Question 152

A student was awarded certain marks in an examination. However, after reevaluation, his marks were reduced by 40% of the marks that were originally awarded to him so that the new score now became 96. How many marks did the student lose after re-evaluation ?

Solution

Let the original marks of the student = $$100x$$

Marks after re-evaluation = $$\frac{60}{100} \times 100x = 60x$$

=> $$60x = 96$$

=> $$x = \frac{96}{60} = 1.6$$

Thus, original marks = 100 * 1.6 = 160

$$\therefore$$ Marks lost after re-evaluation = 160 - 96 = 64

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