Question

Three glasses 1,2 and 3 have water and juice in ratio of 1 : 2, 3 : 4 and 2 : 5. Find out which glass contains maximum amount of juice if capacity of glasses is 90 ml, 210 ml and 140 ml respectively and 10 ml of juice was removed from glass 2 and added to glass 3. 
1. Second glass
2. Both glass 2 and 3
3. Third glass
4. Both glass 1 and 2
5. None of the above

Answer 1

Correct Answer - Option 2 : Both glass 2 and 3

Given:

Glass 1 = 1 : 2, 90ml

Glass 2 = 3 : 4, 210 ml

Glass 3 = 2 : 5, 140ml

Calculation:

Glass 1 has capacity of 90 ml and has water to juice in ratio of 1 : 2

⇒ Amount of juice in glass 1 = (2/3) × 90

⇒ Amount of juice in glass 1 = 60

Glass 2 has capacity of 210ml and has water to juice in ratio of 3 : 4

⇒ Amount of juice in glass 2 = (4/7) × 210

⇒ Amount of juice in glass 2 = 120 ml

⇒ 10 ml removed hence, final quantity = 110 ml

Glass 3 has capacity of 140 ml and has water to juice in ratio of 2 : 5

⇒ Amount of juice in glass 3 = (5/7) × 140

⇒ Amount of juice in glass 3 = 100 ml

⇒ 10 ml added hence, final quantity is 110 ml

∴ both glasses 2 and 3 has maximum amount of juice that is 110 ml