Question

A bag contains rupee, fifty paisa and twenty five paisa coins whose values are in the ratio of 4 : 5 : 6. If the total number of coins are 760, find the number of 50 paisa coins.
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Answer 1

Answer:

200

Step-by-step explanation:

Given that a bag contains rupee, fifty paise and twenty-five paise coins whose values are in the ratio of 4 : 5 : 6. The total number of coins is 760.

We are to find the number of 50 paise coins.

We know that

50 paise = one-half of a rupee and 25 paise = one fourth of a rupee.

So, the ratio of the number of coins of one rupee, 50 paise and 25 paise is

4:5\times2:6\times4=4:10:24=2:5:12.4:5×2:6×4=4:10:24=2:5:12.

Let 2x, 5x and 12x represents the number of a rupee, 50 paise and 25 paise respectively.

Then, according to the given information, we have

\begin{gathered}2x+5x+12x=760\\\\\Rightarrow 19x=760\\\\\Rightarrow x=\dfrac{760}{19}\\\\\Rightarrow x=40.\end{gathered}

2x+5x+12x=760

⇒19x=760

⇒x=

19

760

⇒x=40.

Therefore, the number of 50 paise coins is given by

n=5\times 40=200.n=5×40=200.

Thus, the required number of 50 paise coins is 200.