The monthly incomes of two friends Mohan and David are in the ratio 6 : 8, respectively and each of them saves ₹51,000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Mohan (in ₹).
76,500
Let Mohan's income be \(6x\) and David's income be \(8x\).
Savings = Income − Expenditure, and each saves ₹51,000, so their expenditures are \(6x - 51000\) and \(8x - 51000\).
The ratio of expenditures is 2 : 4, i.e. 1 : 2: \(\dfrac{6x - 51000}{8x - 51000} = \dfrac{1}{2}\).
Cross-multiplying: \(2(6x - 51000) = 8x - 51000\), i.e. \(12x - 102000 = 8x - 51000\).
Solving: \(4x = 51000\), so \(x = 12750\).
Mohan's income: \(6 \times 12750 = 76500\).
Hence, Mohan's monthly income is ₹76,500.
Similar Questions
- If A : B = 3 : 5 and B : C = 4 : 7, then the value of A : B : C is:
- If $a : b :: 3 : 4$ then the value of the expression $\frac{5a - 3b}{7a + 2b}$ is:
- If $0.75 : x :: 25 : 8$, then what is the value of $x$?
- If $a : b = 7 : 9$ and $b : c = 1 : 12$, then $a : b : c$ is:
- If $\frac{A}{4} = \frac{B}{5} = \frac{C}{6}$, then $A : B : C$ is:
- If a map of a city was drawn on a scale of 0.05 centimetre to kilometre, what area would represent a country if it has an area of 8000 square kilometres?
- If A : B = 1 : 3, B : C = 5 : 4 and C : D = 2 : 3, then the value of A : B : C : D will be:
- An amount of money is to be divided between A, B and C in the ratio of 5 : 2 : 8. If the difference between the shares of A and C is ₹7,740, then what will be the total amount?
- If a vessel gets filled by 15 glasses of milk where capacity of each glass is 1.5 L, how many glasses are required to fill the same vessel if the capacity of each glass is 0.5 L?
- If 330 pencils were distributed among Rajesh, Suresh and Chandan in the ratio of $\frac{1}{4} : \frac{2}{3} : \frac{1}{3}$ respectively then how many pencils did Chandan get?
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:
