Krishna has a few coins of 1 rupee, 50 paise and 25 paise in the ratio $$\frac14:\frac12:\frac12$$​. If the number of 25 paise coins is 100 , then the total amount with Krishna is:

Correct option is C

Given:

The ratio of 1 rupee : 50 paise : 25 paise coins is $$\frac{1}{4} : \frac{1}{2} : \frac{1}{2}$$ 

the number of 25 paise coins is 100

Solution:

Given ratio is $$\frac{1}{4} : \frac{1}{2} : \frac{1}{2}$$ This simplifies to: $$1:2:2$$ 

​Let the number of 1 rupee coins be $x$, the number of 50 paise coins be $2x$, and the number of 25 paise coins be $2x$.

​the number of 25 paise coins is 100. So, $2x=100$

x = 50 

Number of 1 rupee coins = $x=50$

​Number of 50 paise coins = $2x=100$

​Number of 25 paise coins = $2x=100$

now, value of coins

Value of 1 rupee coins: $50\times 1=50$ rupees

​Value of 50 paise coins: $100\times 0.50=50$ rupees

Value of 25 paise coins: $100\times 0.25=25$ rupees

​sum of the values: 50 + 50 + 25 = 125 rupees

Thus, the total amount with Krishna is 125 rupees.​