Question

in a box, there are 50 paisa, 25 paisa and 10 paisa coins in the ratio of 3:6:5.if the total value of the amount is Rs-154,find total number coin??

Answer 1

let common multiple be x
so coins of 50 paisa=3x
                  25paisa=6x
                   10paisa=5x
total sum is rs 154i.e.15400 paisa
given:(50x3x)+(25x6x)+10x5x)=15400 paisa
    so  150x +150x +50x=15400 paisa
          i.e.350x=15400
           x=44
          total coins are 3x +6x + 5x
                                 =14x
                                 =14x44
                                 =616 coins

Answer 2

Answer:

We should find the total number of coins(50 paisa, 25 paisa, 10 paisa) in the box with the help of ratio value(3: 6: 5).

Final Answer: Total number of coins: 616 coins.

Step-by-step explanation:

• In our box has 50 paisa, 25 paisa, 10 paisa with the ratio 3:6:5 and their value of amount Rs.154.
• Let we consider be the common value for three coins are $x$.
• In the ratio, 50 paisa $=3x$

                            25 paisa $=6x$

                             10 paisa $=5x$

• Here we can solve this question in two ways. That is, paisa should  converted into the amount or amount should converted into paisa.
• We should convert our paisa value into the amount value method.  
• That is,           $100 paisa = Rs. 1$

                               $50 paisa = \frac{50}{100} =Rs.\frac{1}{2}$

                               $25 paisa = \frac{25}{100} =Rs.\frac{1}{4}$      

                               $10 paisa = \frac{10}{100} =Rs.\frac{1}{10}$

• Now the ratio and the total amount value can be written in the following form.

      $(3x*\frac{1}{2} )+(6x*\frac{1}{4} )+(5x*\frac{1}{10} ) =154$  

                          $(\frac{3x}{2} )+(\frac{3x}{2} )+(\frac{x}{2} ) =154$

• Here denominator is same. So we can add numerator.

                                                  $\frac{7x}{2} =154$

                                                    $x=154*\frac{2}{7}$

                          common value $x=44$

• Now we can calculate the total number of coins. That is,

                                    $3x=3*44=132$  => (50 paisa coins)

                                    $6x=6*44 = 264$  => (25 paisa coins)

                                    $5x=5*44=220$  => (10 paisa coins)

   Answer: total number of coins $=132+264+220=616 coins$