Tag: maths

Questions Related to maths

The additional cost spent on transportation, maintenance, labour, repair, etc., expenses incurred are called _______.

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

  1. overhead expenses

  2. additional charge

  3. fixed amount

  4. cost price

Show answer
Correct Option: A
Explanation:

The additional cost spent on transportation, maintenance, labour, repair, etc., expenses incurred are called $\text{Overhead expenses}$.

Overhead is those expenses required to run a business, but which cannot be directly attributed to any specific business activity, product, or service. 
Thus, overhead expenses do not directly lead to the generation of profits. Overhead is still necessary, since it provides critical support for the generation of profit-making activities.

Raman goes to the school book store with Rs.100.he purchases some books and comes back with Rs.68.70 with him.After sometime,he goes again to the store with Rs.250 and purchases some books and comes back with Rs.166.50.How much did he spend in all and how much money is left with him?

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

  1. Rs.126.93, Rs.234.20

  2. Rs.234.20, Rs.118.96

  3. Rs.114.80, Rs.235.20

  4. Rs.115.80, Rs.126.930

Show answer
Correct Option: C
Explanation:

 In first time when Raman goes to store he has 100 Rs.  and come back with Rs. 68.70 then ,

spend money will be = 100-68.70=Rs. $31.30$
now when he goes second time he has Rs. 250 and come back with Rs. 166.50 then,
spend money will be = 250-166.50= Rs. $83.50$
hence he has spend money will be= 31.30+83.50= Rs. $114.80$
 and he have left money will be= 68.70+166.50= Rs. $235.20$
Here answer is option $C$.

Brett currently spends $ $160$ each month on gas. His current car is able to travel $30$ miles per gallon of gas. He decides to switch his current car for a new car that is able to travel $40$ miles per gallon of gas. Assuming the price of gas stays the same, how much will he spend on gas each month with the new car?

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

  1. $ $100$

  2. $ $120$

  3. $ $130$

  4. $ $140$

Show answer
Correct Option: B
Explanation:
Let $x$ be the price of gas per gallon
$\implies$ the fills $\dfrac{160}{x}$ gallons every month
$\implies$ He travels totally $30\times \dfrac{160}{x}$ every month $=\dfrac{4800}{x}$ miles
with his new car he needs to fill only $\dfrac{\left(\dfrac{480}{x}\right)}{40}=\dfrac{120}{x}$ gallons
Total Price $=\dfrac{120}{x}\times x$
                   $=\$120$

Mr. Sharma left one-third of his property to his son, one-fourth to his daughter and remainder to his wife. If his wife's share is $Rs. 18,000$, what was the worth of his total property?

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

  1. Rs. $43,100$

  2. Rs. $43,200$

  3. Rs. $43,300$

  4. Rs. $43,400$

Show answer
Correct Option: B
Explanation:

Let the total property was of Rs. $x$.

Then his son's share Rs. $\dfrac{x}{3}$ and his daughter's share $\dfrac{x}{4}$ and his wife's share $x-\dfrac{x}{3}-\dfrac{x}{4}=\dfrac{5x}{12}$.
According to the problem,
$\dfrac{5x}{12}=18,000$
or, $x=43,200$.
So total property worth was of Rs. $43,200$.

if 5 men and 9 women can do a piece of work in 19 days then in how many days will 3 men and 6 women do the same work ?

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

  1. 12 days

  2. 15 days

  3. 18 days

  4. 21 days

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Correct Option: B
Explanation:
It is given that 5 men or 9 women can do the job in 19 days.

So, 5 men=9 women

1 man = $\dfrac { 9 }{ 5 }$ women

3 men = 3 $(\dfrac { 9 }{ 5 } )$ women

So, work done = 3 men+6 women = 3 $(\dfrac { 9 }{ 5 } )+6$

$=\dfrac { 27 }{ 5 } +6$

$=\dfrac { 57 }{ 5 } $

Now,$ \dfrac { {M} _{1} {D} _{1} }{{W} _{1} }$= $ \dfrac { {M} _{2} {D} _{2} }{ {W} _{2} } ,$ 

let ${D} _{2} = x$

$\dfrac { 9*19 }{ {W} _{1} } = \dfrac { \dfrac { 57 }{ 5 } *x }{ {W} _{2} }$

$ \Longrightarrow 9*19=\dfrac { 57x }{ 5 }$

$ \Longrightarrow 3=\dfrac { x }{ 5 }$

$ \Longrightarrow x=15$ days

So, option (b) is correct.

The average of the price per kg. of rice at $10$ different places was $Rs.4.85$. After a week, the price per kg. was increased by $20$ paise at $3$ places and decreased by $10$ paise at one place. The new average of price per kg is :

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

  1. $Rs. 4.88$

  2. $Rs. 4.86$

  3. $Rs. 4.90$

  4. $Rs. 5.35$

Show answer
Correct Option: A

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. $10$

Show answer
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. $yd$

Show answer
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. $Rs 200$

Show answer
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 $x+2x+2x+40=540\5x+40=540\5x=500\x=100$