Question

A tells B, if you give me rs.400 then i shall have 5/4 times as much as you have. B tells A, if you give me rs. 200, them i shall have three and half times as much as you have. how much does B have?​

Answer 1

$\fontsize{18}{10}{\textup{}\textbf{B has Rs. 1200.}}$

Step-by-step explanation:

Let A and B has amount of Rs. x and Rs y respectively.

Then, according to the given information, we have

$x+400=\dfrac{5}{4}(y-400)\\\\\Rightarrow 4(x+400)=5(y-400)\\\\\Rightarrow 4x+1600=5y-2000\\\\\Rightarrow 4x=5y-3600\\\\\Rightarrow x=\dfrac{5y-3600}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$y+200=3\dfrac{1}{2}(x-200)\\\\\Rightarrow y+200=\dfrac{7}{2}(x-200)\\\\\Rightarrow 2y+400=7x-1400\\\\\Rightarrow 2y=7x-1800\\\\\Rightarrow 2y=7\times\dfrac{5y-3600}{4}-1800\\\\\Rightarrow 8y=35y-25200-7200\\\\\Rightarrow 27y=32400\\\\\Rightarrow y=1200.$

Thus, B has Rs. 1200.

#Learn more

Question : A says to B ,"give me rupees 900 and I shall be twice as Rich As You".B replied "if you give me rupees hundred, I shall be thrice as rich as you". How much money has each?

Link : https://brainly.in/question/4668053.