Tag: profit and loss with overhead expenses

Questions Related to profit and loss with overhead expenses

The cost price and the overhead expanses together make up the effective seilling price.

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. True

  2. False

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Correct Option: A

A boy saves $Rs 4.65$ daily than the least number of days in which he will be also to save an exact number of rupees is

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $15$

  2. $20$

  3. $12$

  4. $10$

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Correct Option: B
Explanation:
Rs.$4.65=465$Paise
The exact number of rupees will be a multiple of $100$
So, we have to fine the L.C.M. of $465$ and $100$
$100 = 2\times 2\times 5\times 5$
$465 = 3\times 5\times 31$
L.C.M. of $465$ and $100 = 2\times 2\times 3\times 5 \times 5\times 31= 9300$
So, the boy saves $9300$ paise.
Hence, least number of days required to save $9300$ paise $=\dfrac{9300}{465}= 20$ days

If the cost of $x$ metres of wire is $d$ rupees, then what is the cost of $y$ metres of wire at the same rate?

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. Rs. $x\dfrac{d}{y}$

  2. Rs. $xd$

  3. Rs. $y\dfrac{d}{x}$

  4. Rs. $yd$

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Correct Option: C
Explanation:
Given, cost of $x$ metres of wire = Rs. $d$

cost of $1$ metre of wire = Rs.$\dfrac{d}{x}$

cost of $y$ metre of wire = Rs $y\dfrac{d}{x}$

$A 'B'$ & $'C'$ are going to buy books that cost $Rs 540$ if A pays $Rs 40$ more than B and B pays twice as much as C, how much does C pay?

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $Rs 100$

  2. $Rs 140$

  3. $Rs 160$

  4. $Rs 200$

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Correct Option: A
Explanation:

Let the cost paid by $C$ be $x$ 

The cost paid by $B$ is $2x$
The cost paid by $A$ is $2x+40$
The total cost is $x+2x+2x+40=540\5x+40=540\5x=500\x=100$

Karuna bought a car for a certain sum of money. She spent $10$% ofthe cost on repairs and sold the car for a profit of Rs. $11,000$. How much did she spend on repairs, if she made a profit of $20$%?

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. Rs. $4,000$

  2. Rs. $4,400$

  3. Rs. $5,500$

  4. Rs. $5,000$

Show answer
Correct Option: D
Explanation:

Let CP of car be Rs. x.
Cost on repair = $\displaystyle\frac{x}{10}$
Total cost = $x\, + \, \displaystyle\frac{x}{10}\, = \, \frac{11x}{10}$

We have, $\displaystyle\frac{11x}{10}\,\times\, \frac{20}{100}\, =\, \frac{11x}{50}\,=\, 11000$
x = 50000

Cost on repair = $\displaystyle\frac{x}{10}\,=\, \frac{50000}{10}$
Rs. 5000

The cost of manufacturing a TV set is made up of material costs labour costs and overhead costs These costs are in the ratio $4 : 3 : 2$ If materials costs and labour costs rise by $10 \%$ and $8 \%$ respectively while the overhead costs reduce by $5 \%$ what is the percentage increase in the total coast of the TV set ? 

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $6 \%$

  2. $8 \%$

  3. $4 \%$

  4. $10 \%$

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Correct Option: A
Explanation:

Let the cost of the T.V. be $Rs.\ x$ Then 
Material coast $\displaystyle =\frac{4x}{9}$ ,Labour coast $\displaystyle =\frac{3x}{9}$ ,Overhead costs $\displaystyle =\frac{2x}{9}$ New material cost $\displaystyle =\frac{110}{100}\times \frac{4x}{9}=\frac{44x}{90}$\ 
New labour cost $\displaystyle =\frac{108}{100}\times \frac{3x}{9}=\frac{9x}{25}$
New overhead costs $\displaystyle =\frac{95}{100}\times \frac{2x}{9}=\frac{19x}{90}$
Increase in the cost of T.V.=$\displaystyle \left ( \frac{44x}{90}-\frac{4x}{9} \right )+\left ( \frac{9x}{25}-\frac{3x}{9} \right )+\left ( \frac{19x}{90}-\frac{2x}{9} \right )$
$\displaystyle =\frac{4x}{90}+\frac{2x}{75}-\dfrac{x}{90}=\dfrac{20x+12x-5x}{450}=\dfrac{27x}{450}$ $\displaystyle \therefore increase: in: cost=\dfrac{\dfrac{27x}{450}}{x}\times 100\%=\dfrac{2700}{450}\%=6\%$

Maya bought a television for $14,500$ rupees and spent $500$ rupees on transportation. she sold that television for $12,000$ rupees. Calculate her loss percent.

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $12.22\%$

  2. $32.23\%$

  3. $22.22\%$

  4. $20\%$

Show answer
Correct Option: D
Explanation:

Price paid for buying a TV $=14,500$
Amount spent on transportation $= 500$
Total cost of the TV $=$ cost price $= 14,500 + 500 = 15,000$
Selling price $ = 12,000$
Loss $=$ C.P. $-$ S.P. $= 15,000 - 12,000=  3000$
Loss $\%$ $= \dfrac{loss}{C.P.}\times 100$ $\% =$ $\dfrac{3000}{15000}\times 100$ $\%$ 
$= 20$ $\%$

A company buy a machine for $7000$ rupees and spends $2000$ for electricity and labour charges. If he sells these machine at $5000$ rupees. Find his loss percent.

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $12.22\%$

  2. $32.23\%$

  3. $22.22\%$

  4. $44.44\%$

Show answer
Correct Option: D
Explanation:

Price paid for buying a machine $= 7000$
Amount spent on electricity and labout $= 2000$
Total cost of the machine $=$ cost price $= 7000 + 2000 = 9000$
Selling price $= 5000$
Gain $=$ C.P. $-$ S.P. $= 9000 - 5000 = 4000$
Gain $\% =$ $\dfrac{Gain}{C.P.}\times 100$ $\% =$ $\dfrac{4000}{9000}\times 100$ $\%$ 
$= 44.44\%$

A mechanic bought an old car for 2300 rupees and spent 1200 rupees on its repair, denting and painting. He sold that car for 4500 rupees. Calculate his profit percent.

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. 12.22%

  2. 32.23%

  3. 28.57%

  4. 12.45%

Show answer
Correct Option: C
Explanation:

Price paid for buying a car =C.P= $Rs. 2300$
Amount spent on repair =$Rs. 1200$
Total cost of the cycle = cost price =$Rs. 2300 + Rs.1200 = Rs.3500$
selling price = S.P = $ Rs. 4500$

Gain percentage = $ \dfrac{S.P - C.P }{C.P} \times {100}$
=$\dfrac{1000}{3500} \times {100}$

=$ 28.57 $ %

Mike bought an old cycle for $500$ rupees and spent $100$ rupees on its repair. He sold that cycle for $1200$ rupees. Calculate his profit percent.

maths profit-loss overhead expenses introduction to total cost price of the article profit and loss with overhead expenses

  1. $12.22\%$

  2. $32.23\%$

  3. $22.22\%$

  4. $100\%$

Show answer
Correct Option: D
Explanation:

Price paid for buying a cycle $=$ C.P. $=$ Rs. $500$
Amount spent on repair $=$ Rs. $100$
Total cost of the cycle $=$ cost price $=$ Rs. $500 +$ Rs. $100 = $ Rs. $600$
Selling price $=$ S.P $=$ Rs. $1200$
Gain percentage $=$ $ \dfrac{S.P - C.P }{C.P} \times {100}$
$=$$\dfrac{600}{600} \times {100}$
$=$$ 100$ $\%$