Question

I have some 20 paise coins and an equal number of 10 paise coins. if the total amount is 300 rupee, how many coins of each denominations are there?

Answer 1

100 10 paise coins
100 20 paise coin
100 *10 = 1000
100*20= 2000
2000+1000=3000
3000 = 300 rs

Answer 2

There are coins of 1000 coins of both 10 paise and 20 paise.

Given - Type of coins and total amount

Find - Number of each type of coins

Solution - Firstly converting the value of coins to rupees from paise. So, as per the known fact, 1 rupee is equal to 100 paisa. Using this relation to convert value of coins into rupees.

20 paise coins -

Value = $\frac{1 \times 20}{100}$

Performing Division and cancelling common zero

Value = 0.2 Rupee

10 paise coins -

Value = $\frac{1 \times 10}{100}$

Performing Division and cancelling common zero

Value = 0.1 Rupee

Now, let the number of 20 paise coins be x. So, the number of 10 paise coins will also be x. Forming the equation -

$0.2x + 0.1x = 300$

Performing addition

$0.3x = 300$

Shifting 0.3 to Right Hand Side

$x = \frac{300}{0.3}$

Shifting decimal to numerator

$x = \frac{3000}{3}$

Performing division

$x = 1000$

Thus, there are 1000 coins of both 10 paise and 20 paise.

#spj2