the market price if a radio was rs 5000 .what will be the price of the

1.	the market price if a radio was rs 5000 .what will be the price of the radio.if 13% VAT was levied after allowing 15% discount on it?
Answer» $\large\underline{\bf{Solution-}}$ Given that Marked Price OD Radio = RS 5000 DISCOUNT % = 15 % Vat % = 13 % We know, Selling Price including Vat is given by $\boxed{ \bf \:SP = \dfrac{(100 - d\%) \times (100 + v\%)}{100 \times 100} \times <klux>MP</klux>}$ where, SP = Selling Price d % = Discount % v % = Vat % MP = Marked Price On substituting all the values in above formula, we GET $\rm :\longmapsto\:{\rm\:SP = \dfrac{(100 - 15) \times (100 + 13)}{100 \times 100} \times 5000}$ $\rm :\longmapsto\:{\rm\:SP = \dfrac{85 \times 113}{2}}$ $\bf\implies \:SP = 4802.50$ Hence, $\: \: \: \: \: \: \underbrace{ \boxed{ \bf{Selling \: Price \: of \: radio = Rs \: 4802.50}}}$ Additional Information :- $\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) \: (or) (100 - Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$

the market price if a radio was rs 5000 .what will be the price of the radio.if 13% VAT was levied after allowing 15% discount on it?

Answer»

$\large\underline{\bf{Solution-}}$

Given that

Marked Price OD Radio = RS 5000

DISCOUNT % = 15 %

Vat % = 13 %

We know,

Selling Price including Vat is given by

$\boxed{ \bf \:SP = \dfrac{(100 - d\%) \times (100 + v\%)}{100 \times 100} \times <klux>MP</klux>}$

where,

SP = Selling Price

d % = Discount %

v % = Vat %

MP = Marked Price

On substituting all the values in above formula, we GET

$\rm :\longmapsto\:{\rm\:SP = \dfrac{(100 - 15) \times (100 + 13)}{100 \times 100} \times 5000}$

$\rm :\longmapsto\:{\rm\:SP = \dfrac{85 \times 113}{2}}$

$\bf\implies \:SP = 4802.50$

Hence,

$\: \: \: \: \: \: \underbrace{ \boxed{ \bf{Selling \: Price \: of \: radio = Rs \: 4802.50}}}$

Additional Information :-

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) \: (or) (100 - Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$