Question

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Ramesh needs ‘X’ g of sugar to make 150 g sugar solution with 20% (w/w) concentration. Rohan added
‘Y’ g of water to reduce the concentration of same solution to 15% (w/w). The value of ‘X’ and ‘Y’ respectively are

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Answer 1

$\maltese\LARGE\textsf{\underline{ Gɪᴠᴇɴ :-}}$

${\bold{\red{➪}}}$Ramesh needs 'X' g of sugar to make 150 g sugar solution with 20% (w/w) concentration  

Rohan added  'Y g of water to reduce the concentration of same solution to 15% (w/w).

$\maltese\LARGE\textsf{\underline{ Tᴏ:Fɪɴᴅ :-}}$

${\bold{\red{➪}}}$ The value of 'X' and 'Y'

$\maltese\LARGE\textsf{\underline{ Sᴏʟᴜᴛɪᴏɴ :-}}$

${\bold{\red{➪}}}$20% (w/w) concentration  means 20 gm of sugar is for 100 gm of solution.

Sugar Solution = 150 g

20% (w/w) concentration

Sugar = (20/100)150  = 30 g

Sugar = 30 g

X = 30✔︎

Water = 150 - 30 = 120 g

Solution = 150 + y  g

15% (w/w) concentration

= (15/100)(150 + y)  = 30

=> 150 + y = 200

=> y = 50

Y = 50✔︎

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