What is the respective ratio of total number of `N` and `L` type products together sold by store `D` and the same products sold by store `A`?

Options

A. `119 : 104`
B. `102 : 115`
C. `104 : 115`
D. `115 : 102`

Answer

To find the respective ratio of the total number of `N` and `L` type products sold by store `D` and store `A`, we can follow these steps:

### Step 1: Identify the number of `N` and `L` type products sold by store D.
From the data provided:
- Store D sold 54 products of type `N`.
- Store D sold 61 products of type `L`.

### Step 2: Calculate the total number of `N` and `L` type products sold by store D.
To get the total for store D:
\[ \text{Total for Store D} = \text{Number of N products} + \text{Number of L products} = 54 + 61 = 115 \]

### Step 3: Identify the number of `N` and `L` type products sold by store A.
From the data provided:
- Store A sold 48 products of type `N`.
- Store A sold 54 products of type `L`.

### Step 4: Calculate the total number of `N` and `L` type products sold by store A.
To get the total for store A:
\[ \text{Total for Store A} = \text{Number of N products} + \text{Number of L products} = 48 + 54 = 102 \]

### Step 5: Find the ratio of total products sold by store D to total products sold by store A.
Now we can find the ratio:
\[ \text{Ratio} = \frac{\text{Total for Store D}}{\text{Total for Store A}} = \frac{115}{102} \]

### Step 6: Simplify the ratio if necessary.
The ratio \(115:102\) is already in its simplest form.

### Final Answer:
The respective ratio of total number of `N` and `L` type products sold by store `D` to the same products sold by store `A` is \(115:102\).

---