What should be the price marked on a washing machine whose cost price is $R s . 14, 400$ , if the retailer wants to get a profit of $10$ % after giving a discount of $12$ %?

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Solution

Given, CP $= R s . 14, 400$
Let the marked price(M.P) be $R s . x$
Discount on marked price $= 12 %$ of $x = 0.12 x$
Sale price (S.P)= M.P - Discount
$= x - 0.12 x = 0.88 x$
Sale price according to C.P = C.P + profit
$= 14400 + 10 %$ of C.P
$= 14400 + 0.10 \times 14400$
$= 14400 + 1440$
$= 15840$
on equating S.P from both the methods, we have
$0.88 x = 15840$
$x = R s . 18000$
$∴$ M.P $= R s . 18000$
So, marked price will be $R s . 18000$ for a profit of $10 %$ after a discount of $12 %$ .

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What should be the price marked on a washing machine whose cost price is Rs. 14,400, if the retailer wants to get a profit of 10% after giving a discount of 12%?

What should be the price marked on a washing machine whose cost price is $R s . 14, 400$ , if the retailer wants to get a profit of $10$ % after giving a discount of $12$ %?