If the selling price of frac{2}{3} of a certa | vedclass

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

Question

(A) Let the total quantity of milk be $x$ units and the cost price of $1$ unit of milk be $C$. Total cost price of $x$ units of milk = $x 	imes C = x

Vedclass · Accepted Answer

$50\%$

Vedclass · Answer

(A) Let the total quantity of milk be $x$ units and the cost price of $1$ unit of milk be $C$. Total cost price of $x$ units of milk = $x 	imes C = xC$. According to the problem,the selling price of $\frac{2}{3}x$ units of milk is equal to the cost price of $x$ units of milk. Selling price of $\frac{2}{3}x$ units = $xC$. Therefore,the selling price of $1$ unit of milk = $\frac{xC}{\frac{2}{3}x} = \frac{3}{2}C = 1.5C$. Gain = Selling Price - Cost Price = $1.5C - C = 0.5C$. Gain percent = $\left( \frac{	ext{Gain}}{	ext{Cost Price}} ight) 	imes 100 = \left( \frac{0.5C}{C} ight) 	imes 100 = 50\%$.

If the selling price of $\frac{2}{3}$ of a certain quantity of milk is equal to the cost price of the whole quantity of milk,then what will be the gain percent in this transaction?

Similar Questions

Find $CP$ when $SP = Rs. 40.60$ and $\text{gain} = 16\%$.

$A$ sells an article to $B$ at a profit of $20 \%$ and $B$ sells it to $C$ at a loss of $10 \%$. If $C$ pays $Rs. 540$ for it,at what price did $A$ buy?

Savita buys $5$ shirts and $10$ pants for $Rs. 1600$. She sells shirts at a profit of $15\%$ and pants at a loss of $10\%$. If her overall profit was $Rs. 90$,what was the cost price of a shirt and a pant in $Rs.$?

$A$ shopkeeper marks his goods $20 \%$ above $CP$ but allows $30 \%$ discount for cash. His net loss is in $\%$?

$A$ shopkeeper purchased a chair marked at $₹ 600$ at two successive discounts of $15 \%$ and $20 \%$. He spent $₹ 28$ on transportation and sold the chair for $₹ 545$. His gain percent was: (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module