Question

If the cost prize of 15 envelopes is equal to the selling price of 12 envelopes. Find the gain or loss percent.​

Answer 1

Question -

• If the cost prize of 15 envelopes is equal to the selling price of 12 envelopes. Find the gain or loss percent.

Answer

Given -

• Cost prize of 15 envelopes = Selling price of 12 envelopes.

To Find -

• The gain or loss percent.

Formula Used -

$\bigstar \: \boxed{ \green{ \tt \: Gain\% \: = \: \dfrac{Gain}{Cost \: Price} \times 100\%}}$

CALCULATION

• Let the Cost Price of 1 envelop be Re 1.

Therefore,

• Cost Price of 15 envelopes = Rs. 15

Given,

• C.P of 15 envelopes = Selling Price of 12 envelopes.

So,

• S.P of 12 envelopes = Rs. 15

Since,

• SP > CP

So, there is gain in this transaction.

So,

$\rm :\implies\:Gain = Selling \: Price - Cost \: Price$

$\rm :\implies\:Gain \: = \: 15 - 12$

$\rm :\implies\:Gain \: = \: Rs \: 3$

Now,

• Gain% is given by

$\rm :\implies\:Gain\% = \dfrac{Gain}{Cost \: Price} \times 100\%$

$\rm :\implies\:Gain\% = \dfrac{3}{12} \times 100$

$\rm :\implies\:Gain\% \: = 25\%$

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