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One ball pen costs Rs. $x$ one fountain pen costs Rs. $y$ Find the cost of $y^{2}$ ball pens and $x^{2}$ fountain pens.

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x^{2} y^{2} + x^{2} y

x^{2} y - x^{2} y

x^{2} y + y^{2} x

x^{2} y - y^{2} x

answer is C.

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Detailed Solution

Concept: Finding the number of by general formula, when cost of one pen is given
Given,
Ball pen,
The cost of one ball pen is given

x

,
The value we have to find is two ball pen i.e.

y^{2}

Applying the unitary method,
Cost of one ball pen is

x,

Cost of two ball pen is

2 x,

Similarly, cost of n ball pens is

nx,

Cost of

y^{2} ball pens is y^{2} x,

Fountain pen,
Cost of one fountain pen is y , and we have to find the value of

x^{2} fountain pen

Applying Unitary method,
One pen cost y, two pen cost 2y
Similarly, cost of a pen,
So, the cost of

x^{2}

number of fountain pen,

x^{2} y

So, the total number of ball pen and fountain pen is

x^{2} y + y^{2} x

Hence, the correct option is 3.

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