(D) When two items are sold at the same selling price $(S.P.)$,and there is a profit of $x \%$ on one and a loss of $x \%$ on the other,the overall re

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

(D) When two items are sold at the same selling price $(S.P.)$,and there is a profit of $x \%$ on one and a loss of $x \%$ on the other,the overall result is always a loss.The formula for the net loss percentage is given by: $\text{Loss } \% = \left( \frac{x}{10} \right)^2 = \frac{x^2}{100}$.Given $x = 20$,the loss percentage is:$\text{Loss } \% = \frac{20^2}{100} = \frac{400}{100} = 4 \%$.Therefore,the dealer incurred a $4 \%$ loss in the entire transaction.

Competitive Quantitative Aptitude Profit and Loss Profit and Loss

Easy

$A$ dealer sold two types of goods for $Rs. 10,000$ each. On one of them,he lost $20 \%$ and on the other he gained $20 \%$. His gain or loss per cent in the entire transaction was

A
$2 \%$ loss
B
$2 \%$ gain
C
$4 \%$ gain
D
$4 \%$ loss

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Profit and Loss

Subtopic

Profit and Loss

Aditya bought $200$ dozen oranges at $Rs. 10$ per dozen and he spent $Rs. 500$ on transportation. He sold each orange at $Rs. 1$ each. What was his profit or loss $\%$?

Easy

View Solution

Sarita sells a phone at a profit of $20 \%$. If she had bought it at $20 \%$ less and sold it for $Rs. 180$ less, she would have gained $25 \%$. Find the cost price of the phone in $Rs.$

Difficult

View Solution

Arun buys one kilogram of apples for $Rs. 120$ and sells it to Swati gaining $25\%$. Swati sells it to Divya who again sells it for $Rs. 198$,making a profit of $10\%$. What is the profit percentage made by Swati (in $\%$)?

Difficult

View Solution

$A$ man gains $15 \%$ by selling a calculator for a certain price. If he sells it at triple the price,then what will be the profit percentage (in $\%$)?

Difficult

View Solution

$A$ shopkeeper sells $25$ articles at $Rs. 45$ per article after giving a $10 \%$ discount and earns a $50 \%$ profit. If no discount is given,the profit percentage gained is......$\%$

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ dealer sold two types of goods for $Rs. 10,000$ each. On one of them,he lost $20 \%$ and on the other he gained $20 \%$. His gain or loss per cent in the entire transaction was

Similar Questions

Aditya bought $200$ dozen oranges at $Rs. 10$ per dozen and he spent $Rs. 500$ on transportation. He sold each orange at $Rs. 1$ each. What was his profit or loss $\%$?

Sarita sells a phone at a profit of $20 \%$. If she had bought it at $20 \%$ less and sold it for $Rs. 180$ less, she would have gained $25 \%$. Find the cost price of the phone in $Rs.$

Arun buys one kilogram of apples for $Rs. 120$ and sells it to Swati gaining $25\%$. Swati sells it to Divya who again sells it for $Rs. 198$,making a profit of $10\%$. What is the profit percentage made by Swati (in $\%$)?

$A$ man gains $15 \%$ by selling a calculator for a certain price. If he sells it at triple the price,then what will be the profit percentage (in $\%$)?

$A$ shopkeeper sells $25$ articles at $Rs. 45$ per article after giving a $10 \%$ discount and earns a $50 \%$ profit. If no discount is given,the profit percentage gained is......$\%$

Vedclass Test Series

Exam Paper Generator

Online Exam Module