Question

ramesh sells an article for rs.440 at a gain of 10%.what didi it cost him?​

Answer 1

$\huge\bold{\mathtt{Question⇒}}$

Ramesh sells an article for $₹440$ at a gain of $10\%.$ What did it cost him ?

$\huge\bold{\mathtt{Given⇒}}$

• SP $= ₹ 440$

• Gain $= 10\%$

$\huge\bold{\mathtt{To\:find⇒}}$

The CP.

$\huge\bold{\mathtt{Solution⇒}}$

Let the CP be ₹ $x.$

We know that:

• $\large\boxed{Gain=Gain\%\:of\:CP}$

• $\large\boxed{SP = CP+Gain}$

So, gain

$= 10\%\:of\:x$

$= {\frac{10}{100}}×x$

$= {\frac{10x}{100}}$

According to condition,

$x+{\frac{10x}{100}} = 440$

$➳\:{\frac{100x+10x}{100}} = 440$

$➳\:{\frac{110x}{100}} = 440$

$➳\:110x = 440×100$

$➳\:110x = 44000$

$➳\:x = {\frac{44000}{110}}$

$➳\:x = {\frac{4400\cancel0}{11\cancel0}}$

$➳\:x = {\frac{4400}{11}}$

$➳\:x = 400$

$\huge\bold{\mathtt{Hence⇒}}$

$x = 400$

CP $=₹x = ₹400$

$\huge\bold{\mathtt{Therefore⇒}}$

It cost him $₹400.$

$\huge\bold{\mathtt{Done࿐}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$