Question

The number of 1 re, 50 paise and 25 paise coins in a bag is in the ratio 3 : 4 : 5. If the bag has rs. 300, find the number of 50 paise coins.

Answer 1

Number of 50 paise coins = 100

Step-by-step explanation:

We are given that the number of 1 rupee, 50 paise and 25 paise coins in a bag is in the ratio 3 : 4 : 5. Also, the bag has Rs. 300.

Firstly, Let the number of 1 rupee coins = $3x$

                        number of 50 paise coins = $4x$

                        number of 25 paise coins = $5x$

So, Total number of coins in a bag = $3x + 4x+5x$ = $12x$

Now, the equation for number of 50 paise coins in a bag is given by;

  (Number of 50 paise coins ÷ Total number of coins) $\times$ Total rupees in bag

         = $\frac{4x}{12x} \times 300$ = $\frac{300}{3}$ = 100

Therefore, number of 50 paise coins in a bag is 100.