A shopkeeper has 423kg of sugar. He sells 42 kg of sugar every day. Estimate how much sugar is left after 6 days scale to the nearest hundred.

Options

A. 200kg
B. 170kg
C. 175kg
D. 150kg

Answer

To solve the problem step by step, we need to estimate how much sugar is left after the shopkeeper sells sugar for 6 days.

### Step 1: Calculate the total sugar sold in 6 days.
The shopkeeper sells 42 kg of sugar every day. To find out how much sugar he sells in 6 days, we multiply the daily sale by the number of days.

\[ \text{Total sugar sold} = \text{Daily sale} \times \text{Number of days} \]
\[ \text{Total sugar sold} = 42 \, \text{kg/day} \times 6 \, \text{days} \]
\[ \text{Total sugar sold} = 252 \, \text{kg} \]

### Step 2: Calculate the remaining sugar after 6 days.
Now, we need to find out how much sugar is left after selling 252 kg from the initial amount of 423 kg.

\[ \text{Remaining sugar} = \text{Initial sugar} - \text{Total sugar sold} \]
\[ \text{Remaining sugar} = 423 \, \text{kg} - 252 \, \text{kg} \]
\[ \text{Remaining sugar} = 171 \, \text{kg} \]

### Step 3: Round the remaining sugar to the nearest hundred.
Now we need to round 171 kg to the nearest hundred. When rounding to the nearest hundred, we look at the tens place.

- Since 171 is closer to 200 than to 100, we round it up.

Thus, the final answer is:
\[ \text{Estimated remaining sugar} = 200 \, \text{kg} \]

### Summary of Steps:
1. Calculate total sugar sold in 6 days: \( 42 \times 6 = 252 \, \text{kg} \)
2. Calculate remaining sugar: \( 423 - 252 = 171 \, \text{kg} \)
3. Round to the nearest hundred: \( 171 \) rounds to \( 200 \, \text{kg} \)