420 grams of sugar solution has 40℅ sugar in it. How much more sugar needs to be added (in grams) , such that the resulting solution has 65℅ sugar
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Given : 420 grams of sugar solution has 40% sugar in it.
To find : How much More sugar needs to be added (in grams), such that
the resulting solution has 65% sugar?
Solution:
420 gram of sugar Solution
Has 40 % Sugar
40 % sugar = (40/100) 420 = 168 g
Let say x gram sugar is added then
sugar = 168 + x g
Solution = 420 + x g
Solution becomes 65 % sugar
=> 65 /100 = (168 + x)/(420 + x)
=> 65 * 420 + 65x = 168 * 100 + 100x
=> 35x = 65 * 420 - 168 * 100
=> 35 x = 27300 - 16800
=> 35x = 10500
=> x = 300
300 g sugar need to be added
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