Question

a bag contains 10 paise,25 paise and 50 paise coins. the number of 25 paise coins is three times the number of 10 paise coins if 50 paise coins are 5 more than 25 paise coins and the total value of the money in the bag is ₹120, find the number of 10 paise coins.

Answer 1

let the no. of 10 paise be x
then 25 paise is 3x
and 50 paise is 3x+5
convert all paise in rupees
then 1/4(3x)+1/10(x)+1/2(3x+5)=120
hence x=50
therefore 10 paise coin is 50

Answer 2

Given:

Total value of money = ₹ 120

Number of 25paise coins = 3(Number of 10 paise coins)

Number of 50 paise coins = 5 + Number of 25 paise coins

To find:

The number of 10 paise coins

Calculation:

Let the number of 10 paise coins be ‘x’, the number of 25 paise coins be y, the number of 50 paise coins be z. According to the given data

Number of 25paise coins = 3(Number of 10 paise coins)

=> y = 3x

Number of 50 paise coins = 5 + Number of 25 paise coins

=> z = 5+y

=> z = 3x+5

Total value of money = ₹ 120

=> (1/10)x + (1/4)3x + (1/2)(3x+5) = 120

=> 2x+15x+10(3x+5) / 20 = 120

=> 47x+50 = 2400

=> x = 50

The number of 10 paise coins is 50