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Question

A shopkeeper brought 6 tons of wheat & sold 4.7 tons out of it. How many kgs of wheat has he with him now?

The correct answer is

1300 kg

Calculating Remaining Wheat in Kilograms

The problem asks us to find out how many kilograms of wheat the shopkeeper has left after selling a certain amount. We are given the initial amount in tons and the amount sold in tons. The final answer needs to be in kilograms.

Understanding the Units and Conversion

We are working with units of mass: tons and kilograms. To solve this problem, we need to know the conversion between tons and kilograms.

  • 1 ton is equal to 1000 kilograms.

We first need to find the amount of wheat remaining in tons and then convert that amount to kilograms.

Step-by-Step Calculation

1. Find the Remaining Wheat in Tons

The shopkeeper started with 6 tons of wheat and sold 4.7 tons.

Remaining wheat in tons = Initial wheat - Sold wheat

Remaining wheat in tons = $\text{6 tons} - \text{4.7 tons}$

Remaining wheat in tons = $\text{1.3 tons}$

2. Convert the Remaining Wheat from Tons to Kilograms

Now we need to convert the remaining 1.3 tons into kilograms. We use the conversion factor: 1 ton = 1000 kg.

Remaining wheat in kg = Remaining wheat in tons $\times$ Conversion factor

Remaining wheat in kg = $\text{1.3 tons} \times \text{1000 kg/ton}$

Remaining wheat in kg = $\text{1300 kg}$

So, the shopkeeper has 1300 kg of wheat left.

Summary of Calculation

Description Amount (Tons) Amount (Kilograms)
Initial Wheat 6 $6 \times 1000 = 6000$
Wheat Sold 4.7 $4.7 \times 1000 = 4700$
Remaining Wheat $6 - 4.7 = 1.3$ $1.3 \times 1000 = 1300$

The shopkeeper now has 1.3 tons of wheat remaining, which is equivalent to 1300 kilograms.

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Important Questions from Units, Dimensions and Measurements

  1. According to Newton's second law of motion, force ($F$) is defined as the product of mass ($m$) and acceleration ($a$), i.e., $F=ma$. If an object with a mass of $1 \text{ kg}$ experiences an acceleration of $1 \text{ m/s}^2$, what is the standard SI unit used to quantify this force?

  2. kg m/sec is the unit of

  3. Which of the following instruments is used to measure the radius of wires?

  4. The dimension of linear momentum is identical to that of which of the following expressions?

  5. Which system has been accepted as the international standards of measurement with seven base units for length, mass, time, temperature, electric current, luminous intensity and amount of substance?

    I. Metric system

    II. Imperial or British system

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