Tag: maths

Questions Related to maths

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. $10 \%$

Show answer
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$ $\%$

Dolly buys some laptop from a wholesaler for Rs. 10000 and spends Rs. 2000 on its transportation's, Rs. 1400 for delivery charges and Rs. 1300 for load man etc. Find the overhead charges spent by Dolly.

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

  1. 3300

  2. 4700

  3. 2000

  4. 5000

Show answer
Correct Option: B
Explanation:

Overhead charges spent by Dolly =  transportation + delivery charges + load man charges
Overhead charges spent by Dolly = $2000 + 1400 + 1300 = Rs. 4700$

Ann bought a new car for Rs. 150000 and spent Rs. 4000 for registration and transportation for Rs. 2000. What is the total amount she spent including the overhead charges?

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

  1. 156000

  2. 234000

  3. 341900

  4. 44100

Show answer
Correct Option: A
Explanation:

Total amount spent by Ann = Cost price + overhead expenses
= $150000 + 4000 + 2000 = Rs. 156000$

Mike buys some electronic goods from a wholesaler for Rs. 650 and spends Rs. 200 on its transportation's, etc. If he sells these electronic goods for Rs. 900; find the overhead expenses spent by Mike. and find profit.

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

  1. Rs.650,  Rs. 50

  2. Rs. 900, Rs. 150

  3. Rs. 200,  Rs.50

  4. Rs .850 , Rs.100

Show answer
Correct Option: C
Explanation:

The overhead charges become a part of the cost price.
So, Rs. 200 is a overhead expenses spent by Mike.

Total CP = Rs. 650+ Rs. 200 = Rs 850
SP > CP

hence Profit =  SP - CP =  900 - 850 = Rs.  50

The amount spent on repairs, labour charges and transportation etc expenses are called as

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

  1. overhead expenses

  2. underneath expenses

  3. beneath expenses

  4. fixed expenses

Show answer
Correct Option: A
Explanation:

The amount spent on repairs, labor charges and transportation etc. expenses are called as overhead expenses.