Mixture of milk and water in three bottles of equal capacity is in the ratio 4 ∶ 1, 4 ∶ 3 and 1 ∶ 2 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

Question

Question

This question was previously asked in

SSC MTS (2022) Official Paper (Held On: 15 Jun, 2023 Shift 1)

Answer 1

These three bottles are emptied into a large bottle.

Mixture of milk and water in three bottles of equal capacity is in the ratio 4 ∶ 1, 4 ∶ 3 and 1 ∶ 2 respectively.

These three bottles are emptied into a large bottle.

Calculation:

These three bottles are of equal capacity,

So, we have to equate the ratio 4 ∶ 1, 4 ∶ 3 and 1 ∶ 2

LCM of 5, 7 , and 3 will be 105

So, the amount of milk and water in 1st bottle will be,

⇒ (4 ∶ 1) × 21 = 84 : 21

So, the amount of milk and water in 2nd bottle will be,

⇒ (4 ∶ 3) × 15 = 60 : 45

So, the amount of milk and water in 3rd bottle will be,

⇒ (1 ∶ 2) × 35 = 35 : 70

These three bottles are emptied into a large bottle.

So, Milk : water in new bottle will be,

⇒ ( 84 + 60 + 35) : (21 + 45 + 70) = 179 : 136

∴ The correct option is 1

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