Question

A bag contains rs. 210 in the form of one­rupee coins, 50 paise coins and 25 paise coins in the ratio 3 : 5 : 6. thenumber of 25 paise coins in the bag is

Answer 1

total RS  = RS 210 
               = 210 × 100 = 21000 paise 
let the no. of coins be x 
∴ 100 p = 100 × 3x = 300x 
∴ 50 p = 50 × 5x = 250x 
∴ 25 p = 25 × 6x = 150x 
∴ totat amount = 300x + 250x + 150x = 21000 
                             x = 21000 ÷ 700 = 30 
∴100p = 1 rs = 3x = 3 × 30 = 90 
∴50 p = 5x = 5 × 30 = 150 
∴25p = 6x = 6 × 30 = 180

Answer 2

total paise⇒210 × 100 = 21000 paise 
let the no. of coins be a
⇒100 p = 100 × 3 a = 300 a 
⇒50 p = 50 × 5 a = 250 a 
⇒25 p = 25 × 6 a = 150 a 
⇒total amount = 300 a + 250 a + 150 a = 21000 
⇒x = 21000 ÷ 700 = 30 
∴100 p⇒ 1 rs = 3 a = 3 × 30 = 90 
∴50 p⇒ 5 a = 5 × 30 = 150 
∴25 p⇒ 6 a= 6 × 30 = 180