Income Ratios of Four Persons

CMAT 2025 · Quantitative Techniques & Data Interpretation · Medium · Quantitative Aptitude

Anand's income is ₹ 140 more than Biren's income and Chandu's income is ₹ 80 more than Deepak's. If the ratio of Anand's & Chandu's income is 2:32 : 3 and the ratio of Biren's and Deepak's income is 1:21 : 2, then the incomes of Anand, Biren, Chandu and Deepak are respectively:

  1. A.

    ₹260, ₹120, ₹320 and ₹240

  2. B.

    ₹300, ₹160, ₹600 and ₹520

  3. C.

    ₹400, ₹260, ₹600 and ₹520

  4. D.

    ₹320, ₹180, ₹480 and ₹360

Answer

C

Explanation

Let Biren's income =x= x, Deepak's income =2x= 2x. Anand's income =x+140= x + 140. Chandu's income =2x+80= 2x + 80.

Given ratio of Anand to Chandu =2:3= 2 : 3: x+1402x+80=23  ⟹  3x+420=4x+160  ⟹  x=260\frac{x + 140}{2x + 80} = \frac{2}{3} \implies 3x + 420 = 4x + 160 \implies x = 260

Incomes:

  • Anand =260+140=₹400= 260 + 140 = ₹400
  • Biren =₹260= ₹260
  • Chandu =2(260)+80=₹600= 2(260) + 80 = ₹600
  • Deepak =2(260)=₹520= 2(260) = ₹520

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