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

Answer

A is correct answer

Similar CLAT Doubts

The ratio of incomes of P, Q and R is 3 : 7 : 4 and the ratio of their expenditures is 4 : 3 : 5. If P saves 14(2/7)% of his income, then find the ratio of the saving done by P, Q and R.

Top Courses for CLATView all

Legal Reasoning for CLAT

Lucent for GK

Current Affairs: Daily, Weekly & Monthly

CLAT Mock Test Series 2025

Crash Course for CLAT

Top Courses for CLAT

Top Courses for CLAT

Suggested Free Tests

Related Content

About CLAT

CLAT Preparation Material

CLAT Mock Tests

Other Popular Exams

Other LLB Exams

Company