Question 53

The marked price of one pen is '₹x'. The selling price of one packet of 'x' pens, after a discount of 15%, is ₹1,360. What is the value of 'x'?

Solution

The selling price of one packet of 'x' pens, after a discount of 15%, is ₹1,360.

Let's assume the MRP of one packet of 'x' pens is 'y'.

y of (100-15)% = 1360

y of 85% = 1360

$$y\times\frac{85}{100}=1360$$

$$y\times\frac{1}{100}=16$$

y = 1600

The marked price of one pen is '₹x'.

MRP of one packet of 'x' pens = marked price of one pen $$\times$$ number of pens in one packet

y = x $$\times$$ x

Put the value of y in the above equation.

1600 = x $$\times$$ x

$$x^2\ =\ 1600$$

Value of 'x' = 40


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