A cloth merchant says that due to a slump in | vedclass

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

Question

(C) Let the true length of the scale be $100 \, cm$ and the cost price of $100 \, cm$ of cloth be $100$ units.Since the merchant sells at a $10 \%$ lo

Vedclass · Accepted Answer

$78.25$

Vedclass · Answer

(C) Let the true length of the scale be $100 \, cm$ and the cost price of $100 \, cm$ of cloth be $100$ units.Since the merchant sells at a $10 \%$ loss,the selling price of $100 \, cm$ of cloth is $90$ units.Let the actual length of the inaccurate scale be $y \, cm$.Since the merchant uses a scale of length $y \, cm$ to sell the cloth,he is effectively selling $y \, cm$ of cloth for the price of $100 \, cm$ of cloth (which is $90$ units).The cost price of $y \, cm$ of cloth is $y$ units.Given that he gains $15 \%$,the selling price is $1.15 	imes y$ units.Equating the selling prices: $1.15 	imes y = 90$.$y = \frac{90}{1.15} \approx 78.26 \, cm$.Using the standard formula $\frac{100+g}{100-l} = \frac{	ext{True length}}{	ext{False length}}$:$\frac{100+15}{100-10} = \frac{100}{y} \Rightarrow \frac{115}{90} = \frac{100}{y}$.$y = \frac{100 	imes 90}{115} = \frac{9000}{115} \approx 78.26 \, cm$.

$A$ cloth merchant says that due to a slump in the market,he sells cloth at a $10 \%$ loss,but he uses an inaccurate metre scale and actually gains $15 \%$. Find out the actual length of the scale (in $cm$).

Similar Questions

$A$ person bought a horse and a carriage for $₹ 20000$. Later,he sold the horse at $20 \%$ profit and the carriage at $10 \%$ loss. Thus,he gained $2 \%$ in the whole transaction. The cost price of the horse was (in $₹$)

$A$ person purchases $8$ pens for ₹ $10$ and sells $10$ pens for ₹ $8$. How much profit or loss percentage does he make?

The ratio of cost price and selling price of an article is $25:26$. The percent of profit will be

Gita buys a plot of land for $Rs. 96,000$. She sells $\frac{2}{5}$ of it at a loss of $6\%$. She wants to make a profit of $10\%$ on the whole transaction by selling the remaining land. The gain percentage on the remaining land is

$A$ person earns $15 \%$ on an investment but loses $10 \%$ on another investment. If the ratio of the two investments is $3:5$,what is the gain or loss percentage on the two investments taken together (in $\%$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module