Question

The selling price of an item is Rs. 690 on which 15% profit is earned by the trader. What is the cost price of the item?

Answer 1

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≛ Given ≛

• ➣Selling Price of an item is Rs. 690
• ➣Profit earned by trader 15%

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≛ To find ≛

• ➣Cost price of the item

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≛ Formula to be used ≛

• ➣here we use profit formula

that is :-

${ \boxed{✠\underline{ \boxed{ \sf{ \red✰Cost \: price =100 \times \frac{selling \: price}{100 + profit\%} }}}✠}}$

• when selling price and profit "%" is given

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≛ Assumption ≛

• ➣let cost price be "x"

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≛ let's solve acc to formula≛

$\rm{➾x = 100 \times \frac{690}{100 + 15}} \\\rm{➾x \frac{100 \times 690}{100 + 15}~~~~~~~~~~~~~~~ } \\ \rm{➾x = \frac {100 \times \cancel{ 690}}{ \cancel{115}}}~~~~~~~ \\ \rm{➾x = 100 \times 6}~~~~~~~~~~~~~~~ \\ \rm{➾x =106}~~~~~~~~~~~~~~~$

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➣ Hence "x" (Cost price) of the item

$\large{ \boxed{✠\underline{ \boxed{ \sf{ Rs.106\green✓}}}✠}}$

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Hope it helps !