Profit and Loss Questions

An article was sold for ₹322, yielding a gain equal to one-sixth of the outlay (cost). Find the cost price of the article.

The cost price of an item is two-thirds of its selling price. What is the gain (or loss) percentage?

The difference between the cost price and the selling price of an article is ₹240. If the profit is 20%, what is the selling price?

Two-step transaction on the same capital: Sumit purchases an item for ₹ 4,000 and sells it at a profit of 35%. Using the entire proceeds from that sale, he immediately purchases a second item and sells it at a loss of 20%. Calculate his overall result on the original ₹ 4,000 investment—state clearly whether it is a net gain or a net loss and give the exact rupee amount.

Mixture of equal counts at different buying rates: A man buys an equal number of toffees at 6 per rupee and at 7 per rupee. He mixes all the toffees and sells the entire lot at 6 per rupee. Find his overall gain or loss percentage on the transaction.

Targeting a different outcome price: Raj sells an item for ₹ 6,384 at a 30% loss. At what price should he have sold the same item to make a 30% profit?

Loss-to-cost recovery: Niraj sells an article for ₹ 9,549 incurring a loss of 55%. Determine the original cost price of the article.

Loss percentage from ratio data: If the cost price (CP) and selling price (SP) of an article are in the ratio 5 : 3, compute the percentage loss.

Rate-to-quantity conversion: A shopkeeper sells eggs at 20 for a rupee and gains 30%. How many eggs did he buy for a rupee (i.e., what was his purchase rate)?

Target profit via units per rupee: A man buys toffees at 6 for ₹ 1. To earn a profit of 50%, how many toffees should he sell for ₹ 1?

Revising the selling price target: An article’s selling price was fixed at ₹ 700 to include a 40% profit on cost. Due to low sales, the merchant decides to reduce the target to a 10% profit. What should be the new selling price?

Comparing two selling prices: By selling a cellphone for ₹ 2,400, a shopkeeper makes a profit of 25%. If instead he sells it for ₹ 2,040, what would be his profit percentage?

From loss to gain on the same item: Rajdeep sells a radio for ₹ 768 at a loss of 20%. If he sells (the same model) for ₹ 1,020 instead, what is his profit percentage?

Overheads included before pricing: A trader buys goods for ₹ 150. Overhead expenses are 12% of the cost price. At what selling price should he sell to earn a 10% profit (on total cost including overheads)?

Switching from loss to a small profit: If a watch is sold for ₹ 120, there is a loss of 15%. To realize a profit of 2% on the same watch, at what price should it be sold?

Adjusting profit with a different selling price: A person sells an article for ₹ 3,600 and earns a profit of 20%. Had he sold the article for ₹ 3,150, what profit percentage would he have earned?

Setting a selling rate for a target margin: Meera purchases 23 bracelets at ₹ 160 each. At what selling price per bracelet should she sell to earn a 15% profit?

From profit to a hypothetical loss: An article is sold for ₹ 300 at a profit of 20%. Had it been sold for ₹ 235 instead, what would have been the loss percentage?

Scaling profit target on the same cost: Neeta sells an article for ₹ 220 and earns a profit of 10%. For a profit of 30% on the same article, at what price should she sell it?

Equal profit and loss distances from cost: Selling a pair of shoes for ₹ 2,033 yields a profit equal in magnitude to the loss incurred when selling it for ₹ 1,063. What is the cost price of the shoes?