a bag contains rs 112 in the form of 1 rupees, 50 paisa and 10 paisa coin in the ratio 3:8:10, what is the number of 50 paise coin?
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Question:
a bag contains rs 120 in the form of 1 rupees, 50 paisa and 10 paisa coin in the ratio 3:8:10, what is the number of 50 paise coin?
[ note: Rs 112 is changed with Rs 120 because the total number of 50 paise coin can not be in float number. It should be a number which is divisible by 12. ]
Answer:
The total number of 50 paise coin = 80
Step-by-step explanation:
Let, required number of coins are 3x, 8x, 10x.
Bag contains rs 120
So, total Rs = 120
And we know that 50 paisa = 50/100 Rs, 10 paisa = 10/100 Rs
According to the question,
(3x * 1) + (8x * 50/100) + (10x * 50/100) = 120
⇒ 3x + 4x + 5x = 120
⇒ 12x = 120
⇒ x = 10
So, the total number of 50 paise coin = 10 * 8 = 80
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