1.

The income of Ravi is 50% more than Lalit's income and their expenditures are in the ratio 5 : 3. If each person saves Rs. 2,000, then what will be the income Ravi?1. Rs. 4,0002. Rs. 12,0003. Rs. 18,0004. Rs. 10,0005. Rs. 12,500

Answer» Correct Answer - Option 2 : Rs. 12,000

Given:

The income of Ravi is 50% more than Lalit’s income

Their expenditures are in the ratio 5 : 3.

Calculation:

Income of Ravi = (100 + 50)/100 of Lalit’s income

⇒ Ravi/Lalit = 3/2

Let income of Ravi and Lalit be 3x and 2x respectively

Also, their expenditure is 5y and 3y

Now, according to equation,

⇒ 3x – 5y = 2000      ----(1)

⇒ 2x – 3y = 2000      ----(2)

Now, Multiplying equation (1) by 3 and equation (2) by 5.

⇒ 9x – 15y = 6000       ----(3)

⇒ 10x – 15y = 10000      ----(4)

Now, subtract from equation (4) from equation (3)

⇒ x = 4000

Then, income of Ravi = 3x = 3 × 4000

⇒ Rs. 12,000

∴ Ravi’s income is Rs. 12,000 rupees.


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