₹ 1,800 is divided among Nitin, Tushar and Gitanjali. The share of Gitanjali is 5/4 of the sum of the shares of Nitin and Tushar. What is the share of Gitanjali ?

Correct option is D

Given:

Total amount = ₹ 1,800

​Solution:​

Let shares be N (Nitin), T (Tushar), G (Gitanjali)

G $$= \dfrac{5}{4}(N+T)$$​​

Total: N + T + G = 1800

Substitute N+T = $$\dfrac{4}{5}G$$​ into total.

N+T+G =$$\frac{4}{5}G + G = \frac{9}{5}G = 1800$$​​
G $$= 1800 \times \frac{5}{9} = 1000.$$​​