Question

Express 350 paise as Rupees (Rs) using decimals.

Answer 1

Hint: Recall the relation between paisa and Rupees and then proceed by converting the given amount in paise to Rupees.

Complete step-by-step answer:
In Indian currency, the relationship between rupee and paise is that one rupee is hundred paisa, that is:

\[1Rs = 100paisa{\text{ }}...........{\text{(1)}}\]

From equation (1), we obtain the value of one paisa in terms of rupees.
\[1paisa = \dfrac{1}{{100}}Rs{\text{ }}..........{\text{(2)}}\]

Now we can simplify the fraction in the left-hand side to decimal value.
Any number when divided by hundred, we move the decimal point by two places to the left to obtain the result.

Hence, the value of \[\dfrac{1}{{100}}\] is obtained by moving the decimal point in 1.0 to two places to the left to obtain 0.01.
Then, from equation (2), we have:
\[1paisa = 0.01Rs{\text{ }}..........{\text{(3)}}\]

Now, to find the value of 350 paisa in Rupees, we just multiply both sides of equation (3) with 350 and simplify.

Multiplying both sides of equation (3) with 350, we get:
\[350 \times 1paisa = 350 \times 0.01Rs\]

Any number multiplied with one is the number itself, hence we get:
\[350paisa = 350 \times 0.01Rs{\text{ }}..........{\text{(4)}}\]

If any number is multiplied with 0.01, the result is obtained by moving the decimal point in the number by two places to the left. Hence, in equation (4), 350 is multiplied with 0.01, we move the decimal point in 350.0 by two places to the left to obtain 3.50.
\[350paisa = 3.50Rs\]

Hence, 350 paisa are 3.50 Rs.
Therefore, the correct answer is 3.50 Rs.

Note: This question requires knowledge of the relationship between currencies in India. We can also solve directly by dividing the given paisa by 100 to obtain the answer in Rupees. The zeros at the right end after the decimal places can be ignored as well.