Question

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 $2 : 3$ and the ratio of Biren's and Deepak's income is $1 : 2$, then the incomes of Anand, Biren, Chandu and Deepak are respectively:

Accepted Answer

C. Let Biren's income $= x$, Deepak's income $= 2x$. Anand's income $= x + 140$. Chandu's income $= 2x + 80$. Given ratio of Anand to Chandu $= 2 : 3$: $$\frac{x + 140}{2x + 80} = \frac{2}{3} \implies 3x + 420 = 4x + 160 \implies x = 260$$ Incomes: - Anand $= 260 + 140 = ₹400$ - Biren $= ₹260$ - Chandu $= 2(260) + 80 = ₹600$ - Deepak $= 2(260) = ₹520$

Income Ratios of Four Persons

Explanation

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