Question

On selling an article at 4% gain instead of 4% loss, one could get * 106 more. Find the cost price of the article.
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Answer 1

Solution :

On selling an article at a 4% gain instead of a 4% loss, one could get Rs. 106 more.

We have to find the cost price of the machine.

Suppose that the cost price of the machine is x inr. so

Selling it at a 4% gain

>> 104% of x

Selling it at a 4% loss

>> 96% of x

(104% of x) - (96% of x) = 106

>> (104x - 96x) = 10600

>> 8x = 10600

>> x = 1325

Answer : The cost price of the article is Rs. 1325

$\boxed{\begin{minipage}{5cm}\bigstar \:\underline{\textbf{Profit and Loss Formulas :}}\\\\ \\ \sf {\textcircled{\footnotesize\textsf{1}}} \:S.P. = \sf \bigg\lgroup\dfrac{100 + Profit \%}{100}\bigg\rgroup \times 100 \\\\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:C.P. = \sf \dfrac{S.P. \times 100}{100 + Profit \%} \\\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Profit = \sf \dfrac{Profit \% \times C.P.}{100} \\\\\\ \sf{\textcircled{\footnotesize\textsf{4}}} \: \:Profit (gain) = S.P. - C.P. \\\\\\\sf{\textcircled{\footnotesize\textsf{5}}} \: \: \sf Profit \% = \dfrac{Profit}{C.P.} \times 100 \end{minipage}}$

Answer 2

TIP :

• Use the formula

• 1. Loss: If the selling price of a product is less than the cost price, the seller will incur a loss

• Therefore, Loss = C.P - SP

2. Loss % = C.P . - S.P . × 100 = Loss/CP × 100

STEP 1 :

• Write the expression (On selling an article at 4% gain instead of 4% loss, one could get * 106 more. Find the cost price of the article)

Let a be the CP :

• (104 % of a) - ( 96 % of a)

• 104 a - 96a = 10600

• 8a = 10600

• a = 1325

article cost price = 1325