Question

The marked price of a TV is
much is the TV available?
18500. A dealer allows two successive discounts of 20% and 5%. For how
how much is the TV
​

Answer 1

$\huge{\boxed{\underline{\underline{\mathbb{\red{SolUtion}}}}}}$

_______________________

Given :-

• Marked price of T.V = Rs 18500
• Two successive discounts are :-

1. 20 %
2. 5 %

Firstly we will find the single discount equivalent to 2 successive discounts

$\bf{\underline{\mathcal{\pink{Formula}}}}$

→

$(x + y - \frac{xy}{100} )\%$

Here x refer to 1st discount and y refers to 2nd discount .

$>> (20 + 5 - \frac{20 \times 5}{100} )\%$

$>> (25 - \frac{100}{100} )$

$>> (25 - 1) = 24\%$

Discount percentage = 24%

_______________________

Discount →

$\bf{\underline{\mathcal{\pink{Formula}}}}$

$\frac{discount\% \times m.p}{100}$

Discount = (24 × 18500)/100

Discount = 24 × 185

Discount = Rs 4,440

Now , Selling price = Marked price- Discount

→ 18500 - 4440

→ Rs 14,060

So the T.V is available at Rs 14,060

Answer 2

AnswEr :

$\bf{ Given}\begin{cases}\sf{Marked \:Price \:(MP) = Rs.\:18500}\\\sf{1st \:Discount \:(D_1)=20\%}\\ \sf{2nd \:Discount \:(D_2)=5\%}\\\sf{Selling\: Price \: (SP)=?} \end{cases}$

• Let's Head to the Question Now :

$\longrightarrow \tt SP = MP\times(100 - D_1)\%\times(100 - D_2)\% \\ \\\longrightarrow \tt SP = 18500\times(100 - 20)\%\times(100 - 5)\% \\ \\\longrightarrow \tt SP = 18500\times80\%\times95\% \\ \\\longrightarrow \tt SP = 185\cancel{00}\times \cancel\dfrac{80}{100} \times \dfrac{95}{\cancel{100}} \\ \\\longrightarrow \tt SP =185 \times \dfrac{4}{\cancel5}\times\cancel{95} \\ \\\longrightarrow \tt SP = 185 \times 4 \times 19 \\ \\\longrightarrow\large\boxed{ \orange{\tt SP =Rs. \:14060}}$

⠀

∴ Selling Price of the TV is Rs. 14,060

$\rule{300}{1}$

• V E R I F I C A T I O N :

$\implies \tt MP = \dfrac{SP}{(100-D_1)\%\times(100-D_2)\%} \\ \\\implies \tt18500 = \dfrac{14060}{(100-20)\%\times(100-5)\%} \\ \\\implies \tt18500 = \dfrac{14060}{80\% \times 95\%} \\ \\\implies \tt18500 = \cancel\dfrac{14060 \times 100 \times 100}{80 \times 95} \\ \\\implies\pink{\tt Rs.\:18500 = Rs.\:18500} \qquad \quad\underline\text{hence verified}$

$\rule{300}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\SP=MP\times(100-Discount)\%\\\\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

#answerwithquality #BAL