost price -:

(i) If loss -:

$\boxed{\sf{C.P.=\dfrac{100}{100-L\%}\times S.P.}}$

(ii) If profit -:

$\boxed{\sf{C.P.=\dfrac{100}{100+P\%}\times S.P.}}$