₹4200 are divided among 'P', 'Q', 'R' and 'S' in such a way that the shares of 'P' and 'Q'. 'Q' and 'R' as well 'R' and 'S' are in the ratios of 2 : 3, 4 : 5 and 6 : 7 respectively the share of 'P' is:

₹640

Total Amount Divided = 4200

P:Q = 2:3 ⇒ Q = 3P/2

Q:R = 4:5 ⇒ 3P/2 = 4R/5 ⇒ R =15P/8

R:S = 6:7 ⇒ 15P/8 = 6S/7 ⇒ S = 105P/48

⇒Also, P+Q+R+S = 4200

P + 3P/2 + 15P/8 + 105P/48 = 4200

48P + 72P + 90P + 105P = 48*4200

315P = 48*4200

P = 640

The correct answer is Option (2) → ₹640