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The income of P and Q are in the ratio 3:5, and their expenditure in the ratio 1:2, If P saves RS.1200/- and Q saves RS.800/- find the income of P.OptionsRS.1500RS.3400RS.2000RS.4800RS.8000

Question

The income of P and Q are in the ratio 3:5, and their expenditure in the ratio 1:2, If P saves RS.1200/- and Q saves RS.800/- find the income of P.OptionsRS.1500RS.3400RS.2000RS.4800RS.8000

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Solution

Let's solve this step by step:

Step 1: Let's assume the income of P and Q as 3x and 5x respectively. Similarly, let's assume their expenditures as y and 2y respectively.

Step 2: According to the problem, P saves Rs. 1200. So, we can write the equation for P as: Income - Expenditure = Savings 3x - y = 1200 ---- (Equation 1)

Step 3: Similarly, Q saves Rs. 800. So, we can write the equation for Q as: Income - Expenditure = Savings 5x - 2y = 800 ---- (Equation 2)

Step 4: Now, we have two equations and we can solve them simultaneously. Multiply Equation 1 by 2 and subtract Equation 2 from it, we get: 2*(3x - y) - (5x - 2y) = 2*1200 - 800 6x - 2y - 5x + 2y = 2400 - 800 x = 1600

Step 5: Substitute x = 1600 in Equation 1, we get: 3*1600 - y = 1200 4800 - y = 1200 y = 4800 - 1200 y = 3600

Step 6: Therefore, the income of P is 3x = 3*1600 = Rs. 4800.

So, the correct option is Rs. 4800.

This problem has been solved

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