A man sells an article at 5 % above its cost | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the cost price $(CP)$ be $x$.Initial selling price $(SP_1)$ $= x + 0.05x = 1.05x = \frac{21x}{20}$.New cost price $(CP_2)$ $= x - 0.05x = 0.95

Vedclass · Accepted Answer

$400$

Vedclass · Answer

(A) Let the cost price $(CP)$ be $x$.Initial selling price $(SP_1)$ $= x + 0.05x = 1.05x = \frac{21x}{20}$.New cost price $(CP_2)$ $= x - 0.05x = 0.95x = \frac{19x}{20}$.New selling price $(SP_2)$ $= CP_2 + 10\% 	ext{ of } CP_2 = 1.10 	imes \frac{19x}{20} = \frac{1.10 	imes 19x}{20} = \frac{20.9x}{20} = \frac{209x}{200}$.According to the problem,the difference between the two selling prices is $Rs. 2$:$SP_1 - SP_2 = 2$$\frac{21x}{20} - \frac{209x}{200} = 2$Multiply by $200$ to clear the denominator:$210x - 209x = 400$$x = 400$.Therefore,the cost price of the article is $Rs. 400$.

$A$ man sells an article at $5 \%$ above its cost price. If he had bought it at $5 \%$ less than what he had paid for it and sold it at $Rs. 2$ less,he would have gained $10 \%$. The cost price of the article is (in $Rs.$)

Similar Questions

If an item is sold for $Rs. 924$,there is a profit of $10\%$. What is the cost price?

$A$ shopkeeper has to sell $24 \text{ kg}$ of sugar. He sells a part of these at a gain of $20 \%$ and the rest at a loss of $5 \%$. If on the whole he earns a profit of $10 \%$,what is the quantity of sugar (in $\text{kg}$) sold at a loss?

If a company sells a car with a marked price of $Rs. 272000$ and gives a discount of $4\%$ on $Rs. 200000$ and $2.5\%$ on the remaining amount of $Rs. 72000$,then the actual price charged by the company for the car is (in $Rs.$)

With a $5 \%$ discount on the cost of sugar,a buyer could purchase $2 \text{ kg}$ more sugar for $Rs. 608$. What is the initial selling price of sugar per kg?

$A$ man buys two chairs for a total cost of $900$. By selling one for $\frac{4}{5}$ of its cost and the other for $\frac{5}{4}$ of its cost,he makes a profit of $90$ on the whole transaction. The cost of the lower priced chair is (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module