Select the correct answerThe 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.2000RS.4800RS.8000RS.1500RS.3400
Question
Select the correct answerThe 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.2000RS.4800RS.8000RS.1500RS.3400
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, we get: 6x - 2y = 2400 ---- (Equation 3)
Step 5: Now, subtract Equation 2 from Equation 3, we get: x = 1600
Step 6: Substitute x = 1600 in Equation 1, we get: 3*1600 - y = 1200 4800 - y = 1200 y = 4800 - 1200 y = 3600
So, the income of P is 3x = 3*1600 = Rs.4800.
So, the correct answer is Rs.4800.
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