Question

Find the cost price in each of the following cases :
(i) S.P. = 700, loss = 20%
(ii) S.P. = 1460, gain =25%​

Answer 1

Answer:

1. S.P = ₹700

LOSS% = 20%

C.P= 700×100/100-20

= 700×100/80

= 70000/80

=7000/8

= ₹875.

2. S.P = ₹1460

GAIN = 25%

C.P = 1460×100/100+25

= 1460×100/125

= 1460×4/5

= 252×4

=₹1008.

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Answer 2

Given :

$\sf{(i) \:S.P. = 700 , Loss \% = 20 \%}$

$\sf{(ii)\: S.P. = 1460 , Gain \% = 25\%}$

To find :

$\textsf{The cost price in the given questions}$

Taken :

To find the cost price use this formula:

▪︎If loss :

$\sf\boxed{C.P.=\dfrac{100\%}{100\%-L\%}×S.P.}$

▪︎If profit :

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

Where,

C.P. = Cost price

L% = Loss percent

P% = Profit percent

S.P. = Selling price

Solution :

(i) -:

$\sf\implies{C.P.=\dfrac{100\%}{100\%-20\%}\times700}$

$\sf\implies{C.P.=\dfrac{100\%}{80\%}\times700}$

$\sf\implies{C.P.=25\times35}$

$\sf\implies{C.P.=875}$

(ii) -:

$\sf\implies{C.P.=\dfrac{100\%}{100\%+25\%}\times1460}$

$\sf\implies{C.P.=\dfrac{100\%}{125\%}\times1460}$

$\sf\implies{C.P.=4\times292}$

$\sf\implies{C.P.=1168}$

Answer :

(i) C.P. = ₹875

(ii) C.P. = ₹1168