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Question 68
A bag has Rs.840 in the denomination of ₹ 1, ₹ 2 and ₹ 5 coins. ₹ 1, ₹ 2 and ₹ 5 coins are in the ratio of 8 : 1 : 5. How many coins of ₹ 5 are in the bag?
Solution
Let the number of Rs.1 coins, Rs.2 coins and Rs.5 coins be 8x, x and 5x respectively.
Then, Value of Rs.1 coins = 8x*1 = Rs.8x
Value of Rs.2 coins = x*2 = Rs.2x
Value of Rs.5 coins = 5x*5 = Rs.25x
Then, Total money present in the bag = Rs.8x+Rs.2x+Rs.25x = Rs.35x
Given, Rs.35x = Rs.840 => x = 24
Therefore, Number of Rs.5 coins = 5x = 24*5 = 120 coins.
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