A 60 litre mixture of sugar and water contains sugar and water in the ratio 2:3. How many litres of the mixture should be replaced by sugar so that the ratio of sugar and water become 1:1?
Solution
Correct Answer: Option B
ধরি, mixture এর x পরিমানকে sugar দ্বারা replace করতে হবে ।
অর্থাৎ , sugar/water
= {2/5 × (60 - x) + x}/{(3/5) × (60 - x)} = 1/1
Or, (120 - 2x + 5x)/5 = (180 - 3x)/5
Or, 120 + 3x = 180 - 3x
Or, 6x = 60
Or, x = 10
অর্থাৎ , sugar/water
= {2/5 × (60 - x) + x}/{(3/5) × (60 - x)} = 1/1
Or, (120 - 2x + 5x)/5 = (180 - 3x)/5
Or, 120 + 3x = 180 - 3x
Or, 6x = 60
Or, x = 10
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