In a juice, guava is `85%` and rest is sugar. In another juice, pomegranate is `90%` while rest is sugar. Both the juices are mixed in the ratio of `3 : 2`. Find concentration of sugar in final mixture. (in`%`)

Options

A. A)10
B. B)11
C. C)12
D. D)13

Answer

To solve the problem step by step, we will find the concentration of sugar in the final mixture of the two juices.

### Step 1: Determine the concentration of sugar in each juice.
- **Juice A (Guava Juice)**:
- Guava concentration = 85%
- Sugar concentration = 100% - 85% = 15%

- **Juice B (Pomegranate Juice)**:
- Pomegranate concentration = 90%
- Sugar concentration = 100% - 90% = 10%

### Step 2: Understand the mixing ratio.
- The juices are mixed in the ratio of 3:2. This means for every 3 parts of Juice A, there are 2 parts of Juice B.

### Step 3: Calculate the total parts of the mixture.
- Total parts = 3 (from Juice A) + 2 (from Juice B) = 5 parts.

### Step 4: Calculate the total sugar from each juice based on the mixing ratio.
- From Juice A:
- Sugar from Juice A = 3 parts × 15% sugar = 3 × 15 = 45 units of sugar.

- From Juice B:
- Sugar from Juice B = 2 parts × 10% sugar = 2 × 10 = 20 units of sugar.

### Step 5: Calculate the total sugar in the mixture.
- Total sugar = Sugar from Juice A + Sugar from Juice B = 45 + 20 = 65 units of sugar.

### Step 6: Calculate the concentration of sugar in the final mixture.
- Concentration of sugar in the final mixture = (Total sugar / Total parts) × 100%
- Concentration of sugar = (65 / 5) = 13%

### Final Answer:
The concentration of sugar in the final mixture is **13%**.

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