a) 300, 660 & 350
b) 375, 600 & 300
c) 355, 600 & 300
d) 305, 600 & 370
correct answer is: b) 375, 600 & 300
Explanation
We know,
1 coin of 1 rupee = 1₹
2 coins of 50p = 1₹
4 coins of 25P = 1₹
The ratio of coin is 5 : 8 : 4
Let,
Total 1 rupee coins be ‘5x’
Total 50p coins be ‘8x’
Total 25p coins be ‘4x’
So,
\left(5x\ \div\ 1\right) coin of 1 rupee =\ 5x
\left(8x\ \div\ 2\right) coins of 50p =\ 4x
\left(4x\ \div\ 4\right) coins of 25p =\ x
According to the question,
5x+\ 4x+x=750
\rightarrow\ 10x\ =\ 750
\rightarrow\ x\ =\ \frac{750}{10}
\rightarrow\ x\ =\ 75
\therefore Total 1 rupee coins is ‘5x’ or \left(5\times75\right) coins
\rightarrow\ 375 coins
\therefore Total 50p coins is ‘8x’ or \left(8\times75\right) coins
\rightarrow\ 600 coins
\therefore Total 25p coins is ‘4x’ or \left(4\times75\right) coins
\rightarrow\ 300 coins
Ans: Total 1 rupee coins is 375,
Total 50 P coins is 600,
Total 25 P coins is 300.