Question

Tick (✓) the correct answer:
In an examination, Nitin gets 98 marks. This amounts to 56% of the maximum marks. What are the maximum marks?
(a) 75
(b) 150
(c) 175
(d) 225

Answer 1

(c) 175

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{maximum}\mathrm{marks}\mathrm{be}\mathrm{x}.\mathrm{Then},\mathrm{we}\mathrm{have}: \\ 56\%ofx=\left(x\times \frac{56}{100}\right) \end{gathered}$$
$=\frac{56x}{100}$
$$\begin{gathered} \mathrm{Now},\frac{56x}{100}=98 \\ \Rightarrow x=\left(98\times \frac{100}{56}\right) \\ \Rightarrow x=175 \end{gathered}$$