1. 20% of the inhabitants of a village having died of cholera, a panic set in, during which 10% of the remaining inhabitants left the village. The population then reduced to720. Find the number of original inhabitants.
Solution:
(100-20)% of (100-10)% of x = 720
80/100 * 90/100 * x = 720.
x = 1000.
2. A salesman’s commission is 10% on all sales up to 10,000 and 5% on all sales exceeding this. He remits 20,000 to his parent company after deducting his commission. Find the total sales.
Solution:
x – [10% of 1000 + 5% of (x-1000)] = 20,000
x – [10/100 * 1000 + 5/100 * (x-1000)] = 20,000
By solving the above equation, we get x = 20894.74.
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