Correct Answer - Option 4 : 6000
Given:
Difference between their profits = 200
Profit gain by Mahesh and Dinesh both = 20%
Formula used:
Gain or loss percent = (Loss or gain/Cost price) × 100
Concept used:
Profit = Selling Price – Cost Price
Loss = Cost Price – Selling Price
Calculation:
Let the selling price for both of them be Rs. x.
Cost price of Dinesh = x × {(100 - 20)/100}
⇒ x × {80/100}
⇒ 4x/5
Cost price of Mahesh = x × {100/(100 +20)}
⇒ x × {100/120}
⇒ 5x/6
Dinesh’s profit = x – (4x/5)
⇒ x/5
Mahesh’s profit = x – (5x/6)
⇒ x/6
Difference of their profits = (x/5) – (x/6) = 200
⇒ x/30 = 200
⇒ x = 6000
∴ The selling price for both of them is Rs. 6000.