An item with a cost price of Rs. 1650 is sold at a certain discount on a fixed marked price to earn a profit of 20% on the cost price. If the discount was doubled, the profit would have been Rs. 110. The rate of discount, in percentage, at which the profit percentage would be equal to the rate of discount, is nearest to

A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is

If a seller gives a discount of $15 \%$ on retail price, she still makes a profit of $2 \%$. Which of the following ensures that she makes a profit of $20\%$?

The manufacturer of a table sells it to a wholesale dealer at a profit of $10 \%$. The wholesale dealer sells the table to a retailer at a profit of $30\%$. Finally, the retailer sells it to a customer at a profit of $50\%$. If the customer pays Rs $4290$ for the table, then its manufacturing cost (in Rs) is

On selling a pen at $5 \%$ loss and a book at $15 \%$ gain, Karim gains Rs. $7$. If he sells the pen at $5 \%$ gain and the book at $10 \%$ gain, he gains Rs. 13. What is the cost price of the book in Rupees?

The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is

Two types of tea, $A$ and $B$, are mixed and then sold at Rs. $40$ per kg. The profit is $10 \%$ if A and B are mixed in the ratio $3: 2$, and $5 \%$ if this ratio is $2: 3$. The cost prices, per kg , of $A$ and $B$ are in the ratio