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📖 Read the passage, then answer the questions below

CitrusWave, a cold-pressed juice startup that ships small-batch bottles to a subscriber base, builds every drink around a single proprietary concentrate. This concentrate is never sold on its own -- it is always diluted with filtered water before bottling.

To prepare a seasonal drop, the production team first prepares two separate batches. The first, called Batch Sunrise, is a 50-litre batch in which concentrate and water are mixed in the ratio 3:2. The second, called Batch Sunset, is also a 50-litre batch, but here concentrate and water are mixed in the ratio 1:4. The entire Batch Sunrise is then combined with the entire Batch Sunset to form one single 100-litre tank named Fusion Blend.

Later, to create a lighter product for the off-season, the flavour team draws out a certain quantity of Fusion Blend from the tank and replaces it with an equal quantity of plain filtered water. This single replacement brings the concentration of concentrate in the tank down to 20%.

Separately, CitrusWave's costing team is finalising a new hybrid drink made by blending pure concentrate, priced at Rs. 480 per litre, with a flavoured syrup base, priced at Rs. 180 per litre. They want the average cost of this hybrid drink to work out to exactly Rs. 300 per litre before any markup is applied on the app.

Question 1

How many litres of pure concentrate must be added to the original 100-litre Fusion Blend tank (40% concentration) to raise its concentration to 50%?

Question 2

If 150 litres of the hybrid drink is prepared using the Rs. 300-per-litre blend, what is the total cost of this batch?

Question 3

How many litres of concentrate are in Batch Sunrise?

Question 4

What is the total volume of the Fusion Blend tank before any replacement or addition?

Question 5

What is the concentration of concentrate in Batch Sunrise, expressed as a percentage?

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