Tag: maths

Questions Related to maths

Hamid purchases some articles costing Rs. 5,460. The shopkeeper charged Sales Tax at 8%. As Hamid wanted to take the articles purchases outside the State, the shopkeeper charged 3% as Central Sales Tax on the actual price of the articles. Find the total amount Hamid had to pay for the articles.

  1. $Rs. 6,060.60$

  2. $Rs.4,060.60$

  3. $Rs. 5,060.60$

  4. None of these


Correct Option: A
Explanation:

Hamid purchase some articles $Rs 5460$

He paid $8 \%$ sales tax on it =$\dfrac{5460\times 8}{100}=RS. 436.80$ 

And $3\%$ central sales tax on it =$\dfrac{5460\times 3}{100}=Rs. 163.80$

Then he pay total amount  $=5460.00+436.80+163.80= Rs.6060.60$

When the rate of sale-tax is decreased from 9% to 6% for a coloured T.V.; Mrs. Geeta will save Rs. 780 in buying this T.V. Find the list price of the T.V.

  1. $Rs. 26,000$

  2. $Rs. 25,000$

  3. $Rs. 30,000$

  4. None of these


Correct Option: A
Explanation:
Let the list price of T.V is $Rs x$

Then sales tax @9% =$\dfrac{x\times 9}{100}=\dfrac{9x}{100}$

And  sales tax @6% =$\dfrac{x\times 6}{100}$=$\dfrac{6x}{100}$ 

Then geeta save Rs $\dfrac{6x}{100}$-$\dfrac{6x}{100}$

But she save Rs 780

$\dfrac{9x}{100}-\dfrac{6x}{100}=780$

$\Rightarrow \dfrac{9x-6x}{100}=780$
$\Rightarrow 3x=78000$

$\Rightarrow x=26000$ 
Then list price of T.V $=Rs 26000$

An article is marked at Rs. 4,500 and the rate of sales-tax on it is 6%. A trader buys this article at some discount and sells it to a customer at the marked price. If the trader pays Rs. 81 as VAT, find:
(i) how much per cent discount does the trader get ?
(ii) the total money paid by the trader, including tax, to buy the article.

  1. $ 30\% ;  Rs. 3,339$

  2. $ 10\% ;  Rs. 2,339$

  3. $ 15\% ;  Rs. 4,339$

  4. None o these


Correct Option: A
Explanation:
Marked price of the article $=Rs.4500$
Rate of sales tax $=6\%$
VAT paid by the trader $=Rs.81$
C.P for the customer=Rs.4500
Sales tax paid=$4500\times \dfrac{6}{100}=Rs.270$
So sales tax paid by the trader$=270-81=Rs.189$
C.P for the trader$=\dfrac{4500\times 189}{270}=Rs.3150$
(1)
Amount of discount=$4500-3150=Rs.1350$
Rate of discount$=\dfrac{1350\times 100}{4500}=30$%
(2)
Total amount paid by the trader$=3150+6\%  of   3150$
$\Rightarrow 3150+\dfrac{6}{100}\times 3150$
$\Rightarrow 3150+189=Rs.3339$



______ is imposed on all stages between production and final sale.

  1. discount

  2. profit

  3. sales tax

  4. VAT


Correct Option: D
Explanation:

VAT is a type of tax that is assessed incrementally, based on the increase in value of a product or service at each stage of production or distribution.

The cost of a pair of shirts at a shop was Rs. $450$. The sales tax charged was $5\%$. Find the bill amount.

  1. $472.5$

  2. $432.5$

  3. $473.5$

  4. $433.5$


Correct Option: A
Explanation:

Cost price of a pair of shirts is Rs. $450$.

Tax charged is $5\%$
Tax charged $=$ $\dfrac{5}{100}\times 450=$ Rs. $22.5$
Bill amount $=$ Cost price $+$ Tax charged.
Bill amount $=$ Rs. $450+$ Rs. $22.5=$ Rs. $472.5$

The rate of GST on stainless steel utensils is $18\%$, then the rate of state GST is:

  1. $18\%$

  2. $9\%$

  3. $36\%$

  4. $0.9\%$


Correct Option: B
Explanation:

For intrastate movement, Central GST and State GST are two components of GST tax law. 

If a sale of Rs. $100$ occurs in a state itself, then CGST $9\%$ and SGST $9\%$ will be levied on the total bill, that is Rs. $118$ where Rs. $9$ will go to State Government and Rs. $9$ will go to Central Government. 

$\Rightarrow$ Rate of state GST $= 9\%$

In the format of GSTIN, how many alpha-numerals are present?

  1. $15$

  2. $10$

  3. $16$

  4. $9$


Correct Option: A
Explanation:

Every taxpayer is assigned a state-wise PAN-based Goods and Services Taxpayer Identification Number (GSTIN), which has 15 alpha-numerical present.

Rate of GST on brokerage is:

  1. $5\%$

  2. $12\%$

  3. $18\%$

  4. $28\%$


Correct Option: C
Explanation:

Brokerage is a service and comes under the provision of GST. There is 18% GST rate on brokerage on transaction value.

To find the cost of one share at the time of buying the amount of Brokerage and GST is to be _______ the MV of share.

  1. added to

  2. subtracted from

  3. multiplied with

  4. divided by


Correct Option: A
Explanation:

Cost of Share $=$ Market Value of Share $+$ Amount of Brokerage & GST

Rate of GST on essential commodities is:

  1. $5\%$

  2. $12\%$

  3. $0\%$

  4. $18\%$


Correct Option: C
Explanation:

Items such as unbranded atta/maida/besan, unpacked food grains, milk, eggs, curd, lassi, fresh vegetables and contraceptives, come under the category of essential commodities used by common man, and are exempted from GST($0\%$).