Percentage

Quantitative Aptitude (MTS)

Title

45:30

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Indian Economy - Understanding the basics of Indian economic system

470 liters of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now

there is 6% water in the new mixture. Find the quantity of water added by the boy in the mixture.

This questions was previously asked in

SSC MTS 14th July 2022 Shift-3

6 litres

8 litres

5 litres

10 litres

- We begin with an initial mixture containing 470 liters, composed of 5% water.

- This results in the initial water content as 5% of 470 liters: \(0.05 \times 470 = 23.5\) liters.

- After the mischievous act, the water percentage increases to 6%.

- Let the amount of water added be \(x\) liters.

- The new total water content becomes \(23.5 + x\) liters.

- The new mixture total remains 470 + \(x\) liters.

- The equation for the new water percentage is \(\frac{23.5 + x}{470 + x} = 0.06\).

- Solving this, \(23.5 + x = 0.06 \times (470 + x)\).

- Simplifying gives \(23.5 + x = 28.2 + 0.06x\).

- Solving for \(x\) leads to \(x = 5\) liters.

So, Option 3: 5 liters is the correct choice.