Question

$A$ sold a watch to $B$ at $20\%$ profit and $B$ sold it to $C$ at $12\%$ loss. If $C$ paid Rs. $844.80$ for the watch; how much did $A$ pay for it ?

• A. Rs. $530$
  
• B. Rs. $650$
  
• C. Rs. $720$
  
• D. Rs. $800$

Answer 1

Answer: (D)

Rs. $800$

Given, for $B$
S.P $=$ Rs. $844.80$
Loss $=12$ %
Now, with this S.P. and for Loss $\%$ $=\frac{C.P.-S.P.}{C.P.}\times 100=12$ $\%$
$\Rightarrow \frac{C.P.-844.80}{C.P.}\times 100=12$
$\Rightarrow$ C.P. $-844.80=0.12$ C.P.
$\Rightarrow 0.88$ C.P. $=844.80$
$\Rightarrow$ C.P. $=$ Rs. $960$
This, Rs. $960$ is the S.P for $A$ as $A$ sold the article to $B$.
So, Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=20$ %
$\Rightarrow \frac{960-C.P.}{C.P}\times 100=20$
$\Rightarrow 960-$ C.P. $=0.2C.P.$
$\Rightarrow 1.2$ C.P $=960$
$\Rightarrow$ C.P. $=Rs800$
Hence, $C$ bought the article for Rs. $800$.