Ramesh sells an article for rs.440 at a gain of 10%.what didi it cost

1.	Ramesh sells an article for rs.440 at a gain of 10%.what didi it cost him?
Answer» $\huge\bold{\mathtt{Question⇒}}$ 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 $₹400.$ $\huge\bold{\mathtt{Done࿐}}$ $\large\bold{\mathtt{Hope\:this\:helps\:you.}}$ $\large\bold{\mathtt{Have\:a\:nice\:day.}}$