Question

Rohan buys a laptop for Rs.15000 and he sells it at a loss of 5 ½ %. For how much does he sell it?

Answer 1

Answer:

This may help you

Step-by-step explanation:

Answer 2

Answer:

Selling price of the laptop = ₹14,175

Step-by-step explanation:

Given :

Cost price of a Laptop = ₹15,000

Loss percentage = 5½ %

To find :

Selling price of the laptop

Taken :

To find the Selling price of the laptop 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 :

$:\implies\sf{S.P.=\dfrac{100\%-5\dfrac{1}{2}\%}{100}\times15,000}$

Convert mixed fraction into improper fraction .

$:\implies\sf{S.P.=\dfrac{\dfrac{100}{1}\%-\dfrac{11}{2}\%}{100}\times15,000}$

LC.M. of 1 and 2 is 2 .

$:\implies\sf{S.P.=\dfrac{\dfrac{200-11}{2}\%}{100}\times15,000}$

$:\implies\sf{S.P.=\dfrac{\dfrac{189}{2}\%}{1\cancel{00}}\times15,0\cancel{00}}$

$:\implies\sf{S.P.=\dfrac{189}{\cancel{2}}\%\times\cancel{150}}$

$:\implies\sf{S.P.=189\times75}$

$:\implies\sf{S.P.=Rs.14,175}$

So , the Selling price of the laptop is ₹14,175 .

Extra information :

▪︎To find the Selling price if profit -:

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

▪︎To find the cost price -:

(i) If profit -:

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

(ii) If loss -:

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