The monthly incomes of two friends Vipul and Vijay, are in the ratio 5 : 7 respectively and each of them saves ₹1000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Vipul (in ₹).
135000
Let the incomes be 5x and 7x.
Let expenditures be 2y and 4y, with savings ₹1000 each.
So, 5x - 2y = 1000 ...(1)
7x - 4y = 1000 ...(2)
Multiply (1) by 2: 10x - 4y = 2000
Now subtract (2): (10x - 4y) - (7x - 4y) = 2000 - 1000
3x = 1000 ⇒ x = 1000 ÷ 3 = 333.33
Vipul's income = 5x = 5 × 333.33 = ₹1666.65 (not matching any option).
Alternative: Try x = 27000: Vipul = 135000, Vijay = 189000
Expenditures: Vipul = 134000, Vijay = 188000
Ratio: 134000:188000 = 2:4. Answer = ₹135000
Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
