1.

1. In a mixture of 60 litres, the ratio of milk and water is2:3. How much water must be added to this mixtureso that the ratio of milk and water becomes 1:2?(a) 10 litres(b) 12 litres(c) 15 litres(d) 20 litres​

Answer»

Answer:

12 litres

Step-by-step explanation:

\pmb{ \sf Given : - }

In a MIXTURE of 60 litres, the RATIO of MILK and water is 2:3.

\pmb{ \sf \: To \: Find : - }

Water must be added to this mixture so that the ratio of milk and water becomes 1:2.

\pmb{ \sf \: Solution:-}

\sf \: Given \: ratio = 2 : 3 \\ \\ \leadsto \: \sf Sum \: of \: ratios = 2 + 3 \\ \leadsto \sf \: \purple 5

\sf \: Quantity \: of \: milk = \frac{2}{ \cancel5} \times \cancel{ 60} \\ \leadsto \sf \: 2 \times 12 \\ \leadsto \bf \purple{24 \: l}

\sf \: Quantity \: of \: water = 60 - 24 \\ \dashrightarrow \bf \purple{36 \: l}

Now,

\bigstar \rm \: \: Let \pink{ \bf \: x l} \: be \: added

ACQ,

\therefore \tt \: \frac{24}{36 + x} = \frac{1}{2} \\ \longrightarrow \tt \: 1(36 + x) = 2(24) \\ \longrightarrow \tt \: 36 + x = 48 \\ \longrightarrow \tt \: x = 48 - 36 \\ \longrightarrow \tt \: \bf \color{aqua} \: x = 12 \: l

So,

The amout added = 12 l

[Option 'B' supports the answer]


Discussion

No Comment Found

Related InterviewSolutions