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A company pays its employee Rs. 10000 as basic salary and 10% of every penny more than Rs. 150000 he brings in as sales. For past four months he had sales of Rs. 250000, Rs. 300000, Rs. 450000 and Rs. 500000 respectively. Had the basic pay been Rs. 12000, 16% commission and the amount of sales was constant for four months, what is the value of the sales for which he would have obtained same sum as salary? (in rupees)

A company pays its employee Rs. 10000 as basic salary and 10% of every penny more than Rs. 150000 he brings in as sales. For past four months he had sales of Rs. 250000, Rs. 300000, Rs. 450000 and Rs. 500000 respectively. Had the basic pay been Rs. 12000, 16% commission and the amount of sales was constant for four months, what is the value of the sales for which he would have obtained same sum as salary? (in rupees) Correct Answer 278125

In original case:

Salary for first month = 10000 + 10/100 × (250000 – 150000) = Rs 20000

Salary for 2nd month = 10000 + 10/100 × (300000 – 150000) = Rs 25000

Salary for 3rd month = 10000 + 10/100 × (450000 – 150000) = Rs 40000

Salary for 4th month = 10000 + 10/100 × (500000 – 150000) = Rs 45000

Total salary = 130000

In changed case

Salary received as basic pay = 4 × 12000 = Rs 48000

Salary received as commission = 130000 – 48000 = Rs 82000

Commission per month = 82000/4 = Rs 20500

Commission = (Sales – 150000) × 16/100

20500 = (Sales – 150000) × 0.16

128125 = Sales – 150000

∴ Sales = 278125

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