Mr. Teremere and Mr. Meretere have 5 chocolates and 3 chocolates with them respectively. Meanwhile Mr. Khabbu Singh joined them and all 8 chocolates were distributed equally among all these three people. In turn Khabbu Singh gave Rs. 16 to Mr. Teremere and Mr. Meretere, Since Khabbu Singh did not has any chocolate. What is the difference of amounts received by Teremere and Meretere? Given that the amount was shared in proportion of chocolates received by Khabbu Singh.

Options

A. Rs. 8
B. Rs 12
C. Rs. 14
D. Rs. 1500

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the total number of chocolates
Mr. Teremere has 5 chocolates and Mr. Meretere has 3 chocolates. Therefore, the total number of chocolates is:
\[ \text{Total chocolates} = 5 + 3 = 8 \]

### Step 2: Distribute chocolates equally among the three people
Since Mr. Khabbu Singh joined them, the total chocolates (8) are distributed equally among the three people:
\[ \text{Chocolates per person} = \frac{8}{3} \approx 2.67 \]

### Step 3: Calculate the remaining chocolates for Mr. Teremere and Mr. Meretere
- Mr. Teremere initially had 5 chocolates and received approximately 2.67 chocolates, so the remaining chocolates with him are:
\[ \text{Remaining chocolates with Teremere} = 5 - 2.67 \approx 2.33 \]

- Mr. Meretere initially had 3 chocolates and received approximately 2.67 chocolates, so the remaining chocolates with him are:
\[ \text{Remaining chocolates with Meretere} = 3 - 2.67 \approx 0.33 \]

### Step 4: Determine the ratio of remaining chocolates
The remaining chocolates can be expressed in a ratio:
\[ \text{Ratio of remaining chocolates} = \text{Teremere's remaining chocolates} : \text{Meretere's remaining chocolates} = 2.33 : 0.33 \]

To simplify this ratio, we can multiply both sides by 3:
\[ \text{Ratio} = 7 : 1 \]

### Step 5: Calculate the total amount given by Khabbu Singh
Khabbu Singh gave a total of Rs. 16 to Mr. Teremere and Mr. Meretere.

### Step 6: Distribute the Rs. 16 in the ratio of chocolates received
Let the amounts received by Mr. Teremere and Mr. Meretere be \( 7x \) and \( 1x \) respectively. Therefore:
\[ 7x + 1x = 16 \]
\[ 8x = 16 \]
\[ x = 2 \]

### Step 7: Calculate the amounts received
- Amount received by Mr. Teremere:
\[ \text{Amount with Teremere} = 7x = 7 \times 2 = 14 \]

- Amount received by Mr. Meretere:
\[ \text{Amount with Meretere} = 1x = 1 \times 2 = 2 \]

### Step 8: Calculate the difference in amounts received
The difference in amounts received by Mr. Teremere and Mr. Meretere is:
\[ \text{Difference} = 14 - 2 = 12 \]

### Final Answer
The difference of amounts received by Mr. Teremere and Mr. Meretere is Rs. 12.

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