Tag: maths

Questions Related to maths

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


Correct Option: A
Explanation:
  $\dfrac{p}{q}=\left ( \dfrac{2}{3} \right )^{3}\times \left ( \dfrac{3}{2} \right )^{3}$

  $\Rightarrow \dfrac{p}{q}=1$ 

  $\Rightarrow (7)^{-10}$

  $\Rightarrow 1$

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. $9000$


Correct Option: A
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

Choose the correct option

  1. Salary includes the commission

  2. Salary excludes the commission

  3. Total earnings=Salary +Commission

  4. (B) and (C) are correct


Correct Option: D
Explanation:

Salary does not include the commission.
Commission is aside from fixed salary

$3\%$ 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.$14,22,000$


Correct Option: D
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 $=x=Rs\ 14,22,000$.

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. $Rs3,500$


Correct Option: C
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$

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. $\frac {28,000+k}{100}$


Correct Option: A

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 /-


Correct Option: A

If the incentive of $M$ are $Rs\ 3000$ his salary is ..................... a his total income

  1. $\dfrac{1}{4}$

  2. $\dfrac{1}{2}$

  3. $\dfrac{2}{3}rd$

  4. $\dfrac{3}{4}rd$


Correct Option: A

If the total income of $O$ is $Rs\ 6000$ and of $N$ is $Rs\ 7000$, find the difference in their salaries.

  1. $Rs\ 1500$

  2. $Rs\ 1750$

  3. $Rs\ 2000$

  4. $Rs\ 2250$


Correct Option: A

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. $9650$


Correct Option: D
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. $9650$