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Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he brought. What was his percent loss in labelled price?1). 22). 63). 44). 8 |
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Answer» LET, x be the LABELLED price of the wrist watch ∴ Price at which he brought the watch $(= \;x - \;\frac{{30}}{{100}}x = \left( {1 - 0.3} \right)x = 0.7x)$ Again, Price at which he sold the watch = $(\;0.7x + \frac{{40}}{{100}} \times 0.7x)$ $(= \left( {1 + \;\frac{{40}}{{100}}} \right) \times 0.7x = 0.98x)$ ∴ Required PERCENTAGE loss in labelled price = $(\frac{{x\; - \;0.98x}}{x} \times 100{\RM{\;}} = {\rm{\;}}0.02{\rm{\;}} \times {\rm{\;}}100{\rm{\;}} = {\rm{\;}}2{\rm{\% }})$ |
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