A sum of ₹3200 was to be divided between A, B, C and D in the ratio 4: 6 : 7: 3. But by mistake, it was divided in the ratio 3 : 5 : 6 : 2. As a result, who got $16\frac{2}{3}$% less than her due?

D

A : B : C : D

4 : 6  : 7 : 3

⇒ (4 + 6 + 7 + 3)units = 3200

⇒ 20 units = 3200

⇒ 1 unit = 160

⇒ 4 x 160 : 6 x 160 : 7 x 160 : 3 x 160

⇒ 640 : 960 : 1120 : 480

By mistake it was divided in

A : B : C : D

3 : 5  : 6 : 2

⇒ (3 + 5 + 6 + 2) units = 3200

⇒ 16 units = 3200

⇒ 1 unit = 200

⇒ 3 x 200 : 5 x 200 : 6 x 200 : 2 x 200

⇒ 600 : 1000 : 1200 : 400

The one who got 16.67% less is

⇒ \(\frac{480 - 400}{480}\) x 100 = 16 .67%

Therefore, answer is D.