A shopkeeper charges Rs.10 for every bottle of coke or Rs. 240 for every carat of 30 bottles. If Vandana wants to buy 185 bottle of coke, what amount she will have to pay?

Options

A. Rs. 1480
B. Rs.1490
C. Rs. 1600
D. Rs. 1850

Answer

To find out how much Vandana will have to pay for 185 bottles of Coke, we can break down the problem step by step.

### Step 1: Determine the cost of buying in sets
The shopkeeper charges Rs.240 for a set of 30 bottles.

### Step 2: Calculate how many sets of 30 bottles Vandana can buy
To find out how many complete sets of 30 bottles are in 185, we divide 185 by 30:
\[ \text{Number of sets} = \frac{185}{30} \approx 6.17 \]
This means Vandana can buy 6 complete sets of 30 bottles.

### Step 3: Calculate the number of bottles from the sets
The total number of bottles from 6 sets is:
\[ 6 \times 30 = 180 \text{ bottles} \]

### Step 4: Calculate the remaining bottles needed
Now, we need to find out how many more bottles are needed to reach 185:
\[ 185 - 180 = 5 \text{ bottles} \]

### Step 5: Calculate the cost of the sets
Now, we calculate the cost for the 6 sets of 30 bottles:
\[ \text{Cost for 6 sets} = 6 \times 240 = 1440 \text{ Rs} \]

### Step 6: Calculate the cost of the remaining bottles
Next, we calculate the cost for the remaining 5 bottles:
\[ \text{Cost for 5 bottles} = 5 \times 10 = 50 \text{ Rs} \]

### Step 7: Calculate the total cost
Finally, we add the cost of the sets and the cost of the remaining bottles to find the total amount Vandana has to pay:
\[ \text{Total Cost} = 1440 + 50 = 1490 \text{ Rs} \]

### Conclusion
Thus, Vandana will have to pay Rs. 1490 for 185 bottles of Coke.

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