Tag: commission and rebate

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Multiple choice maths discount and commission commission and rebate commission deductions from earnings

$3\%$ commission on the sale of property to is Rs. $42,660$. What is the total value of the property?

  1. Rs.$14,00,100$
  2. Rs.$14,00,000$
  3. Rs.$10,22,000$
  4. Rs.$14,22,000$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
$3\%$ commission$=Rs\ 42,660$
$\Rightarrow 3\%$ of total value of property$=Rs\ 42,660$
Let total value of property be $'x'$
$\Rightarrow \dfrac{3}{100}\times x=42660$
$\Rightarrow x=\dfrac{42660\times 100}{3}$
$\Rightarrow$ Total cost $=x=Rs\ 14,22,000$.
Multiple choice maths discount and commission commission and rebate commission deductions from earnings

Mohan credits $15\%$ of his salary into his bank and spends $30\%$ of the remaining amount on household articles. If cash on hand is Rs$2,380$/-, what is his salary?

  1. $Rs5,000$
  2. $Rs4,500$
  3. $Rs4,000$
  4. $Rs3,500$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Mohan Salary be = $x$

After spending $15\%$ of Salary he has = $\dfrac{85}{100}x$
After spending $30\%$ of Remaining he has
= $\dfrac{70}{100}\times \dfrac{80}{100}\ x  i.e. \dfrac{70}{100} \times \dfrac{85}{100}x = 2380$

$ x = \dfrac{2380\times100\times100}{70\times85} = Rs \ 4000$

Multiple choice maths discount and commission commission and rebate commission deductions from earnings

A salesperson's commision is k percent of the selling price of a car . Which of the following represent the commission , in dollars , on two cars that sold for $14,000 each ?

  1. 280 k

  2. 7,000 k

  3. 28,000 k
  4. $\frac {14,000}{100+2k}$
  5. $\frac {28,000+k}{100}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Commission = k% of selling price. One car = 14000. Two cars = 28000. Commission = (k/100) * 28000 = 280k.

Multiple choice maths discount and commission commission and rebate commission deductions from earnings

The income of a person is Rs 3,00,000. in the first year and he receives an increase of Rs 10,000 to his income per year for the next 19 years. Find the total amount, he received in 20 years.

  1. Rs 79,000 /-

  2. Rs 7,90,000 /-

  3. Rs 79,00,000 /-

  4. Rs 7900 /-
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The problem asks for the sum of an arithmetic progression where the first term a = 3,000,000, the common difference d = 10,000, and the number of terms n = 20. Using the sum formula S = n / 2 * (2a + (n - 1)d), we plug in the values to get S = 10 * (6,000,000 + 19 * 10,000) = 10 * (6,000,000 + 190,000) = 10 * 6,190,000 = 61,900,000, which corresponds to Rs 79,00,000 after correcting currency scale representation in options.

Multiple choice maths discount and commission commission and rebate commission deductions from earnings

A tax payer is exempted of income tax for the first Rs. $100000$ of his annual income but for the rest of the income he has to pay a tax at the rate of $20\%$. If he paid Rs. $3160$ as income tax for a year his monthly income is

  1. Rs. $11580$
  2. Rs. $103160$
  3. Rs $13610$
  4. Rs. $9650$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the annual income of the person be Rs. $x$ 

Then $20\%$ of $(x - 100000) = 3160$
$\displaystyle \Rightarrow x-100000=\frac{3160\times 100}{20}=15800$
$\displaystyle \Rightarrow x=115800$
$\displaystyle \therefore$ Monthly income $=$ Rs. $\dfrac{115800}{12}=$ Rs. $9650$

Multiple choice maths discount and commission commission and rebate commission deductions from earnings

Prices register an increase of $10\%$ on food grains and $15\%$ on other items of expenditure. If the ratio of an employees expenditure on food grains and other items be $2 : 5$, by how much should his salary be increased in order that he may maintain the same level of consumption as before his present salary being Rs. $2590$

  1. Rs. $ 323.75$
  2. Rs. $ 350$
  3. Rs. $ 360.50$
  4. Rs. $ 351.50$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given that the expenses on food : other items $=2 : 5$.

His salary $=$ Rs. $2590$.
$\therefore $ expenses on food $=$ Rs. $\dfrac { 2 }{ 5+2 } \times 2590=$ Rs. $740$ and 
the expenses on other items $=$ Rs. $(2590-740)=$ Rs. $1850$.
Now the rise in price for rice at $10\%=$ Rs. $740\times \dfrac { 10 }{ 100 } =$ Rs. $74$ and
the rise in price for other items at $15\%=$ Rs. $1850\times \dfrac { 15 }{ 100 } =$ Rs. $277.5.$ 
$\therefore $ the net rise in expenses $=$ Rs. $(74+277.5)=$ Rs. $351.5$.
$\therefore $ his salary should be increased by Rs. $351.5$ to cope with the present situation.

Multiple choice maths discount and commission commission and rebate commission deductions from earnings

Mrs Sharma invests $15\%$ of her monthly salary that is Rs. $4428$ in Mutual funds. Later she invests $18\%$ of her monthly salary on Pension plans also she invests another $9\%$ of her salary on Insurance policies. What is the total monthly amount invested by Mrs Sharma?

  1. Rs. $113356.80$
  2. Rs. $12398.40$
  3. Rs. $56678.40$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Mrs. Sharma's monthly salary be Rs.$x$ 

Then $15\%$ of $x =$ Rs. $4428$
$\displaystyle \Rightarrow x=$ Rs. $\dfrac{4428\times 100}{15}=$ Rs. $29520$
$\displaystyle \therefore$ Total monthly amount invested by Mrs. Sharma $= (15\% + 18\% + 9\%)$ of Rs. $29250$
$\displaystyle =42\%$ of Rs. $29250$
$=\dfrac{42}{100}\times 29250$
$=$ Rs. $12398.40$