A shopkeeper allows $8$ % discount on his goods and still earns a profit of $15$ %. If an article is sold for $R s .460$ , find
(i) the marked price
(ii) the cost price.

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Solution

$S P = 460 R s$
$D i s c o u n t = 8 %$
$M P = S P - D i s c o u n t$
$M P = 460 - \frac{8}{100} \times 460$
$M P = 460 - 36.8 = 423.3 R s$
MP is $15 %$ higher than CP
$M P = 115 %$ of $C P$
$M P = \frac{115}{100} \times C P$
$M P \times \frac{100}{115} = C P$
$\frac{42320}{115} = C P$
$C P = 368 R s$

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A shopkeeper allows 8% discount on his goods and still earns a profit of 15%. If an article is sold for Rs.460, find(i) the marked price (ii) the cost price.

SP=460RsDiscount=8%MP=SP−DiscountMP=460−8100×460MP=460−36.8=423.3RsMP is 15% higher than CPMP=115% of CPMP=115100×CPMP×100115=CP42320115=CPCP=368Rs

A shopkeeper allows $8$ % discount on his goods and still earns a profit of $15$ %. If an article is sold for $R s .460$ , find
(i) the marked price
(ii) the cost price.