Question

Ramesh needs 'X'g of sugar to make 150 g
sugar solution with 20% (w/w)
concentration. Rohan added
Yg of water to reduce the concentration of
same solution to 15% (w/w). The value of 'X'
and Y respectively are
रमेश को 20% (w/w) सांद्रता वाला 150g शर्करा
विलयन बनाने के लिए 'X'g शर्करा की आवश्यकता है। इसी
विलयन की सांद्रता को 15% (w/w) तक कम करने के
लिए रोहन ने इसमें 'Y' g जल मिलाया। 'X' तथा 'Y' के मान
क्रमश: हैं​

Answer 1

Given : 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).

To Find : The value of 'X' and 'Y'

Solution:

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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