[150] In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all

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In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

100

150

200

Explanation:

Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.

Then, sum of their values = Rs.$(\dfrac{25x}{100} + \dfrac{10 \times2x}{100} + \dfrac{5 \times3x}{100}) = Rs.\dfrac{60x}{100}$

ஃ $\dfrac{60x}{100} = 30 $<=> x = $\dfrac{30 \times100}{60} = 50.$

Hence, the number of 5 p coins = (3 x 50) = 150.

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