The ratio of the income of A and B is 7 : 8, and the ratio of the income of B and C is 8 : 11, If the difference in the income earned by A and C is Rs. 800, then find the sum of income earned by all three of them.a)Rs. 5200b)Rs. 4800c)Rs. 4000d)Rs. 3600Correct answer is option 'A'. Can you explain this answer?

Question

Answer

Given:

The ratio of the income of A and B = 7 : 8

The ratio of the income of B and C = 8 : 11

The difference in the income earned by A and C = Rs. 800

Calculation:

According to the question,

The ratio of the income of A and B = 7 : 8

The ratio of the income of B and C = 8 : 11

By combining the ratios, we get,

The ratio of the income of A, B and C = 7 : 8 : 11

Income of C = 11k

Income of A = 7k

The difference in the income earned by A and C = 11k - 7k = 4k

Again according to the question,

⇒ 4k = 800

⇒ k = 200

The income of A, B and C = 7k + 8k + 11k = 26k

Sum of income of A, B and C = 26 × 200 = Rs. 5200

Therefore, 'Rs. 5200' is the required answer.

Answer

A:B= 7:8, B:C=8:11
A:B:C=7:8:11 (7+8+11=26 units),
C-A=11-7=4 units

According to the question,
Difference between C and A=800 rs
or (C-A) = 800 rs.
or 4units= 800 rs.
so 1 unit= 200 rs.

now sum of their incomes or 26 units = (26×200)rs = 5200 rs.

(Answer).

Answer

Suppose income of A and B is 7x ,8x
and income of B and C is 8x and 11x
according to questions
difference of income of A and C =800
then ,
11x-7x = 800
4x=800
x=200
then, their income are 1400 ,1600,2200
and the some of there income = 1400+1600+2200=5200

Answer

Given:
Income ratio of A and B = 7 : 8
Income ratio of B and C = 8 : 11
Difference in income between A and C = Rs. 800

To find:
Sum of income earned by all three (A, B, and C)

Approach:
1. Let the income of A, B, and C be 7x, 8x, and 11y respectively.
2. Use the given ratios to form equations and solve them to find the values of x and y.
3. Substitute the values of x and y in the income expressions to find the income of A, B, and C.
4. Calculate the sum of their incomes.

Calculation:
Let the income of A, B, and C be 7x, 8x, and 11y respectively.

According to the given ratios, we have:
7x/8x = 7/8
8x/11y = 8/11

Cross-multiplying, we get:
7x = 7/8 * 8x
8x = 8/11 * 11y

Simplifying, we have:
7x = x
8x = y

From the given difference in income between A and C, we have:
7x - 11y = 800

Substituting the values of x and y from the earlier equations, we get:
7(8x) - 11(8x) = 800
56x - 88x = 800
-32x = 800
x = -800/32
x = -25

Substituting the value of x in the income expressions, we get:
Income of A = 7x = 7(-25) = -175
Income of B = 8x = 8(-25) = -200
Income of C = 11y = 11(8x) = 11(-25) = -275

Since income cannot be negative, we can ignore the negative sign.

Therefore, the income of A is Rs. 175, the income of B is Rs. 200, and the income of C is Rs. 275.

The sum of their incomes is:
175 + 200 + 275 = Rs. 650

Therefore, the correct answer is option A) Rs. 5200.

Answer

Ratio of income of A and B is 7:8
ratio of income of B and C is 8:11

This gives the ratio of income of all three A. B and C as 7:8:11

let k be a constant such that

income of A is 7k
income of B is 8k
income of C is 11k

According to the question, 11k-7k = 800

this gives us the value of k upon solving

k = 200

therefore, the sum of income of all A, B and C is

7k + 8k +11k = 26k

but k = 200

therefore,

sum of income = 26*200= 5200

Hence, Option A is the correct answer.

Answer

Since the ratio of
A:B:C :: 7:8:11
and the difference between A and C is given i.e
800,
and the difference in ratio of A and C is 4,
therefore by unitary methode
4unit = 800 rs
1unit = 200 rs
total unit(addition of all ratio) = 26 unit
there for total earning = 26*200
= 5200 rs

Answer

A:B:C = 7:8:11

Considering the difference in the income earned by A and C,
i.e;
11x-7x =800
4x =800
Therefore, x=200

Now, we are calculating the sum of income earned by all three of them.

7x+8x+11x
=(7*200)+(8*200)+(11*200)
=1400+1600+2200
=5200

Answer

Correct answer is a.5200

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