# Word Problem 12

**Problem 12: In examination 40% of students fail in Math 30% fail in English and 10% fail in both. Find pass percentage.**

**a. 40% b. 50% c. 60% d. 70%**

**— percentage calculation —**

**Solution:**

Failure in Math= 40%

Failure in English= 30%

Failure in Both= 10%

Pass %age =?

So,

So, 40% students were passed

Alternatively we can use Van Diagram to solve this problem;

Failure in English only= 30-10=20%

Failure in Math only = 40-10=30%

Fail in both = 10%

Total failure = 20+10+30=60%

Pass= 100-60=40%

The AuthorBecause 10% students failed in both subjects and we subtract them form other subjects to find students percentage who failed in English only and Math only !

Aftab AhmedWhy we are subtracting 10% from them