Question

formula of comparing quantities

Answer 1

SP= The price, at which an article is sold, is called its selling prices

CP= the price, at which an article is purchased, is called its cost price

DISCOUNT=marked price- sale price

MRP = maximun retail price

Profit or Gain: If S.P. is greater than C.P., the seller is said to have a profit or gain.

Loss: If S.P. is less than C.P., the seller is said to have incurred a loss.

IMPORTANT FORMULAE

Gain = (S.P.) - (C.P.)

Loss = (C.P.) - (S.P.

)Loss or gain is always reckoned on C.P.

Gain Percentage: (Gain %)

Gain % =Gain x 100C.P.

Loss Percentage: (Loss %)

Loss % =Loss x 100C.P.

Selling Price: (S.P.)

SP =(100 + Gain %)x C.P100

Selling Price: (S.P.) SP =(100 - Loss %)x C.P.100

Cost Price: (C.P.)

C.P. =100x S.P.(100 + Gain %)

Cost Price: (C.P.)

C.P. =100x S.P.(100 - Loss %)\

Answer 2

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