A sum of ₹17,600 was divided between Jeevan, Praveen, and Kanan, such that the ratio of the sums received by Jeevan and Praveen was 5 : 8, while the ratio of the sums received by Praveen and Kanan was 3 : 2. How much money did Jeevan receive as his share?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. ₹4,800.
Sum = Rs. 17600
The ratio of the sums received by Jeevan and Praveen (J : P) = 5 : 8
The ratio of the sums received by Praveen and Kanan (P : K) = 3 : 2
On equalising P, we get -
⇒ J/P = (5 × 3)/(8 × 3) = 15/24
⇒ P/K = (3 × 8)/(2 × 8) = 24/16
⇒ J : P : K = 15 : 24 : 16
Let the common ratio be x.
According to the question -
⇒ J + P + K = 17600
⇒ 15x + 24x + 16x = 17600
⇒ 55x = 17600
⇒ x = 320
Share recieved by Jeevan = 15x = 15 × 320 = Rs. 4800.