Profit and Loss

A man sold an article at a loss of $5\%$, if he sold it at $₹75$ more than profit would be $20\%$. Find the cost price of the article.

A clock was sold for Rs. $144$. If the percentage of profit was numerically equal to the cost price, the cost of the clock was

A shopkeeper labeled the price of his articles so as to earn a profit of $30\%$ on the cost price. He then sold the articles by offering a discount of $10\%$ on the labeled price. What is the actual profit percent earned in the deal?

Read the following information and answer the given question.

The price of gold increased by $25$% from Jan $1$ to Feb $1$. On March $1$, it stood at $10$% less than Feb $1$. On March $1$, Bina came across a scheme having ${\frac{1}{8}}^{\mathrm{th}}$ gram of gold free for every gram of gold bought. Bina bought $\frac{80}{9}$ grams of gold, and got the specified quantity free. On April $1$, the price of gold stood at $33.33$% higher than March $1$ and Bina sold all the gold that she had. On May $1$, the price of gold reduced by $33.33$% and stood at Rs. $5000$ for $10$ grams.

What was Bina's profit percent after selling the gold?

A shopkeeper marks his goods  $30\%$ above his cost price but allows a discount of  $10\%$ at the time of sale. His gain is:

If the cost price of $20$articles is equal to the selling price of $16$articles, what is the percentage profit or loss made by the merchant?

Mahesh earned a profit of $20\%$ by selling $60$ apples at the rate of $₹42.50$ for $5$ apple. Then the total cost, at which the apples were bought is:

A trader allows two successive discounts of  $30\%$ and  $15\%$ for selling an article. If he gets$₹ 476$  for the article, its marked price is:

Some articles were bought at $6$articles for Rs. $5$and sold at $5$articles for Rs. $6$. Gain percent is:

A man sold a wristwatch for $₹ 2400$ at a loss of $25\%$. At what rate should he have sold the wristwatch to earn a profit of $25\%$?

At what per cent above the cost price must a shopkeeper mark his goods so that he gains $20\%$ even after giving a discount of $10\%$ on the marked price?

Break-even analysis can be used for:

A shopkeeper sells notebooks at the rate of $₹45$ each and earns a commission of $4\%$. He also sells pencil boxes at the rate of $₹80$ each and earns a commission of $20\%$. How much amount of commission will he earn in two weeks if he sells $10$ notebooks and $6$ pencil boxes a day?

A shopkeeper buys $106 \mathrm{kg}$ and $94 \mathrm{kg}$ of two kinds of tea at the rate of $₹25.50 \mathrm{per} \mathrm{kg}$ and $₹30.50 \mathrm{per} \mathrm{kg}$. He mixes both kinds of tea and sells the mixture at $₹33.42 \mathrm{per} \mathrm{kg}$. What is his gain percent?

A dishonest trader claims that his selling price is equal to his cost price but weights $900$ gms. instead of $1$ kg. then his profit percent is -

By selling an article for $₹826$ merchant has a profit of $18\%$. But due to a fall in demand, he sells it at only $\frac{2}{3}$ of the profit per cent. Find his selling price.

Find the difference between a discount of $40\%$ on $₹500$ and two successive discounts of $36\%$ and $4\%$ on the same amount.

Raju purchased an item for $₹4,500$ and sold it at the gain of $15\%$. From that amount, he purchased another item and sold it at a loss of $10\%$. What is his overall gain/loss?

On selling $17$ balls at $₹ 720$, there is a loss equal to the cost price of  $5$ balls. The cost price (in $₹$) of a ball is:

Ravi and Raj invested in the ratio of $4:3$ in a business. If $16\%$ of the total profit goes to charity and Ravi's share of profit is $₹816$, what is the amount of total profit?