The selling price of an article is Rs- 1-200 and cost price is 5-4 times of its selling price- find-i cost price of the article -ii profit or loss as percent-

(i) S.P. of an article = Rs. 1200 ∴ C.P. =5/4 of C.P. =5/4× 1200= Rs. 1500 (ii) Loss = C.P. S.P = Rs. 1500 Rs. 1200= Rs. 300 Loss =300 × 100/1500 =100/5=20 % ...

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Standard VII

Mathematics

Profit and Loss Percentage

The selling p...

Question

The selling price of an article is Rs. 1,200 and cost price is $\frac{5}{4}$ times of its selling price, find:
(i) cost price of the article ;
(ii) profit or loss as percent.

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Solution

(i) S.P. of an article $=$ Rs. 1200
$∴$ C.P. $= \frac{5}{4}$ of C.P.
$= \frac{5}{4} \times 1200 =$ Rs. 1500
(ii) Loss $=$ C.P. - S.P
$=$ Rs. $1500 -$ Rs. $1200 =$ Rs. 300
Loss% $= \frac{Loss \times 100}{C.P.}$
$= \frac{300 \times 100}{1500}$
$= \frac{100}{5} = 20 %$

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The selling price of an article is Rs. 1,200 and cost price is 54 times of its selling price, find: (i) cost price of the article ; (ii) profit or loss as percent.

(i) S.P. of an article = Rs. 1200 ∴ C.P. =54 of C.P. =54×1200= Rs. 1500 (ii) Loss = C.P. - S.P = Rs. 1500− Rs. 1200= Rs. 300 Loss% = Loss ×100 C.P. =300×1001500 =1005=20%

The selling price of an article is Rs. 1,200 and cost price is $\frac{5}{4}$ times of its selling price, find:
(i) cost price of the article ;
(ii) profit or loss as percent.

(i) S.P. of an article $=$ Rs. 1200
$∴$ C.P. $= \frac{5}{4}$ of C.P.
$= \frac{5}{4} \times 1200 =$ Rs. 1500
(ii) Loss $=$ C.P. - S.P
$=$ Rs. $1500 -$ Rs. $1200 =$ Rs. 300
Loss% $= \frac{Loss \times 100}{C.P.}$
$= \frac{300 \times 100}{1500}$
$= \frac{100}{5} = 20 %$