Ramesh purchased 130 books at the rate of ₹200 each and sold half of them at the rate of ₹300 each, one-fifth of them at the rate of ₹350 each and the rest at the cost price. Find his profit percentage.

Question

Accepted Answer

Step 1: Calculate the total cost price (CP) of 130 books.
CP per book = ₹200
Total CP = 130 × 200 = ₹26000

Step 2: Calculate the number of books sold in each category.
Half of 130 = 130/2 = 65 books sold at ₹300 each
One-fifth of 130 = 130/5 = 26 books sold at ₹350 each
Rest = 130 - (65 + 26) = 130 - 91 = 39 books sold at cost price ₹200 each

Step 3: Calculate the total selling price (SP).
SP for 65 books = 65 × 300 = ₹19500
SP for 26 books = 26 × 350 = ₹9100
SP for 39 books = 39 × 200 = ₹7800
Total SP = 19500 + 9100 + 7800 = ₹36400

Step 4: Calculate profit.
Profit = Total SP - Total CP = 36400 - 26000 = ₹10400

Step 5: Calculate profit percentage.
Profit % = (Profit / CP) × 100 = (10400 / 26000) × 100 = 40%

Therefore, the profit percentage is 40%.

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