Question 14

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:

Solution

Let say income of Biren and Deepak be ₹ $$x$$ and ₹ $$2x$$

So, income of Anand = ₹ $$(140+x)$$

Income of Chandu = ₹ $$(80+2x)$$

Now, the ratio of Anand's & Chandu's income is 2 : 3

So, $$\dfrac{140+x}{80+2x}=\dfrac{2}{3}$$

or, $$420+3x=160+4x$$

or, $$420-160=4x-3x$$

or, $$x=260$$

So, incomes of Anand, Biren, Chandu and Deepak = $$\left(140+x\right),x,\left(80+2x\right),2x$$

Putting $$x=260$$,

So, incomes of Anand, Biren, Chandu and Deepak = ₹$$400$$, ₹$$260$$, ₹$$600$$, ₹$$520$$

So, option C is the correct answer.

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