Question

In an objective type paper of 150 questions; John got 80% correct answers and Mohan got 64% correct answers. (i) How many correct answers did each get ? (ii) What percent is Mohan's correct answers to John's correct answers ?

Answer 1

Total questions = 150
John got correct answers = 80%
Mohan got correct answers = 64%
(i) Number of correct answers got by John
= $\frac{80}{100}\times$ 150 = 120
Number of correct answers got by Mohan
= $\frac{64}{100}\times 150=\frac{64}{4}\times 6=96$
(ii) % of Mohan's correct answer to John's correct answers
= $\frac{96}{120}\times 100=\frac{4}{5}\times 100$
= 4 $\times$ 20 = 80%