Question

7. Find the cost price when
(a) S.P. = 2100, profit = 5%​

Answer 1

Let the cost price be 'x'

Given,

Selling price = ₹2100

Profit = 5%

According to the problem,

$( \frac{5}{100} \times x) + x = 2100 \\ = \frac{x}{20} + x = 2100 \\ = \frac{21x}{20} = 2100 \\ = \frac{x}{20} = 100 \\ = x = 2000$

Therefore the cost price is ₹2000.

Answer 2

$\huge{ \pink{\bigstar{\underline{\underline{Answer}}}}}$

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$\implies$Given

$\implies$S.P. = 2100

$\implies$Profit = 5%

$\implies \large {\red{\it{Formula = ( \frac{SP \times 100}{100 + Profit}) }}}$

$\implies \large{ \red{ \bf{Applying \: the \: formula:—}}}$

$\implies \large{ \sf{( \frac{2100 \times 100}{100 + 5}) }}$

$\implies \large{ \sf{ \frac{210000}{105} }}$

$\implies \large{ \sf{ \frac{ \cancel{210000}}{ \cancel{105}} }}$

$\implies \large{ \sf{ \frac{ \cancel{210000}}{ \cancel{105}} = 2000 }}$

$\implies \large{ \red{ \bf{So \: C.P \: is \: 2000 \: rupees.}}}$

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