2/5 Part of a mixture of 3 l is water and the rest is sugar syrup. Another mixture of 8 l contains 3/5 part water and the rest is sugar syrup. It both mixture are mixed together then what will be the ratio of water & sugar syrup in the new mixture?
1). 8 : 5
2). 7 : 5
3). 4 : 3
4). 6 : 5
Assume,
1) Mixture 1: mixture of 2/5 part water & rest sugar syrup.
2) Mixture 2: mixture of 3/5 part water & rest sugar syrup.
3) Mixture 3: mixture of mixture 1 & mixture 2.
Amount of water and sugar syrup in different mixtures are represented in tabulated form for better understanding.
Mixture |
Volume (liter) |
Water (liter) |
Sugar syrup (liter) |
Mixture 1 |
3 |
2/5 × 3 = 6/5 =1.2 |
(3 – 1.2) = 1.8 |
Mixture 2 |
8 |
3/5 × 8= 24/5=4.8 |
(8 – 4.8) = 3.2 |
Mixture 3 |
11 |
(1.2 + 4.8) = 6 |
(1.8 + 3.2)=5 |
∴ The ratio of water & sugar syrup in the new mixture = 6:5