Question

Saksham, Megha and Jay went for a trip and they spend some amount in the ratio 25 ∶ 29 ∶ 28 respectively. If another friend Gauri joined the group, the average expenditure becomes Rs.5000. If the amount spent by Gauri was Rs.3600, what is the difference between the amount spent by Saksham and Jay? 
1. Rs.900
2. Rs.600
3. Rs.400
4. Rs.1200
5. Rs.300

Answer 1

Correct Answer - Option 2 : Rs.600

The average expenditure of the group after Gauri joined them is Rs.5000

∴ Total expenditure of the group = 5000 × 4 = 20,000

Amount spent be Gauri = Rs.3600

∴ Total expenditure of Saksham, Megha and Jay = 20000 – 3600 = 16400

The ratio of expenditure of Saksham, Megha and Jay = 25 ∶ 29 ∶ 28

⇒ Let there expenditure be 25x, 29x and 28x

∴ 25x + 29x + 28x = 16400

⇒ 82x = 16400

⇒ x = 200

∴ Difference between the amount spent by Saksham and Jay = (28 × 200)  – (25x × 200) = 3 × 200 = 600

∴ The difference between the amount spent by Saksham and Jay is Rs.600