Question

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

a. 280

b. 480

c. 200

d. 80

Answer 1

Answer:  The correct option is

(c) 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

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

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

$2x+5x+12x=760\\\\\Rightarrow 19x=760\\\\\Rightarrow x=\dfrac{760}{19}\\\\\Rightarrow x=40.$

Therefore, the number of 50 paise coins is given by

$n=5\times 40=200.$

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

Option (c) is CORRECT.