Multiple choice

The monthly Incomes of Ram and Shyam are in the ratio 8 : 5. Their monthly expenses are in the ratio 5:3. Each of them has a monthly saving of Rs. 200. Find the monthly income of Ram(in Rs. ) ?

  1. 2700

  2. 3200

  3. 3000

  4. 2800

  5. 1100
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 8x and 5x. Expenses are 5y and 3y. Savings = Income - Expense = 200. 8x - 5y = 200 and 5x - 3y = 200. Multiply first by 3 and second by 5: 24x - 15y = 600 and 25x - 15y = 1000. Subtracting: x = 400. Ram's income = 8x = 8 * 400 = 3200.

AI explanation

Let the incomes of Ram and Shyam be 8x and 5x, and their expenses be 5y and 3y. Since both save Rs. 200, we have 8x - 5y = 200 and 5x - 3y = 200. Multiplying the first equation by 3 and the second by 5 gives 24x - 15y = 600 and 25x - 15y = 1000. Subtracting the first from the second gives x = 400. Ram's monthly income is 8x, which equals 8 * 400 = Rs. 3200.

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