Question

In an exam B scored 50% more marks than A and 40% less marks than C, D scored 18% more marks than B. Then find by what per cent D has scored more than A. 
1. 60 
2. 70
3. 77
4. 90

Answer 1

Correct Answer - Option 3 : 77

Given :

In an exam B scored 50% more marks than A and 40% fewer marks than C, D scored 18% more marks than B.

Calculations :

Let the marks of A in the exam be 100 

B's marks = 100 + 50% of 100    (B scored 50% more than A)

⇒ 150 

It is given B scored 40% fewer marks than C that means B scored 60% of C's score.

B's marks = 60% of C's score

60% of C's score = 150 

C's score = 250 marks 

D's score = 150 + 18% of 150   (D scored 18% more than B) 

⇒ 150 + 27 

⇒ 177 marks 

D score = 177 and A score = 100 

Required per cent = (177 - 100)/(100) × 100 

⇒ 77% 

∴ Option 3 will be the correct choice.