Solveeit Logo

Question

Question: State true/false: \(1\,crore\,\, = \,\,100\,lakh\) (A) True (B) False...

State true/false:
1crore=100lakh1\,crore\,\, = \,\,100\,lakh
(A) True
(B) False

Explanation

Solution

We know that 1crore=100000001\,crore\, = \,10000000 and 1lakh=1000001\,lakh\, = \,100000. So, here we need to see that, what we have to multiply with 1lakh1\,lakh to convert it to 1crore1\,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 crore = 10000000one{\text{ }}crore{\text{ }} = {\text{ }}10000000. It has seven zeros after one.
And one lakh = 100000one{\text{ }}lakh{\text{ }} = {\text{ }}100000. It has five zeros after one.
That means 10 lakhs = one lakh multiplied by 1010{\text{ }}lakhs{\text{ }} = {\text{ }}one{\text{ }}lakh{\text{ }}multiplied{\text{ }}by{\text{ }}10.
And, 100 lakhs = one lakh multiplied by 100100{\text{ }}lakhs{\text{ }} = {\text{ }}one{\text{ }}lakh{\text{ }}multiplied{\text{ }}by{\text{ }}100.
100 lakhs = 10000000100{\text{ }}lakhs{\text{ }} = {\text{ }}10000000. It has seven zeros after one.
We assumed that there are x lakhs in one crore.
Therefore,
100000x=10000000100000x = 10000000
Divide both sides of the equation by 100000100000,
x=10000000100000\Rightarrow x = \dfrac{{10000000}}{{100000}}
x=100\Rightarrow x = 100
Hence, there are 100100 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 1million=10lakhs1\,million\, = \,10\,lakhsand hundred lakhs would be equal to ten million which would be further equal to one crore.