Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

If $\dfrac{p}{q}=\bigg( \dfrac{2}{3}\bigg)^3 \div \bigg( \dfrac{3}{2}\bigg)^{-3}$ then the value of $\bigg( \dfrac{p}{q}\bigg)^{-10}=.............$

  1. $1$
  2. $0$
  3. $-1$

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
  $\dfrac{p}{q}=\left ( \dfrac{2}{3} \right )^{3}\times \left ( \dfrac{3}{2} \right )^{3}$

  $\Rightarrow \dfrac{p}{q}=1$ 

  $\Rightarrow (7)^{-10}$

  $\Rightarrow 1$
Multiple choice maths discount and commission commission and rebate commission deductions from earnings

A sum of Rs. $15500$ is lent out into two parts, one at $8\%$ and another one at $6\%$. If the total annual income is Rs. $1060$, the money lent at $8\%$ is

  1. Rs. $6500$
  2. Rs. $7200$
  3. Rs. $8400$
  4. Rs. $9000$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the money lent at 8% be Rs.x. Then,
$\displaystyle \frac{x \times 8 \times 1}{100} + \frac{(15500-x) \times 6 \times 1}{100} = 1060$
or 2x + 93000 = 106000
or x = 6500

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. $9650$