Question : The ratio of the incomes of A and B in the last year was 4 : 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income in the present year is INR 24.12 lakhs, then the sum of the income (in INR lakhs) of A in the last year and that of B in the present year is:
Option 1: 10.98
Option 2: 20.52
Option 3: 22.17
Option 4: 21.28
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 20.52
Solution : The ratio of the incomes of A and B last year was 4 : 3. Let the income of A in the last year be $4x$ and B be $3x$. The ratio of income of A from the last year to the present year is 3 : 4. Here, let A's last year's income be $3k$ and present income be $4k$. So, $3k = 4x$ $⇒ k = \frac{4x}{3}$ $\therefore$ Present income $= 4k = 4×\frac{4x}{3}$ The ratio of income of B the last year to the present year is 5 : 6. Here, let B's last year's income be $5z$ and present income be $6z$. So, $5z = 3x$ $⇒ z = \frac{3x}{5}$ $\therefore$ Present income $= 6z = 6×\frac{3x}{5}$ Their total income in the present year is INR 24.12 lakhs. According to the question, $4×\frac{4x}{3}+6×\frac{3x}{5}=24.12$ $⇒\frac{80x+54x}{15}=24.12$ $⇒134x=24.12×15$ $\therefore x=2.7$ lakhs Last year's income of A $=4x=4×2.7=10.8$ lakhs Present year income of B $=6×\frac{3x}{5}=\frac{18×2.7}{5}=9.72$ lakhs Total sum = 10.8 + 9.72 = 20.52 lakhs Hence, the correct answer is 20.52.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : The ratio of the incomes of A and B in 2020 was 5 : 4. The ratios of their individual incomes in 2020 and 2021 were 4 : 5 and 2 : 3, respectively. If the total income of A and B in 2021 was INR 7,05,600, then what was the income (in INR) of B in 2021?
Question : The ratio of the incomes of two employees is 7 : 4, and the ratio of their expenditures is 3 : 1. If each of them manages to save INR 4800 per month, find the sum of their monthly incomes (in INR).
Question : A and B have their monthly incomes in the ratio of 8 : 5, while their monthly expenditures are in the ratio of 5 : 3. If they have saved INR 12,000 and INR 10,000 monthly, respectively, then the difference in their monthly incomes is:
Question : The annual incomes of Amit and Veeri are in the ratio of 3 : 2, while the ratio of their expenditures is 5 : 3. If at the end of the year, each saves INR 1,000, the annual income of Amit is:
Question : A's income is INR 140 more than B's income, and C's income is INR 80 more than D's. If the ratio of A's and C's incomes is 2 : 3 and the ratio of B's and D's incomes is 1 : 2, then the incomes of A, B, C, and D are, respectively:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile