Question

Total monthly income of A,B and C is 32200. They spend 75%, 80%, and 60% respectively. If their savings are in the ratio of 4:3:6, then calculate difference between income of A and that of B+C.​

Answer 1

Step-by-step explanation:

Given Total monthly income of A,B and C is 32200. They spend 75%, 80%, and 60% respectively. If their savings are in the ratio of 4:3:6  then calculate difference between income of A and that of B+C

• Let the salary of A B, C be a1,b1, c1 respectively.
• Now expenses will be a2,b2,c2 and the savings will be A,B,C.
• So a2 = 75% of a1
• So b2 = 80% of b1
• So c2 = 60% of c1
• Now A = a1 – a2
•            = a1 – 75/100 x a1
•              = 1/4 a1
• Now B = b1 – b2
•            = b1 – 80/100 x b1
•            = 1/5 b1
• Now C = c1 – c2
•     = c1 – 60/100 x c1
•     = 2/5 c1
• Given a1 + b1 + c1 = 32,200 --------------1
• Ratio is 4:3:6
• So we have 1/4a1: 1/5b1 : 2/5 c1 = 4:3:6
• So ¼ a1 = 4
• Or a1 = 16 p
• So 1/5 b1 = 3
• Or b1 = 15 p
• Also 2/5 c1 = 6
• Or c1 = 15 p
• Now substituting the values in 1 we get
• 16 p + 15 p + 15 p = 32,200
• 46 p = 32,200
• Or p = 700
• So salary of A = 16 x 700 = 11,200
• Salary of B = 15 x 700 = 10,500
• Salary of C = 15 x 700 = 10,500
• According to the question income of A = 11,200
• Income of B + C = 21000
• Therefore difference of A and B + C will be 9800

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Answer 2

The difference between the income of A and that of B+C = Rs 11,200 - (Rs 10,500 + Rs 10,500) = -Rs 9800.

Step-by-step explanation:

We are given that the total monthly income of A, B, and C is 32200. They spend 75%, 80%, and 60% respectively. If their savings are in the ratio of 4:3:6.

Let the savings of A, B, and C be 4x, 3x, and 6x respectively.

Also, it is given that they spend 75%, 80%, and 60% respectively.

So, Savings of A = 100% - 75% = 25%

     Savings of B = 100% - 80% = 20%

     Savings of C = 100% - 60% = 40%

Now, as we assumed that the savings of A are 4x, that means;

25% of A's income = 4x

A's income = $\frac{4x}{0.25}$ = 16x

Similarly, 20% of B's income = 3x

B's income = $\frac{3x}{0.20}$ = 15x

And, 40% of C's income = 6x

C's income = $\frac{6x}{0.40}$ = 15x

Now, the total monthly income of A, B, and C is 32200, that is;

16x + 15x + 15x = 32200

46x = 32200

$x=\frac{32200}{46}$

x = 700

So, the income of A = Rs (16 $\times$ 700) = Rs 11,200

The income of B = Rs (15 $\times$ 700) = Rs 10,500

The income of C = Rs (15 $\times$ 700) = Rs 10,500

Now, the difference between the income of A and that of B+C = Rs 11,200 - (Rs 10,500 + Rs 10,500) = -Rs 9800.