The monthly income of Kamal and Kobita are in the ratio of 10 7 and their ratio of their savings is 5 2. If each of them expend Rs. 500 in the month, the monthly income of Kamal is -a)7200b)1000c)24000d)5604Correct answer is option 'B'. Can you explain this answer?

Question

The monthly income of Kamal and Kobita are in the ratio of 10  7 and their ratio of their savings is 5  2. If each of them expend Rs. 500 in the month, the monthly income of Kamal is -a)7200b)1000c)24000d)5604Correct answer is option 'B'. Can you explain this answer?

Answer

1000

Answer

The monthly income ratio of Kamal and Kobita are in the ratio,
⇒ 10 ∶ 7
Their Savings ratio = 5 ∶ 2
Let Kamal’s monthly income be Rs. 10x
Kobita’s monthly income = Rs. 7x
Kamal’s monthly savings = Rs. 5y
Kobita’s monthly savings = Rs. 2y
According to the problem,
⇒ 10x - 5y = 500 ----(1)
According to problem,
⇒ 7x - 2y = 500 ----(2)
From (2) - (1) we get,
⇒ 3x = 300
⇒ x = 100
∴ Monthly income of Kamal = 10 × 100 = Rs. 1000

Answer

Monthly income = saving + expenditure
for kamal income 10 x = 5x + 5x but expend in the month is 500 which is equal to 5x.
hence x =500/5 =100
hence income = 10×100=1000..... answer

Answer

Let kamal's income=10x and kobita's income =7x
kamal's saving=5x and kobita's saving=2x
ATQ, 10x-5x=500
so x=100
Therefore Kamal's income=10x=10×100=1000

Answer

Given ratios:
Income of Kamal : Income of Kobita = 10 : 7
Savings of Kamal : Savings of Kobita = 5 : 2

Let's assume their monthly incomes as 10x and 7x respectively.
So, the savings of Kamal and Kobita will be 5x and 2x respectively.

Expenses:
Both Kamal and Kobita spend Rs. 500 each in a month.

To find the monthly income of Kamal, we need to subtract the expenses from his income.

Let's calculate the monthly income of Kamal:

Income of Kamal = 10x
Expenses of Kamal = Rs. 500

Savings of Kamal = Income of Kamal - Expenses of Kamal
= 10x - 500

Since the ratio of savings of Kamal and Kobita is 5 : 2, we can write:

(10x - 500)/(7x - 500) = 5/2

Cross-multiplying the equation, we get:

2(10x - 500) = 5(7x - 500)
20x - 1000 = 35x - 2500
15x = 1500
x = 100

Substituting the value of x in the equation for the income of Kamal:

Income of Kamal = 10x
= 10 * 100
= Rs. 1000

Therefore, the monthly income of Kamal is Rs. 1000.

Hence, the correct answer is option B) 1000.

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