Arithmetic

Mixture & Alligation

Medium

applied

In what ratio water must be added to dilute honey costing Rs.240 per litre so that resulting syrup would be Rs.180 per litre

1:3

4:3

3:1

3:4

✅ Correct Option: 1

Honey costs Rs. 240 per litre and water costs Rs. 0 per litre. The resulting syrup should cost Rs. 180 per litre.

Let water added = $x$ litres and honey used = $y$ litres.

The cost per litre of the mixture equals the total cost divided by total volume:

$\frac{240y + 0 \cdot x}{x + y} = 180$

$\frac{240y}{x + y} = 180$

$240y = 180(x + y)$

$240y = 180x + 180y$

$240y - 180y = 180x$

$60y = 180x$

$y = 3x$

$\frac{x}{y} = \frac{1}{3}$

Therefore, water must be added to honey in the ratio $1:3$ .

2025: 30 May Shift 2

In what ratio must rice at ₹ 60 per kg is mixed with rice at ₹ 90 per kg so that the mixture be worth ₹ 80 per kg?

2026: 25 May Shift 1

Arjun invests ₹ 20,000 in two parts, one part at 8% per annum and the other at 12% per annum interest. His yearly average interest rate comes out to be 9% per annum . Then which of the following are true ?

A. He invests ₹ 15,000 @ 8% interest

B. He invests ₹ 10,000 @ 12% interest

C. He invests ₹ 6000 @ 8% interest

D. He invests ₹ 5,000 @ 12% interest

Choose the correct answer from the options given below:

2025: 14 May Shift 2

In what ratio should a shopkeeper mix two types of rice, one costing ₹20 per kg and another costing ₹40 per kg to get a rice variety costing ₹ 28 per kg?

2026: 15 May Shift 1

In what ratio, water must be added to dilute honey costing ₹ 280 per liter so that the resulting syrup would be worth ₹ 210 per liter?

2025: 14 May Shift 1

A tub contains 60 litres of milk. From this tub, 6 litres of milk was taken out and replaced with water. This whole process was repeated further two more times. How much milk is there in the tub now?

2026: 22 May Shift 1

A merchant lent out ₹20000 in two parts, one at 8% and other at 10% interest. The yearly average comes out to be 9.2%. Which of the following are correct ?

(A) Amount lent at 10% is ₹12000.

(B) Amount lent at 8% is ₹12000.

(D) Amount lent at 8% is ₹8000.

Choose the correct answer from the options given below:

In what ratio water must be added to dilute honey costing Rs.240 per litre so that resulting syrup would be Rs.180 per litre

Solution

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