**Question 1. The list price of a refrigerator is Rs.9700. If a value-added tax of 6% is to be charged on it, how much one has to pay to buy the refrigerator?**

**Solution:**

List price of the refrigerator = Rs. 9700

VAT = 6%

So, VAT = 6% of Rs. 9700

= 6/100 × 9700

= Rs. 582

The total amount to be paid will be (Rs. 9700 + Rs. 582) = Rs. 10282

Hence, the total one has to pay to buy the refrigerator is Rs. 10282.

**Question 2. Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the price list, what was the list price of the watch? **

**Solution:**

Let the list price of the watch be Rs. x

Vikram bought it for (Rs. x + 10x/100) = Rs. 825

⇒ x + 0.1x = 825

⇒ 1.1x = 825

⇒ x = 825

/ 1.1⇒ x = 8250/11

⇒ x = 750

Thus, the price of Watch is Rs. 750

**Question 3. Aman bought a shirt for Rs. 347.50 which includes 7% VAT. Find the list price of the shirt.**

Let the price of shirt be Rs. x

Then,

Aman bought the shirt for (Rs. x + Rs. 7x/100) = Rs. 347.50

⇒ x + 7x/100 = 347.50

⇒ 107x/100 = 347.50

⇒ x = (347.50

×100) / 107⇒ x = 350

Hence, the price of the shirt is Rs. 350

**Question 4. Rani purchases a pair of shoes whose sale price is Rs. 175. If she pays VAT at the same rate of 7%, how much amount does she pay VAT? Also, find the net value of the pair of shoes.**

**Solution:**

Given,

Selling price of shoes = Rs. 175

VAT = 7 %

Therefore, 7% of 175

⇒ 7/100

×175⇒ Rs. 12.25

Rani has to pay Rs. 12.25 as VAT also, the net value of shoes ( VAT + Price) is Rs. 12.25 + Rs. 175 = Rs. 187.25

**Question 5. Swarna paid Rs. 20 as VAT on a pair of shoes worth Rs. 250. find the rate of the VAT.**

**Solution:**

Given,

Amount paid by Swarna for a pair of shoes = Rs. 250

VAT paid by her = Rs. 20

Let the rate of VAT be x %

Then, x% of 250 = 20

⇒ x/100 ×

250 = 20⇒ x = (20 × 10) / 25

⇒ x = 8

Hence, Swarna paid 8% VAT on her pair of shoes.

**Question 6. Sarita buys goods worth Rs. 5500. She gets a rebate of 5% on it. After getting the rebate if VAT at the rate of 5% is charged, find the amount she will have to pay for the goods.**

Price after getting a rebate of 5% on Rs. 5500

⇒ 5% on Rs. 5500

⇒ 5 /100 ×

5500⇒ Rs. 275

So, the new cost = Rs. 5500 – Rs. 275 = Rs. 5225

Now, VAT = 5%

Then, 5% of Rs. 5225

⇒ 5/100 ×

5225⇒ Rs. 261.25

The amount to be paid for the goods is Rs.5225 + Rs. 261.25 = Rs. 5486.25

**Question 7. The cost of furniture inclusive of the VAT is Rs. 7150. if the rate of the VAT is Rs. 105, find the original cost of the furniture.**

Cost of furniture inclusive of VAT = Rs. 7150

Let the original cost be Rs. x

Cost of furniture ⇒ 10% of x + x = Rs. 7150

⇒ 10/100 ×

x + x = 7150⇒ 0.1x + x = 7150

⇒ 1.1x = 7150

⇒ x = (7150

×10)/11⇒ x = Rs. 6500

Thus, The original cost of furniture is Rs. 6500

**Question 8. A furniture is available for Rs. 13750 including VAT. If the rate of the VAT is 10%, find the original cost of the furniture.**

Given,

Cost of the furniture inclusive VAT is Rs. 13750

Let the original price of furniture be Rs. x

Cost of furniture = 10% of Rs. x + Rs. x is Rs. 13750

⇒ 10/100

× x + x = 13750⇒ 0.1x + x = 13750

⇒ 1.1x = 13750

⇒ x = (13750 ×

10) / 11⇒ x = Rs. 12500

Hence, the original price of furniture is Rs. 12500.

**Question 9. A **colour** T.V is available for Rs. 13440 including VAT. If the original cost of T.V is Rs.12000. Find the rate of VAT.**

Given,

The cost of T.V including VAT = Rs. 13440

Original cost of T.V = Rs. 12000

Let, the rate of VAT be x%

Cost of the T.V is x% of Rs. 12000 + Rs. 12000 is Rs. 13440

⇒ x/100 ×

12000 + 12000 = 13440⇒ 120x + 12000 = 13440

⇒ 120x = 13440 – 12000

⇒ x = 1440 / 120

⇒ x = 12

The VAT rate on color T.V is 12%

**Question 10. Reena goes to a shop to buy a radio, costing Rs. 2568. The rate of the VAT is 7%. She tells the shopkeeper to reduce the price of radio such that she has to pay Rs. 2568, inclusive VAT. Find the reduction needed at the price of **the **radio.**

Let the reduced price, excluding the VAT , of the radio be Rs. x

Then VAT = 7% of Rs. x

⇒ 0.07x

S.P of the radio= Rs. x + Rs. 0.07x

= 1.07x

S.P is given as Rs. 2568

⇒ 1.07x = 2568

⇒ x = (2568 ×

100) / 107⇒ x = Rs. 2400

So, the reduction in the price of radio is Rs. 2568 – Rs. 2400

= Rs. 168

The reduction needed at the price of radio is Rs. 168