Bissoy.com
Doctors Medicines MCQs Q&A

The income of A is 20% less than the income of B and the income of C is 70% of the sum of incomes of A and B. The income of D is 25% more than the income of C. If the difference between the incomes of B and D is Rs. 23000, then what is the income (in Rs.) of A? 

The income of A is 20% less than the income of B and the income of C is 70% of the sum of incomes of A and B. The income of D is 25% more than the income of C. If the difference between the incomes of B and D is Rs. 23000, then what is the income (in Rs.) of A?  Correct Answer 32000

Given:

The income of A is 20% less than the income of B.

The income of C is 70% of the sum of incomes of A and B.

The income of D is 25% more than the income of C.

The difference between the incomes of B and D = Rs. 23000

Calculation:

Let the income be x

According to the question

The income of A is 20% less than the income of B 

⇒ (20/100)x = 1x/5

The income of B = 5x

The income of A = (5x – x) = 4x

Now,

The income of C is 70% of the sum of incomes of A and B.

⇒ (5x + 4x) of 70%

⇒ (9x × 70/100) = 63x/10

The income of D is 25% more than the income of C.

⇒ (25/100)x = 1x/4

The income of C = 63x/10 

The income of D = (63x/10 × 5/4)x 

⇒ 63x/8

The ratio of income of A, B, C and D = (4x : 5x : 63x/10 : 63x/8)

Now, The LCM of 10 and 8 is 40

The income of A = 4x = (4 × 40) = 160x

The income of B = 5x = (5 × 40) = 200x

The income of C = (63x/10) = (63 × 40)/10 = 252x

The income of D = (63x/8) = (63 × 40)8 = 315x

The difference between the incomes of B and D = Rs. 23000

⇒ (315 – 200)x = Rs. 23000

⇒ 115x = Rs. 23000

⇒ x = Rs. (23000/115)

⇒ x = Rs. 200

The income of A = Rs. (160 × 200)

⇒ Rs. 32000

∴ The required income of A is Rs. 32000

Related Questions

From the given table, what is the percentage of students scoring 40 or more, but less than 70. Scores Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 No. of Students 12 19 22 31 38 46 50
The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D.  Whose income is the highest?
The sum of incomes of A and B is Rs. 165000. A spends 70% and B spends 80% of their incomes. If savings of A is 25% more than that of B, then what is the difference between their incomes?
The income of A is 20% more than that of B, and the income of C is 10% less than the sum of the incomes of A and B. If the income of C is Rs. 19,800, then by what percentage is the income of C more than the income of B?
Study the table and answer the question. The table shows the daily income of 50 persons. Income (Rs.) No. of persons less than 200 12 less than 250 26 less than 300 34 less than 350 40 less than 400 50 How many persons earn Rs.250 or more but less than Rs.350 daily?
The table shows the daily income of 50 persons. Study the table and answer the question. Income (Rs.) No. of persons less than 200 12 less than 250 26 less than 300 34 less than 350 40 less than 400 50 What is the ratio of the number of persons earning less than Rs. 200 to the number of persons earning Rs. 300 or more?
The table shows the daily income (in Rs.) of 50 persons. Study the table and answer the question: Income (Rs) No. of persons Less than 200 12 Less than 250 26 Less than 300 34 Less than 350 40 Less than 400 50 How many persons earn Rs. 200 or more but less than Rs. 300? 
The income of A is 25% more than that of B and the income of C is 65% less than the sum of the incomes of A and B. Income of C is what percent less than the income of A?
From the following table, how many patients were in the age group 40 – 60? Age (years) Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 No. of patients 11 15 22 29 35 45 50
The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.