A watch is sold at a profit of 20%. If both the cost price and the selling price of the watch are decreased by Rs. 100, the profit would be 5% more. Original cost price of the watch is -

Report

Report an issue

Name

Email

Message

Submit

Cancel

INSURANCE EXAMS (New India Assurance) 2009 click here to view all questions

A watch is sold at a profit of 20%. If both the cost price and the selling price of the watch are decreased by Rs. 100, the profit would be 5% more. Original cost price of the watch is -

ARs. 450

BRs. 500

CRs. 550

DRs. 600

All DiscussionsClick here to write answer

Correct answer is:  Rs. 500 Explanation: $\eqalign{ & {\text{Let C}}{\text{.P}}{\text{. be Rs}}{\text{. }}x \cr & {\text{Profit}} = 20\% \cr & {\text{S}}{\text{.P}}{\text{.}} = 120\% {\text{ of Rs}}{\text{. }}x \cr & \,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\frac{{6x}}{5} \cr & {\text{New C}}{\text{.P}}{\text{.}} = {\text{Rs}}.\left( {x - 100} \right) \cr & {\text{New S}}{\text{.P}}{\text{.}} = {\text{Rs}}.\left( {\frac{{6x}}{5} - 100} \right) \cr}$ $\eqalign{ & {\text{Profit = }} \cr & {\text{Rs}}.\left[ {\left( {\frac{{6x}}{5} - 100} \right) - \left( {x - 100} \right)} \right] \cr & = {\text{Rs}}.\frac{x}{5} \cr & \therefore \frac{x}{5} \times \frac{1}{{\left( {x - 100} \right)}} \times 100 = 25 \cr & \Rightarrow 20x = 25\left( {x - 100} \right) \cr & \Rightarrow 5x = 2500 \cr & \Rightarrow x = 500 \cr}$ Nithin ? answered Aug 10 '2022 at 20:26 All Comments

Post your answers here:

Rich Text Editor, message-ans

Editor toolbarsClipboard/Undo Cut Copy Paste Paste as plain text Paste from Word Undo RedoEditing Spell Check As You TypeLinks Link Unlink AnchorInsert Image Math Table Insert Horizontal Line Insert Special CharacterTools MaximizeDocument SourceBasic Styles Bold Italic Strikethrough Remove FormatParagraph Insert/Remove Numbered List Insert/Remove Bulleted List Decrease Indent Increase Indent Block QuoteStylesStylesStylesFormatFormatabout About CKEditor

Press ALT 0 for help

◢Elements path 

Post

Post your comments here:

Message

140 remaining

Post

Cancel