Q8 of 80 Page 56

Aravind has a kiddy bank. It is full of one-rupee and fifty paise coins. It contains 3 times as many fifty paise coins as one rupee coins. The total amount of the money in the bank is` 35. How many coins of each kind are there in the bank?

Let the number of one-rupee coins be x.

∴ The total amount in one-rupee coins = Rs x.


The number of fifty paise coins = 3x.


We know that one rupee = 100 paise.


∴ The total amount in fifty paise coins =


= Rs .


According to the given condition,


x + = 35


⇒ 2x + 3x = 70 (Multiplying by 2 throughout)


5x = 70


⇒ x = (Transposing 5 to RHS)


x = 14


The number of one-rupee coins = x = 14.


The number of fifty paise coins = 3x = 3 × 14 = 42.


∴ The number of one-rupee coins and fifty paise coins in the


bank are 14 and 42 respectively.


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