Question

A truck can carry 10000 kg of weight. If it is already loaded with 3650 kg, how many more kilograms of weight can it carry and the weight equals about how many quintals.

Answer 1

Hint: In this question, first of all, we know that the total capacity of the truck is 10,000 kg and as it is already loaded with 3650 kg. So, the more kg it can carry is the difference of 10,000 kg and 3650 kg. Now, convert this into quintals using 1 quintal = 100 kg.

Complete Step-by-step answer:
In this question, we are given that a truck can carry 10000 kg of weight. If it is already loaded with 3650 kg. We have to find the more kilograms of weight it can carry. Before proceeding with this question, let us talk about a few terms. Suppose if we have an object having the total capacity as N units of weight and it is already occupied by \[{{n}_{1}}\] units of weight, so the remaining weight (say \[{{n}_{2}}\]) which can be occupied in this object is given by:
\[{{n}_{2}}=N-{{n}_{1}}\]
(Remaining Weight) = (Total weight an object can carry) – (Already occupied Weight)…..(i)
In other words, we can say that the object can carry \[{{n}_{2}}\] weight apart from \[{{n}_{1}}\] and that is equal to \[(N-{{n}_{1}})\].
\[N={{n}_{1}}+{{n}_{2}}\]
For example, if we have a container that carries a total of 14 liters of water. If it is already carrying 6 liters of water, we get,
Remaining weight = 14 – 6 = 8 liters
So, this container can carry 8 liters of water more after already carrying 6 liters of water. Now, let us consider our question. In this question, we are given that a truck can carry 10,000 kg of weight. So, we get the total capacity of the truck as 10,000 kg. We are also given that this truck is already loaded with 3650 kg. So, by substituting the total weight as 10,000 kg and already occupied weight as 3650 kg in equation (i), we get,
Remaining Weight = 10000 – 3650 = 6350 kg
So, we get the weight that the truck can carry easily as 6350 kg when it is already loaded with 3650 kg.
Now, we know that 1 quintal = 100 kg
By dividing 100 on both the sides, we get,
\[1kg=\dfrac{1}{100}\text{quintals}=0.01\text{ quintals}\]
So in 1 kg, we have 0.01 quintals
So, in 6350 kg, we get,
\[6350\times 0.01=63.5\text{ quintals}\]
So, this weight is equal to 63.5 quintals.

Note: In this question, students can cross-check their answers by adding different weights occupying the truck and checking if it is the equal total capacity or not. Here, we add 3650 kg and 6350 kg that is,
(3650 + 6350) kg = 10000 kg
which is equal to the total given capacity. So, our answer is correct. Also, in these types of questions, students often make mistakes while converting 1 unit to another like they may multiply 100 instead of 0.01 in the above solution. So this mistake must be taken care of.