Question : A bag contains Rs. 840 in the form of 2 rupee, 5 rupee and 10 rupee coins. The number of coins of 2 rupee, 5 rupee and 10 rupee are in the ratio of 5 : 7 : 6. What is the total number of coins in the bag?
Option 1: 158
Option 2: 132
Option 3: 102
Option 4: 144
Correct Answer: 144
Solution :
Given: The ratio of coins of Rs. 2, Rs. 5, and Rs. 10 = 5 ∶ 7 ∶ 6
According to the ratio given:
Let the 2 Rs, 5 Rs. and 10 Rs. coin be = $5x, 7x$ and $6x$ respectively
Total rupees = Rs. 840
⇒ $5x \times 2 + 7x \times 5 + 6x \times 10 = 840$
⇒ $x = \frac{840}{105} = 8$
Total number of coins in bag = $5x+7x+6x=18x=18\times8=144$
Hence, the correct answer is 144.
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