2. z = 2x.
Problems on Percentage:
1. From the salary of an officer, 20% is deducted as house rent, 10% of the rest, he spends on conveyance, 30% of the rest he pays as income tax and 20% of the balance, he spends on clothes. Then, he’s left with 8024. Find his total salary.
Solution:
80/100 * 90/100 * 70/100 * 80/100 * x = 8024.
x = 20,000.
2. In an examination, 50/5 of the students failed in mathematics and 60% failed in English. If 30% of the students failed in both the subjects, then the percentage of students who passed in both the subjects was:
Solution:
n(AUB) = n(A)+n(B)-n(A∩B)
= 50+ 60-30
= 80.
Percentage passed = 100-80
= 20%.
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