(B) Let the cost of $1$ calculator be $Rs. C$ and the cost of $1$ pen be $Rs. P$.According to the problem:$3C + 4P = 2140$ $(i)$$1C + 5P = 1355$ $(i

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

(B) Let the cost of $1$ calculator be $Rs. C$ and the cost of $1$ pen be $Rs. P$.According to the problem:$3C + 4P = 2140$ $(i)$$1C + 5P = 1355$ $(ii)$To solve for $C$,multiply equation $(ii)$ by $4$:$4C + 20P = 5420$ $(iii)$Multiply equation $(i)$ by $5$:$15C + 20P = 10700$ $(iv)$Subtract equation $(iii)$ from $(iv)$:$(15C - 4C) + (20P - 20P) = 10700 - 5420$$11C = 5280$$C = 5280 / 11 = 480$Therefore,the cost of $1$ calculator is $Rs. 480$.

Competitive Quantitative Aptitude Profit and Loss Profit and Loss

Medium

Nutan pays $Rs. 2140$ for $3$ calculators and $4$ pens,while she pays $Rs. 1355$ for $1$ additional calculator and $5$ pens. What is the cost of a calculator in $Rs.$?

A
$175$
B
$480$
C
$655$
D
Cannot be determined

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Profit and Loss

Subtopic

Profit and Loss

The cash difference between the selling prices of an article at a profit of $4 \%$ and $6 \%$ is $Rs. 3$. The ratio of the two selling prices is:

Difficult

View Solution

$A$ trader marks the price of his goods $25 \%$ above the cost price but allows a $12.5 \%$ discount for cash payment. If he sells the goods for $Rs. 875$,find the cost price of the goods (in $Rs.$).

Medium

View Solution

$A$ person sells two articles,each for $Rs. 1040$. He incurs a $20\%$ loss on the first and a $10\%$ loss on the second. Find the overall percentage loss. (in $\%$)

Medium

View Solution

Nitin bought some oranges at $Rs. 40$ a dozen and an equal number at $Rs. 30$ a dozen. He sold them at $Rs. 45$ a dozen and made a profit of $Rs. 480$. The total number of dozens of oranges he bought was:

Medium

View Solution

$A$ rice trader buys $8$ quintals of rice for $Rs. 3,600$. $10\%$ of the rice is lost in transportation. At what rate should he sell the remaining rice to earn a $15\%$ profit in $Rs.$ per quintal?

Medium

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

Nutan pays $Rs. 2140$ for $3$ calculators and $4$ pens,while she pays $Rs. 1355$ for $1$ additional calculator and $5$ pens. What is the cost of a calculator in $Rs.$?

Similar Questions

The cash difference between the selling prices of an article at a profit of $4 \%$ and $6 \%$ is $Rs. 3$. The ratio of the two selling prices is:

$A$ trader marks the price of his goods $25 \%$ above the cost price but allows a $12.5 \%$ discount for cash payment. If he sells the goods for $Rs. 875$,find the cost price of the goods (in $Rs.$).

$A$ person sells two articles,each for $Rs. 1040$. He incurs a $20\%$ loss on the first and a $10\%$ loss on the second. Find the overall percentage loss. (in $\%$)

Nitin bought some oranges at $Rs. 40$ a dozen and an equal number at $Rs. 30$ a dozen. He sold them at $Rs. 45$ a dozen and made a profit of $Rs. 480$. The total number of dozens of oranges he bought was:

$A$ rice trader buys $8$ quintals of rice for $Rs. 3,600$. $10\%$ of the rice is lost in transportation. At what rate should he sell the remaining rice to earn a $15\%$ profit in $Rs.$ per quintal?

Vedclass Test Series

Exam Paper Generator

Online Exam Module