A sum of money was divided between Cyrus, Rohan, and Mishti. The ratio of the sums received by Cyrus and Rohan was 3 : 2, while the ratio of the sums received by Rohan and Mishti was 7 : 12. If the sum received by Cyrus was ₹1,800 less than the sum received by Mishti, how many rupees did Rohan receive as his share?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹8,400.
Cyrus : Rohan = 3 : 2 and Rohan : Mishti = 7 : 12
⇒ Cyrus : Rohan : Mishti = 21 : 14 : 24
Let Cyrus's share = 21x; Rohan's share = 14x; and Mishti's share = 24x
24x - 21x = 1800
⇒ 3x = 1800
⇒ x = 1800/3 = 600
Rohan's share = 14x = 14 × 600 = 8400