Question

a bag contains re 1, rs 2, and rs 5 coins if 40% of the coins are of rs 1,35% of the coins are of rs 2 and the remaining are rs 5 coins then what is the percentage of rs 5 coins in the bag​

Answer 1

Step-by-step explanation:

Given :-

A bag contains Rs. 1, Rs. 2, and Rs. 5 coins and 40% of the coins are of Rs. 1, 35% of the coins are of Rs. 2 and the remaining are Rs. 5 coins.

To find :-

What is the percentage of Rs. 5 coins in the bag ?

Solution :-

A bag contains Rs. 1, Rs. 2, and Rs. 5 coins

Let the total coins are X

Number of Rs. 1 coins = 40% of the total coins

=>40% of X

=> 40% × X

=> (40/100)×X

=> 2X/5

And

Number of Rs. 2 coins = 35% of the total coins

=> 35% of X

=> 35% × X

=> (35/100) × X

=> 7X/20

Remaining coins are

=> X - [(2X/5)+(7X/20)]

=> X - [8X+7X]/20

=> X - (15X/20)

=> (20X-15X)/20

=> 5X/20

=> (5X/20)×(5/5)

=>(5X×5)/(20×5)

=> 25X/100

=>(25/100)×X

=> 25% of X

Remaining ae Rs. 5 coins

So , Number of Rs. 5 coins = 25%

Alternative Method :-

Let the total coins be 100%

Number of Rs. 1 coins = 40%

Number of Rs. 2 coins = 35%

Total = 40% +35% = 75%

Remaining = 100% -75% = 25%

So, Rs. 5 coins = 25%

Answer:-

The number of Rs. 5 coins in the bag 25% of the total coins in the bag