A sum of money is divided among A, B, C and D in the proportion

A sum of money is divided among A, B, C and D in the proportion of 7 : 6 : 3 : 5. If B gets ₹ 270 more than C, then share of D is

A : B : C : D = 7 : 6 : 3 : 5
Sum of ratios = 7+ 6 + 3 + 5 = 21
∴ Difference of shares of B and C = Rs. 270
If the total amount be Rs. x ,
then

=		6 − 3		x = 270
		21

⇒ 3x = 21 × 270

⇒ x =	21 × 270	= Rs. 1890
	3

∴ D’s share =	5	× 1890 = Rs. 450
	21