Mohan‌ ‌purchased‌ ‌2‌ ‌dozen‌ ‌bananas,‌ ‌`(1)/(2)` kg apples‌ ‌and‌ `1(1)/(2)` kg other‌ ‌fruits‌ ‌everyday.‌ ‌If‌ ‌the‌ ‌six ‌bananas‌ ‌is‌ ‌750‌ ‌gm,‌ ‌how‌ ‌many‌ ‌kg‌ ‌of‌ ‌fruits‌ ‌he‌ ‌purchases‌ ‌everyday?‌

Options

A. 3kg
B. 5 kg
C. `4(1)/(2) kg`
D. `5(1)/(2)` kg

Answer

To solve the problem step by step, we will calculate the total weight of fruits Mohan purchases every day.

### Step 1: Calculate the weight of bananas
Mohan purchased 2 dozen bananas. Since 1 dozen equals 12, we can calculate the total number of bananas:

\[ \text{Total bananas} = 2 \times 12 = 24 \text{ bananas} \]

Next, we know that 6 bananas weigh 750 grams. To find the weight of 1 banana, we divide the total weight of 6 bananas by 6:

\[ \text{Weight of 1 banana} = \frac{750 \text{ grams}}{6} = 125 \text{ grams} \]

Now, to find the total weight of 24 bananas, we multiply the weight of 1 banana by 24:

\[ \text{Weight of 24 bananas} = 24 \times 125 \text{ grams} = 3000 \text{ grams} \]

To convert grams to kilograms, we divide by 1000:

\[ \text{Weight of 24 bananas in kg} = \frac{3000 \text{ grams}}{1000} = 3 \text{ kg} \]

### Step 2: Calculate the weight of apples
Mohan purchased \(\frac{1}{2}\) kg of apples.

### Step 3: Calculate the weight of other fruits
Mohan purchased \(1 \frac{1}{2}\) kg of other fruits. We can convert this mixed number to an improper fraction:

\[ 1 \frac{1}{2} = \frac{3}{2} \text{ kg} \]

### Step 4: Calculate the total weight of all fruits
Now, we will add the weights of all the fruits together:

\[ \text{Total weight} = \text{Weight of bananas} + \text{Weight of apples} + \text{Weight of other fruits} \]

Substituting the values we calculated:

\[ \text{Total weight} = 3 \text{ kg} + \frac{1}{2} \text{ kg} + \frac{3}{2} \text{ kg} \]

To add these, we can convert \(\frac{1}{2}\) kg to a fraction with a common denominator:

\[ \frac{1}{2} = \frac{2}{4} \quad \text{and} \quad \frac{3}{2} = \frac{6}{4} \]

Now, we can rewrite the total weight:

\[ \text{Total weight} = 3 \text{ kg} + \frac{2}{4} \text{ kg} + \frac{6}{4} \text{ kg} = 3 \text{ kg} + \frac{8}{4} \text{ kg} = 3 \text{ kg} + 2 \text{ kg} = 5 \text{ kg} \]

### Final Answer
Mohan purchases a total of **5 kg** of fruits every day.

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