Bala has thrice as much amount as that of Lalit and Lalit has 10 percent more amount than Vimal. If the average amount of all three of them is ₹1350, then how much amount is with Bala?

Correct option is C

Given:

• Bala has 3 times the amount Lalit has
• Lalit has 10% more than Vimal
• Average amount of Bala, Lalit, and Vimal = ₹1350
• Need to find the amount with Bala

Concept Used:

$$\text{Average} = \frac{\text{Sum of all amounts}}{3}$$​

Solution:

Lalit's amount = Vimal's amount × (110/100)

Bala's amount = 3 × Lalit's amount

Let Vimal's amount = ₹x

Then,
Lalit's amount = x × 110/100 =1.1x
Bala's amount = 3 × 1.1x =3.3x

Total amount = x + 1.1x + 3.3x =5.4x

Average amount = Total / 3 = 1350
So,

​$$\frac{5.4x}{3} = 1350 \\\Rightarrow 1.8x = 1350 \\\Rightarrow x = \frac{1350}{1.8} = 750$$​​

Now, Bala’s amount = 3.3x = 3.3 × 750 =₹2475

Final Answer: (C) ₹2475