Practice Set 4.1 Financial Planning Class 10th Mathematics Part 1 MHB Solution

Practice Set 4.1

1. ‘Pawan Medical’ supplies medicines. On some medicines the rate of GST is 12%, then what…
2. On certain article if rate of CGST is 9% then what is the rate of SGST? and what is the…
3. ‘M/s. Real Paint’ sold 2 tins of lustre paint and taxable value of each tin is Rs.…
4. The taxable value of a wrist watch belt is Rs. 586. Rate of GST is 18%. Then what is…
5. The total value (with GST) of a remote-controlled toy car is Rs. 1770. Rate of GST is…
6. ‘Tiptop Electronics’ supplied an AC of 1.5 ton to a company. Cost of the AC supplied is…
7. Prasad purchased a washing-machine from 'Maharashtra Electronic Goods'. The discount of…

Practice Set 4.1

Question 1.

‘Pawan Medical’ supplies medicines. On some medicines the rate of GST is 12%, then what is the rate of CGST and SGST?

Answer:

We know that CGST and SGST are components of GST.

CGST is always equal to SGST

i.e. GST = CGST + SGST

Let CGST and SGST be x.

Then GST = x + x

⇒ 12 = 2x

⇒ x = 6%

Hence CGST, SGST = 6%

Question 2.

On certain article if rate of CGST is 9% then what is the rate of SGST? and what is the rate of GST?

Answer:

We know that CGST and SGST are components of GST.

CGST is always equal to SGST.

∴ CGST = SGST = 9%

We know that GST = CGST + SGST.

∴ GST = 9% + 9% = 18%

Question 3.

‘M/s. Real Paint’ sold 2 tins of lustre paint and taxable value of each tin is Rs. 2800. If the rate of GST is 28%, then find the amount of CGST and SGST charged in the tax invoice.

Answer:

Given rate of GST = 28%

The taxable value of 1 tin = Rs.2800

∴ Taxable value of 2 tins = Rs.5600

We know that CGST and SGST are components of GST.

CGST is always equal to SGST

i.e. GST = CGST + SGST

Let CGST and SGST be x.

Then GST = x + x

⇒ 28 = 2x

⇒ x = 14%

Hence CGST, SGST = 14%

We know that CGST = 

⇒ CGST = 

= Rs.784

∵ CGST = SGST

∴ SGST = Rs.784

Question 4.

The taxable value of a wrist watch belt is Rs. 586. Rate of GST is 18%. Then what is price of the belt for the customer?

Answer:

Given rate of GST = 18%

Taxable value of wrist watch belt = Rs.586

We know that CGST and SGST are components of GST.

CGST is always equal to SGST

i.e. GST = CGST + SGST

Let CGST and SGST be x.

Then GST = x + x

⇒ 18 = 2x

⇒ x = 9%

Hence CGST, SGST = 9%

We know that CGST = 

⇒ CGST = 

= Rs.52.74

∵ CGST = SGST

∴ SGST = Rs.52.74

We know that price of a customer = Taxable value + CGST + SGST

∴ Price of belt for customer = 586 + 52.74 + 52.74

= 691.48

Question 5.

The total value (with GST) of a remote-controlled toy car is Rs. 1770. Rate of GST is 18% on toys. Find the taxable value, CGST and SGST for this toy-car.

Answer:

We know that Total Value (with GST) = Taxable Value + GST

Given total value (with GST) = Rs. 1770

Let taxable value = x

∴ 1770 = x + 18% of x

= 

= x + 0.18x

⇒ 1770 = 1.18x

⇒ x =  = 1500

∴ x = Taxable Value = Rs. 1500

We know that CGST and SGST are components of GST.

CGST is always equal to SGST

i.e. GST = CGST + SGST

Let CGST and SGST be x.

Then GST = x + x

⇒ 18 = 2x

⇒ x = 9%

Hence CGST, SGST = 9%

We know that CGST = 

⇒ CGST = 

= Rs. 135

∵ CGST = SGST

∴ SGST = Rs. 135

Question 6.

‘Tiptop Electronics’ supplied an AC of 1.5 ton to a company. Cost of the AC supplied is Rs. 51,200 (with GST). Rate of CGST on AC is 14%. Then find the following amounts as shown in the tax invoice of Tiptop Electronics.

(1) Rate of SGST

(2) Rate of GST on AC

(3) Taxable value of AC

(4) Total amount of GST

(5) Amount of CGST

(6) Amount of SGST

Answer:

Given rate of CGST of AC = 14%

(1) We know that CGST and SGST are components of GST.

CGST is always equal to SGST.

∴ SGST = 14%

(2) We know that GST = CGST + SGST.

GST = 14% + 14% = 28%

(3) We know that Total Value (with GST) = Taxable Value + GST

Given total value (with GST) = Rs. 51, 200

Let taxable value = x

∴ 51200 = x + 28% of x

= 

= x + 0.28x

⇒ 51200 = 1.28x

⇒ x =  = 40000

∴ x = Taxable Value = Rs. 40, 000

(4) We know that total GST = GST of Taxable value

∴ GST = 28% of 40, 000

= 

= Rs. 11, 200

(5) We know that CGST and SGST are components of GST.

CGST is always equal to SGST

i.e. GST = CGST + SGST

Let CGST and SGST be x.

Then GST = x + x

⇒ 11200 = 2x

⇒ x = 5600

Hence CGST = Rs. 5600

(6) ∴ SGST = Rs. 5600

Question 7.

Prasad purchased a washing-machine from 'Maharashtra Electronic Goods'. The discount of 5% was given on the printed price of Rs. 40,000. Rate of GST charged was 28%. Find the purchase price of washing machine. Also find the amount of CGST and SGST shown in the tax invoice.

Answer:

Discount = 5% of 40, 000 = Rs. 2000

∴ Taxable value of washing machine = 40,000 – 2000 = Rs. 38, 000

Given, rate of GST = 28%

We know that CGST and SGST are components of GST.

CGST is always equal to SGST

i.e. GST = CGST + SGST

Let CGST and SGST be x.

Then GST = x + x

⇒ 28 = 2x

⇒ x = 14%

∴ CGST, SGST = 14%

∴ CGST = 14% of 38, 000 = Rs. 5320

∴ SGST = Rs. 5320

∴ Purchase price of washing machine = 38000 + 5320 + 5320

= Rs. 48, 640