Question 111

A bag contains different types of old coins in the ratio 11:13:12 whose values are 3 rupees, 4 rupees and 5 rupees respectively. If the total value of the coins is Rs.725, find the number of coins of 3 rupees coin.

Solution

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Let number of 3 rupees, 4 rupees and 5 rupees respectively be $$11x,13x$$ and $$12x$$

Total amount = $$(3\times11x)+(4\times13x)+(5\times12x)=725$$

=> $$33x+52x+60x=725$$

=> $$x=\frac{725}{145}=5$$

$$\therefore$$ Number of 3 rupees coins = $$11\times5=55$$

=> Ans - (B)

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