State true/false:
$1\,crore\,\, = \,\,100\,lakh$
(A) True
(B) False
Answer
544.8k+ views
Hint: We know that $1\,crore\, = \,10000000$ and $1\,lakh\, = \,100000$. So, here we need to see that, what we have to multiply with $1\,lakh$ to convert it to $1\,crore$ according to the above given values and then we have to give the answer from above options.
Complete answer:
Let us assume that there are x lakhs in one crore.
We know that, \[one{\text{ }}crore{\text{ }} = {\text{ }}10000000\]. It has seven zeros after one.
And \[one{\text{ }}lakh{\text{ }} = {\text{ }}100000\]. It has five zeros after one.
That means \[10{\text{ }}lakhs{\text{ }} = {\text{ }}one{\text{ }}lakh{\text{ }}multiplied{\text{ }}by{\text{ }}10\].
And, \[100{\text{ }}lakhs{\text{ }} = {\text{ }}one{\text{ }}lakh{\text{ }}multiplied{\text{ }}by{\text{ }}100\].
\[100{\text{ }}lakhs{\text{ }} = {\text{ }}10000000\]. It has seven zeros after one.
We assumed that there are x lakhs in one crore.
Therefore,
\[100000x = 10000000\]
Divide both sides of the equation by \[100000\],
\[ \Rightarrow x = \dfrac{{10000000}}{{100000}}\]
\[ \Rightarrow x = 100\]
Hence, there are \[100\] lakhs in one crore.
Therefore, (A) is the correct option.
Note:
Always remember to keep your eyes on the number of zeros. Most of the time we make the mistake while putting the zeros. We can also convert crore into millions as we know that $1\,million\, = \,10\,lakhs$and hundred lakhs would be equal to ten million which would be further equal to one crore.
Complete answer:
Let us assume that there are x lakhs in one crore.
We know that, \[one{\text{ }}crore{\text{ }} = {\text{ }}10000000\]. It has seven zeros after one.
And \[one{\text{ }}lakh{\text{ }} = {\text{ }}100000\]. It has five zeros after one.
That means \[10{\text{ }}lakhs{\text{ }} = {\text{ }}one{\text{ }}lakh{\text{ }}multiplied{\text{ }}by{\text{ }}10\].
And, \[100{\text{ }}lakhs{\text{ }} = {\text{ }}one{\text{ }}lakh{\text{ }}multiplied{\text{ }}by{\text{ }}100\].
\[100{\text{ }}lakhs{\text{ }} = {\text{ }}10000000\]. It has seven zeros after one.
We assumed that there are x lakhs in one crore.
Therefore,
\[100000x = 10000000\]
Divide both sides of the equation by \[100000\],
\[ \Rightarrow x = \dfrac{{10000000}}{{100000}}\]
\[ \Rightarrow x = 100\]
Hence, there are \[100\] lakhs in one crore.
Therefore, (A) is the correct option.
Note:
Always remember to keep your eyes on the number of zeros. Most of the time we make the mistake while putting the zeros. We can also convert crore into millions as we know that $1\,million\, = \,10\,lakhs$and hundred lakhs would be equal to ten million which would be further equal to one crore.
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