A fruit seller bought some fruits for 6000 and sold them at a profit o

1.	A fruit seller bought some fruits for 6000 and sold them at a profit of 9%.Find his selling price in details
Answer» Answer :- Given :- Cost price = RS. 6000 Profit PERCENTAGE = 9% To Find :- SELLING price Solution :- We know that, $\sf \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P}$ SUBSTITUTING the value in formula :- $\implies\sf SP = \dfrac{100 + 9}{100} \times 6000$ $\implies\sf SP = 109 \times 60$ $\implies\sf SP = 6540$ Selling price = Rs. 6540 $\begin{gathered}\begin{gathered}\begin{gathered} \small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formula}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }\end{gathered}\end{gathered} \end{gathered}$

A fruit seller bought some fruits for 6000 and sold them at a profit of 9%.Find his selling price in details

Answer»

Answer :-

Given :-

Cost price = RS. 6000
Profit PERCENTAGE = 9%

To Find :-

SELLING price

Solution :-

We know that,

$\sf \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P}$

SUBSTITUTING the value in formula :-

$\implies\sf SP = \dfrac{100 + 9}{100} \times 6000$

$\implies\sf SP = 109 \times 60$

$\implies\sf SP = 6540$

Selling price = Rs. 6540

$\begin{gathered}\begin{gathered}\begin{gathered} \small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formula}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }\end{gathered}\end{gathered} \end{gathered}$