Question

State whether the following statement is true or false:
77 rupees 7 paise is equal to Rs. 77.07
A. TRUE
B. FALSE

Answer 1

Hint: We will first convert the paise amount to rupees in terms of decimals then add it to the already given amount in rupees. If the resultant is equal to the given amount at last, then the statement is true.

Complete step-by-step answer:
We are given 77 rupees 7 paise. It contains 77 rupees which we will keep on one side for once. Now, we also have 7 paise. We need to convert these into rupees.
We know that 1 rupee is equal to 100 paise.
This implies that 100 paise = 1 rupee
So, 1 paise = $\dfrac{1}{{100}}$ rupee
So 7 paise = $\dfrac{1}{{100}} \times 7$ rupee which is equal to $\dfrac{7}{{100}}$ rupee.
Now, performing the division, we have:-
$ 100\mathop{\left){\vphantom{1{7.00}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{7.00}}}}
\limits^{\displaystyle \,\,\, {.07}} \\
    \\ $
Hence, $\dfrac{7}{{100}}$ rupee = 0.07 rupee.
Now adding this to the rupee quantity we kept on one side which is 77 rupees, we have:-
77 rupees + 0.07 rupee = (77 + 0.07) rupees = 77.07 rupees.
Hence, the statement given above is true.

So, the correct answer is “Option A”.

Note: We need to remember the fact that 1 rupee is equal to 100 paise.
We must read the question properly as there might be cases that we are already given no in the question. For example:- 77 rupees 7 paise is not equal to Rs. 77.07, then we will have the answer as false.
Sometimes, it might be a possibility that the amount on the right side is totally in paise. So then, we will need to convert the rupees into paise to evaluate the answer and vice-versa. To convert the amount of rupees into paise, we will multiply the quantity by 100. Example 8 rupees = 8 $ \times $ 100 paise = 800 paise.
Fun Fact:- There is different currency in different countries like India has rupee, US has dollar, Britain has pound and so on.