(C) Let the cost price of each item be $x$.There are $100$ items in total,so $50$ items were sold at $20 \%$ profit and $50$ items were sold at $40 \%

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

(C) Let the cost price of each item be $x$.There are $100$ items in total,so $50$ items were sold at $20 \%$ profit and $50$ items were sold at $40 \%$ profit.In the first case,the total profit $= (50 \times 0.20x) + (50 \times 0.40x) = 10x + 20x = 30x$.In the second case,if all $100$ items were sold at $25 \%$ profit,the total profit $= 100 \times 0.25x = 25x$.According to the problem,$30x - 25x = 100$.$5x = 100$.$x = 20$.Therefore,the cost price of each item is $Rs. 20$.

Competitive Quantitative Aptitude Profit and Loss Profit and Loss

Difficult

Half of $100$ items were sold at a profit of $20 \%$ and the remaining were sold at a profit of $40 \%$. If all the items were sold at a profit of $25 \%$,the total profit would have been $Rs. 100$ less than the previous profit. What was the cost price (in $Rs.$) of each item?

A
$10$
B
$15$
C
$20$
D
$30$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Profit and Loss

Subtopic

Profit and Loss

$A$ shopkeeper wishes to give $5 \%$ commission on the marked price of an article but also wants to earn a profit of $10 \%$. If his cost price is $₹ 95$,then the marked price is (in $₹$):

Easy

View Solution

$A$ trader buys two articles for $Rs. 4000$ each. While selling,if he gains $12.5\%$ on one and loses $20\%$ on the other,what will be the overall loss percent (in $\%$)?

Medium

View Solution

Rajesh sells a tape recorder to Mihir at a loss of $10 \%$,and Mihir sells it to Shiv at a loss of $20 \%$. If Shiv pays $Rs. 1440$ for it,at what price did Rajesh buy it? (in $Rs.$)

Medium

View Solution

$A$ shopkeeper mixes $20 \, kg$ of rice which cost him $Rs. \, 5$ per $kg$ with $35 \, kg$ of rice which cost him $Rs. \, 7$ per $kg$. Then he sells the mixture at $Rs. \, 6.5$ per $kg$. Find his total profit and percent profit.

Medium

View Solution

On an order of $5$ dozen boxes of a consumer product,a retailer receives an extra dozen free. This is equivalent to allowing him a discount of........$\%$

Easy

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

Half of $100$ items were sold at a profit of $20 \%$ and the remaining were sold at a profit of $40 \%$. If all the items were sold at a profit of $25 \%$,the total profit would have been $Rs. 100$ less than the previous profit. What was the cost price (in $Rs.$) of each item?

Similar Questions

$A$ shopkeeper wishes to give $5 \%$ commission on the marked price of an article but also wants to earn a profit of $10 \%$. If his cost price is $₹ 95$,then the marked price is (in $₹$):

$A$ trader buys two articles for $Rs. 4000$ each. While selling,if he gains $12.5\%$ on one and loses $20\%$ on the other,what will be the overall loss percent (in $\%$)?

Rajesh sells a tape recorder to Mihir at a loss of $10 \%$,and Mihir sells it to Shiv at a loss of $20 \%$. If Shiv pays $Rs. 1440$ for it,at what price did Rajesh buy it? (in $Rs.$)

$A$ shopkeeper mixes $20 \, kg$ of rice which cost him $Rs. \, 5$ per $kg$ with $35 \, kg$ of rice which cost him $Rs. \, 7$ per $kg$. Then he sells the mixture at $Rs. \, 6.5$ per $kg$. Find his total profit and percent profit.

On an order of $5$ dozen boxes of a consumer product,a retailer receives an extra dozen free. This is equivalent to allowing him a discount of........$\%$

Vedclass Test Series

Exam Paper Generator

Online Exam Module