CA Foundation · Quantitative Aptitude · Linear Inequalities
A salesman at Mehta Electronics earns a fixed ₹6,000 per month plus ₹150 per unit sold. He wants monthly earnings of at least ₹15,000 but less than ₹21,000. If n is the number of units sold, which integer values of n satisfy this?
The condition is 60 ≤ n < 100. Earnings 6000 + 150n must be at least 15,000 and below 21,000, so 150n lies from 9,000 up to but not including 15,000. Dividing by 150 gives n from 60 inclusive to 100 exclusive.
- A60 ≤ n ≤ 100
- B60 ≤ n < 100Correct
- C40 ≤ n < 100
- D60 < n < 100
Explanation
Need 15000 ≤ 6000 + 150n < 21000. Subtract 6000: 9000 ≤ 150n < 15000. Divide by 150: 60 ≤ n < 100. Option 60 ≤ n ≤ 100 wrongly includes 100, which gives exactly ₹21,000.
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