Question

A shop-keeper allows a discount of 10% on a watch and still makes a profit a profit of 12%. If the cost price of the watch be Rs. 450, what is its marked price?

• A. Rs. 540
• B. Rs. 520
• C. Rs. 560
• D. None of these

Answer 1

Answer: (C)

Rs. 560

Given that,

C.P. of watch = Rs. 450

discount = 10 %

profit = 12 %

S.P. of watch = ?

We know that,

$Profit\%=\frac{(SP-CP)}{CP}\times 100$

$\Rightarrow 12=\frac{S.P.-450}{450}\times 100$

$\therefore S.P.=\frac{12\times 450}{100}+450$

$S.P=Rs504...\left(ii\right)$

Now, calculating M.P, we know

S.P = M.P. $[1-\frac{discount\%}{100}]$

$504=MP[1-\frac{100}{100}]$

$MP.=560$