Question

the salaries of A and B together amount rs2000 . A spends 95% of his salary and B spends 85% of his salary . If their savings are the same then what is A's salary?

Answer 1

Let a's Salary be x
let's salary be y
so x+y=Rs. 2000
implies, x=2000-y   ........ equation 1
out of rs. 100, a saves=100-95=rs5
out of rs. x, a saves= x*(5/100) 

similarly, b saves= y*(15/100)
5x/100=15y/100
implies x=3y........ eqn 2
replacing x from eqn to eqn 2

2000-y=3y
4y=2000
y=500
x=1500
a's salary=rs 1500

Answer 2

ʟᴇᴛ ᴀ's sᴀʟᴀʀʏ ʙᴇ x
ʟᴇᴛ's sᴀʟᴀʀʏ ʙᴇ ʏ
sᴏ x+ʏ=ʀs. 2000
ɪᴍᴘʟɪᴇs, x=2000-ʏ   ........ ᴇϙᴜᴀᴛɪᴏɴ 1
ᴏᴜᴛ ᴏғ ʀs. 100, ᴀ sᴀᴠᴇs=100-95=ʀs5
ᴏᴜᴛ ᴏғ ʀs. x, ᴀ sᴀᴠᴇs= x*(5/100) 

sɪᴍɪʟᴀʀʟʏ, ʙ sᴀᴠᴇs= ʏ*(15/100)
5x/100=15ʏ/100
ɪᴍᴘʟɪᴇs x=3ʏ........ ᴇϙɴ 2
ʀᴇᴘʟᴀᴄɪɴɢ x ғʀᴏᴍ ᴇϙɴ ᴛᴏ ᴇϙɴ 2

2000-ʏ=3ʏ
4ʏ=2000
ʏ=500
x=1500
ᴀ's sᴀʟᴀʀʏ=ʀs 1500