Question
A bag contains certain number of coins of different
denominations. The ratio of the number of Rs. 1 coins to Rs. 2 coins is 4 : 5, respectively and the ratio of number of Rs. 2 coins to Rs. 10 coins is 5 : 3 respectively. Find the total value of the Rs. 10 coins, if the total value of the Rs. 2 coins in the bag is Rs. 120.Solution
Ratio of the number of coins of denominations Rs. 1 : Rs. 2 : Rs. 10 = 4 : 5 : 3
Let, the number of coins of Rs. 1, Rs. 2 and Rs. 10 in the bag be 4x, 5x and 3x.
Since, the total value of Rs. 2 coins in the bag is Rs. 120
So, value of Rs. 2 coins = 5x × 2 = 10x
10x = 120, x = 12
Therefore, number of Rs. 10 coins in the bag 3x = 36
So, required value of Rs. 10 coins = 3 × 12 × 10 = Rs. 360
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