Question

$A$ bought a radio set and spent Rs. $110$ on its repairs. He then sold it to $B$ at $20\%$ profit, $B$ sold it to $C$ at a loss of $10\%$ and $C$ sold it for Rs. $1188$ at a profit of $10\%$. What is the amount for which $A$ bought the radio set?

• A. Rs. $850$
• B. Rs. $890$
• C. Rs. $1000$
• D. Rs. $950$

Answer 1

The correct option is B Rs. $890$

Let $A$'s C.P. $=$ Rs. $x$

Then $A$'s S.P. $=$ $B$'s C.P. $=$ Rs. $(\frac{120}{100}\times x)$

$B$'s S.P. $=$ $C$'s C.P. $=$ Rs. $(\frac{90}{100}\times \frac{120}{100}\times x)$
$C$'s S.P. $=$ Rs.$(\frac{110}{100}\times \frac{90}{100}\times \frac{120}{100}\times x)$

Given, $\frac{110}{100}\times \frac{90}{100}\times \frac{120}{100}\times x=1188$

$\Rightarrow x=\frac{1188\times 1000}{11\times 9\times 12}=1000$
Amount spent by $A$ on repairs $=$ Rs. $110$.

$\therefore$ Amount for which $A$ bought the radio set $=$ Rs. $1000-$ Rs. $110=$ Rs. $890$.