## RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax (VAT) Ex 13.2

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax (VAT) Ex 13.1

**Other Exercises**

- RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax Ex 13.1
- RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax Ex 13.2
- RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax Ex 13.3

**Question 1.**

**Find the S.P. If**

**(i) M.P. = Rs. 1300 and Discount = 10%**

**(ii) M.P. = Rs. 500 and Discount = 15%**

**Solution:**

(i) M.P. = Rs. 1300, Discount = 10%

**Question 2.**

**Find the M.P. If**

**(i) S.P. = Rs. 1222 and Discount = 6%**

**(ii) S.P. = Rs. 495 and Discount = 1%**

**Solution:**

(i) S.P. = Rs. 1222, discount = 6%

**Question 3.**

**Find discount in percent when**

**(i) M.P. = Rs. 900 and S.P. = Rs. 873**

**(ii) M.P. = Rs. 500 and S.P. = Rs. 425**

**Solution:**

(i) M.P. = Rs. 900

S.P. = Rs. 873

Discount = M.P. – S.P. = Rs. 900 – Rs. 873 = Rs. 27

(ii) M.P. = Rs. 500

S.P. = Rs. 425

Discount M.P. – S.P. = Rs. 500 – Rs. 425 = = Rs. 75

**Question 4.**

**A shop selling sewing machines offers 3% discount on ail cash purchases. What cash amount does a customer pay for a sewing machine, the price of which is marked as Rs. 650.**

**Solution:**

Marked price (M.P.) of one sewing machine = Rs. 650

Rate of discount = 3%

**Question 5.**

**The marked price of a ceiling fan is Rs. 720. During off season, it is sold for Rs. 684. Determine the discount percent.**

**Solution:**

Marked price (M.P.) of fan = Rs. 720

Sale price (S.P.) = Rs. 684

Amount of discount = M.P. – S.P. = Rs. 720 – Rs. 684 = Rs. 36

**Question 6.**

**On the eve of Gandhi Jayanti, a saree is sold for Rs. 720 after allowing 20% discount. What is the marked price ?**

**Solution:**

S.P. of saree = Rs. 720

Rate of discount = 20%

**Question 7.**

**After allowing a discount of 7\(\frac { 1 }{ 2 }\) % on the marked price, an article is sold for Rs. 555. Find its marked price.**

**Solution:**

Selling price (S.P.) = Rs. 555

**Question 8.**

**A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 250?**

**Solution:**

Marked price = Rs. 250

Discount allowed = 10%

**Question 9.**

**A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 500 ?**

**Solution:**

Marked price (M.P.) of an article = Rs. 500

Discount allowed = 20%

Selling price (S.P.)

**Question 10.**

**A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs 170 ?**

**Solution:**

Rate of discount = 15% gain = 20%

Cost price (C.P.) of an article = Rs 170

Selling price (S.P.)

**Question 11.**

**A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P. to the M.P.**

**Solution:**

Let cost price (C.P.) = Rs 100

Profit = 50%

Selling Price (S.P.)

**Question 12.**

**A cycle dealer offers a discount of 10% and still makes a profit of 26%. What is the actual cost to him of a cycle whose marked price is Rs 840 ?**

**Solution:**

Rate of discount = 10%

Gain = 26%

Marked Price (M.P.) = Rs 840

Selling Price (S.P.)

**Question 13.**

**A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs 56 on one item, find his advertised price.**

**Solution:**

Rate of commission = 23%

Profit = 10%

Total gain = Rs 56

**Question 14.**

**A shopkeeper marks his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make, if he receives Rs 1064 after paying the discount ?**

**Solution:**

Let cost price (C.P.) = Rs 100

Marked price = Rs 100 + 40 = Rs 140

Rate of discount = 5%

Selling price (S.P)

**Question 15.**

**By selling a pair of ear rings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs 48, what is the cost price ? What is the marked price and the price at which the pair was eventually bought ?**

**Solution:**

Total profit = Rs 48

Profit percent = 16%

Cost price = \(\frac { 48 x 100 }{ 16 }\) = Rs 300

Selling Price = C.P. + profit = Rs 300 + Rs 48 = Rs 348

Rate of discount = 25%

**Question 16.**

**A publisher gives 32% discount on the printed price of a book to booksellers. What does a bookseller pay for a book whose printed price is Rs 275 ?**

**Solution:**

Printed price of a book = Rs 275

Rate of discount = 32%

Selling price (S.P.)

**Question 17.**

**After allowing a discount of 20% on the marked price of a lamp, a trader loses 10%. By what percentage is the marked price above the cost price ?**

**Solution:**

Rate of discount = 20%

Loss = 10%

Let the cost price of the lamp = Rs 100

Loss = 10%

Selling price = Rs 100 – 10 = Rs 90

Rate of discount = 20%

**Question 18.**

**The list price of a table fan is Rs 480 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15% ?**

**Solution:**

List price of table fan (M.P.) = Rs 480

Rate of discount = 25%

Selling price (S.P)

**Question 19.**

**Rohit buys an item at 25% discount on the marked price. He sells it for Rs 660, making a profit of 10%. What is the marked price of the item ?**

**Solution:**

Rate of discount = 25%

Selling price (S.P.) for Rohit = Rs 660

Profit = 10%

**Question 20.**

**A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs 360 over the sale of one cycle, find the marked price of the cycle.**

**Solution:**

Rate of discount = 20%

Profit = 20%

Total gain = Rs 360

**Question 21.**

**Jyoti and Meena run a ready-made garment shop. They mark the garments at such a price that even after allowing a discount of 12.5%, they make a profit of 10%. Find the marked price of a suit which costs them Rs 1470.**

**Solution:**

Rate of discount = 12.5%

Profit = 10%

Cost price = Rs 1470

**Question 22.**

**What price should Aslam mark on a pair of shoes ? Which costs him Rs 1200 so as to gain 12% after allowing a discount of 16% ?**

**Solution:**

Cost price of shoes = Rs 1200

Gain = 12%

**Question 23.**

**Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt for her marked at Rs 850 ?**

**Solution:**

Marked price of a shirt = Rs 850

Discount = 4%

Selling price

**Question 24.**

**A shopkeeper offers 10% off-season discount to the customers and still makes a profit of 26%. What is the cost price for the shopkeeper on a pair of shoes marked at Rs 1120 ?**

**Solution:**

Marked price = Rs 1120

Rate of discount = 10%

S.P. of shoes

**Question 25.**

**A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs 1250 ?**

**Solution:**

Marked price (M.P.) of fan = Rs 1250

Discount = 10%

S.P. of the fan

Hope given RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax Ex 13.2 are helpful to complete your math homework.

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