Two craftsmen, A and B, are paid a total of ₹700 per week by their employer. If A is paid 250% of the sum paid to B, how much is A paid per week?

Two craftsmen, A and B, are paid a total of ₹700 per week by their employer.

A+B = ₹700    Eq.(i)

If A is paid 250% of the sum paid to B.

A = 250% of B

$$A=\frac{250}{100}\times B$$

$$A=\frac{5}{2}\times B$$

$$A=2.5B$$    Eq.(ii)

Put Eq.(ii) in Eq.(i).

2.5B+B = ₹700

3.5B = ₹700

B = $$\frac{700}{3.5}$$

= $$\frac{7000}{35}$$

B = 200    Eq.(ii)

Put Eq.(ii) in Eq.(i).

A+₹200 = ₹700

A = ₹700-₹200

So A paid per week = ₹500