Question
A shopkeeper purchases 50 pens and recovers the cost
price after selling 35 of them. He sells the remaining 15 pens at a profit of 20% and earns Rs. 180 as profit on them. What is the total selling price of the 50 pens?Solution
Let the cost price per pen be Rs. x.
Total CP of 50 pens = 50x.
SP of 35 pens = 50x (cost recovered).
Profit on remaining 15 pens = 20%.
So, 15x × 0.2 = 180
3x = 180 ⇒ x = Rs. 60
Total SP = 50x + 1.2 × 15x
= 50 × 60 + 1.2 × 15 × 60
= 3,000 + 1,080 = Rs. 4,080
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