If a sum of ₹6225 is divided into three parts such date 4 times the first part is equal to 5 times the second part and 7 times the third part.The difference between the first and second part (in ₹) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 525.
The sum of Rs. 6225 is divided into 3 parts.
Let the three parts be x, y, and z.
According to the question -
4x = 5y = 7z
LCM of 4, 5, and 7 = 140
4x = 140
x = 140/4 = 355
5y = 140
y = 140/5 = 28
7z = 140
z = 140/7 = 20
Now, x + y + z = 6225
According to the question -
35 + 28 + 20 = 6225
83 = 6225
1 = 6225/83
1 = 75
Now, Difference between first and second part = x - y = 35 - 28
x - y = 7
x - y = 7(75)
x - y = Rs. 525