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

Options

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

Answer

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

**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:

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

**Step 2: Calculate the remaining sugar after 6 days.**
- The shopkeeper initially has 423 kg of sugar.
- To find out how much sugar is left after selling 252 kg, we subtract the total sugar sold from the initial amount:

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

**Step 3: Estimate the remaining sugar to the nearest hundred.**
- We need to round 171 kg to the nearest hundred.
- The nearest hundreds to 171 are 100 and 200. Since 171 is closer to 200 than it is to 100, we round it up to 200 kg.

Thus, the estimated amount of sugar left after 6 days, rounded to the nearest hundred, is **200 kg**.

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