### Chapter 13 Profit Loss Discount And Value Added Tax – Exercise 13.3 | Set 1

**Question 11. Rajat goes to a departmental store and buys the following articles:**

Item | Price per item | Rate of VAT |

2 pairs of shoes | Rs. 800 | 5% |

1 sewing machine | Rs. 1500 | 6% |

2 tea sets | Rs. 650 | 4% |

**Calculate the total amount he has to pay to the store.**

**Solution:**

Given,

C.P of 2 pairs of shoes is Rs. 800 ×

2 = Rs. 1600Rate of VAT is 5%

⇒ 5/100

×1600⇒ Rs. 80

Hence, Rajat will have to pay Rs. 1600 + Rs. 80 = Rs. 1680 for 2 pairs of shoes.

Given,

C.P of 1 sewing machine is Rs. 1500

Rate of VAT is 6%

⇒ 6 / 100

× 1500⇒ Rs. 90

Hence, Rajat will have to pay Rs. 1500 + Rs. 90 = Rs. 1590 for 1 sewing machine.

Given,

C.P of 2 tea sets is Rs. 650 × 2 = Rs. 1300

Rate of VAT is 4%

⇒ 4/100

× 1300⇒ Rs. 52

Hence, Rajat will have to pay Rs. 1300 + Rs. 52 = Rs. 1352 for 2 tea sets.

So, the total amount that Rajat has to pay to the store (Rs. 1680 + Rs. 1590 + Rs. 1352) is Rs 4622

**Question 12. Ajit buys a motorcycle for Rs. 17600 including Value- added Tax. If the rate of VAT is 10%, what is the sale price of motorcycle**?

**Solution: **

Let the sale price of motorcycle be Rs. x

Cost including VAT ⇒ 10% of x +Rs. x = Rs. 17600

⇒ (10/100) × x + x = Rs. 17600

⇒ 0.10x + x = Rs. 17600

⇒ 1.1x = 17600

⇒ x = (17600 × 10) / 11

⇒ x = Rs. 16000

Hence, the sale price of motorcycle is Rs. 16000.

**Question 13. Manoj buys a leather coat costing Rs. 900 and Rs. 990 after paying VAT. Calculate the VAT charged on the coat.**

**Solution:**

Let the VAT applied on coat be x%

The price of VAT is (Rs. 990 – Rs. 900) = Rs. 90

⇒ x% of Rs. 900 is Rs. 90

⇒ x/100 ×

900 = 90⇒ 9x = 90

⇒ x = 10

Manoj is being charged 10% VAT on leather coat.

**Question 14. Rakesh goes to a Departmental store and purchases the following articles:**

**(i) Biscuits and bakery products cost Rs. 50 , VAT @ 5%**

**(ii) Medicines costing Rs. 90 , VAT @ 10%**

**(iii) Clothes costing Rs.400 .VAT @ 1% **

**(iv) Cosmetics costing Rs. 150 , VAT @ 10%**

**Calculate the total amount to be paid by Rakesh to the store.**

**Solution:**

(i)Cost of Biscuits and bakery products = Rs. 50VAT charged = 5%

So, VAT = 5% of Rs. 50

= 5/100 × 50

= Rs. 2.50

So, the total amount to be paid for Biscuits and bakery products is Rs.50 + Rs. 2.50 = Rs. 52.50

(ii)Cost of medicines = Rs. 90VAT charged = 10%

So, VAT = 10% of Rs. 90

= 10/100 × 90

= Rs. 9

So, the total amount to be paid for Medicines is Rs. 90 + Rs.9 = Rs. 99

(iii)Cost of Clothes = Rs. 400VAT = 1%

So, VAT = 1% of Rs. 400

= 1/100 × 400

= Rs. 4

So, total amount paid for clothes = Rs. 400 + Rs. 4 = Rs. 404

(iv)Cost of cosmetics = Rs. 150VAT charged = 10%

So, VAT = 10% of 150

= 10/100 × 150

= Rs. 15

So, total amount paid for cosmetics = Rs. 150 + Rs. 15 = Rs.165

Hence, the total amount Rakesh paid at the departmental store = Rs. 52.50 + Rs.99 + Rs.404 + Rs. 165 is Rs. 720.50

**Question 15. Rajeeta purchases a set of cosmetics. She paid Rs. 165 for it including VAT. If the rate of VAT is 10%, find the sale price of the set.**

**Solution:**

Let the sale price of the set be Rs. x

Given, that the VAT charged is 10%

Cost of set ⇒ Rs.x + 10% of Rs.x = Rs. 165

⇒ x + 10/100

× x = 165⇒ 1.1x = 165

⇒ x = Rs. 150

Thus, the sale price of set is Rs. 150

**Question 16. Sunita purchases a bicycle for Rs. 660. She has paid a VAT of 10%. Find the list price of bicycle.**

**Solution:**

Let the sale price of Bicycle be Rs. x

VAT charged = 10%

Again, cost of bicycle ⇒ Rs.x + 10% of Rs. x = Rs. 660

⇒ x +10/100 × x = 660

⇒ 1.1x = 660

⇒ x = Rs. 600Thus, the list price of bicycle is Rs. 600

**Question 17. The sale price of the Television, inclusive of the VAT is Rs. 13500. If the VAT is charged at the rate of 8% of the list price, find the list price of the television.**

**Solution:**

Let the list price of T.V be Rs. x

VAT charged = 8%

Given,

Cost price of the T.V =Rs. 13500

So, Cost price of T.V ⇒ Rs. x + 8% of Rs. x = Rs. 13500

⇒ x + 8/100 × x = Rs. 13500

⇒ x + 0.08x = 13500

⇒ 1.08x = 13500

⇒ x = Rs.12500

Hence, the price list of T.V is Rs. 12500

**Question 18. Shikha purchased a car with marked price Rs. 210000 at a discount of 5%. If the VAT is charged at the rate of 10%, find the amount she had paid for purchasing the car. **

**Solution:**

Marked price of the car is Rs. 210000

Discount allowed = 5%

Therefore, discount = 5% of 210000

= 5/100 × 210000

= Rs. 10500

Therefore, The cost of car with discount will be Rs. 210000 – Rs. 10500 = Rs. 199500

VAT charged = 10% of Rs. 199500

= 10/100 × 199500

= Rs. 19950

Thus, the amount paid by Shikha for purchasing the car (Rs. 199500 + Rs. 19950) is Rs. 219450

**Question 19. Shruti bought a set of cosmetics items for Rs. 345 including 15% Value-added tax and purse for Rs. 110 including 10% VAT. What percent is the VAT charged on the whole transaction?**

**Solution:**

Let the price of the cosmetic items be Rs. x and price of the purse be Rs. y

VAT charged (on cosmetics) = 15% of x

= 15/100 × x

= 3x/20

VAT charged (on purse) = 10% of y

= 10/100

×y= y/10

S.P of cosmetics items = x + 3x/20

= 23x/20

S.P of purse items = y + y/10

= 11y/10

But, selling price of cosmetics and purse is Rs. 345 and Rs. 110 respectively.

So, 3x/20 = 345

⇒ x = (345 × 20) / 3

⇒ x = Rs. 300

So, 11y/10 = 110

⇒ y = (110 × 10) / 11

⇒ y = Rs. 100

Total Price, = Rs. 300 + Rs. 100

= Rs. 400

Total VAT = (Rs.345 – Rs. 300) + (Rs. 110 – Rs. 100)

= Rs. 45 + Rs.10

= Rs. 55

Let, the VAT on whole traction be r%

Now, r% of 400 = 55

⇒ r/100 × 400 = 55

⇒ 4r = 55

⇒ r = 13.75

Hence, the VAT of total transaction is 13.75%

**Question 20. The list price of the cooler is Rs. 2563. The rate of VAT is 10%. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs. 2563 inclusive of VAT. Find the discount in the price of the cooler.**

**Solution:**

Let the reduced price of the cooler, executing VAT be Rs. x

VAT charged = 10% of Rs. x

= 10/100 ×

x= 1/10 x

Therefore, S.P of the cooler = Rs. x + Rs.1/10x

= Rs. 11/10x

But, S.P is already given as Rs. 2563

So,

⇒ 11/10x = 2563

⇒ x = (2563 × 10) / 11

⇒ x = Rs. 2330

Hence, the discount in the price of the cooler (Rs. 2563 – Rs. 2330) is Rs. 233

Discount allowed in the price of cooler is Rs. 233

**Question 21. The list price of a washing machine is Rs. 9000. If the dealer allows a discount of 5% on the cash payment, how much money will a customer pay to the dealer in cash, if the rate of VAT 10%?**

**Solution:**

List price of the machine = Rs. 9000

Discount allowed = 5%

Discount is 5% of Rs. 9000

⇒ 5/100 × 9000

⇒ Rs. 450

So, the cost of washing machine after discount = list price – discount

= Rs. 9000 – Rs.450

= Rs. 8550

VAT charged = 10% of Rs. 8550

= 10/100 × 8550

= Rs. 855

Thus, the customer has to pay = Rs. 8550 + Rs. 855 is Rs. 9405

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