### Question 1: Find the S.P. if M.P. = Rs 1300 and Discount = 10%

**Solution:**

Using Formula S.P = (M.P * (100 – Discount%))/100

Hence, S.P = Rs (1300 * (100 – 10))/100

= Rs (1300 * 90)/100

= Rs 1170

### Question 2: Find the S.P. if M.P. = Rs 500 and Discount = 15%

**Solution:**

Using Formula, S.P = (M.P * (100 – Discount%))/100

Hence, S.P = Rs (500 * (100 – 15))/100

= Rs ((500 * 85))/100

= Rs 425

### Question 3: Find the M.P. if S.P. = Rs 1222 and Discount = 6%

**Solution:**

Using Formula, M.P = (S.P * 100)/(100 – Discount%)

Hence, M.P = Rs (1222 * 100)/(100 – 6)

= Rs (1222 * 100)/94

= Rs 1300

### Question 4: Find the M.P. if S.P. = Rs 495 and Discount = 1%

**Solution:**

Using Formula, M.P = (S.P * 100)/(100 – Discount%)

Hence, M.P = Rs (495 * 100)/(100 – 1)

= Rs (495 * 100)/99

= Rs 500

### Question 5: Find discount in percent when M.P. = Rs 900 and S.P = Rs 873

Solution :

Using Formula, Discount% = ((M.P – S.P) * 100)/M.P

Hence, Discount% = (((900 – 873) * 100)/900)%

= ((27 * 100)/900)%

= 3%

### Question 6: Find discount in percent when M.P. = Rs 500 and S.P. = Rs 425

**Solution:**

Using Formula, Discount% = ((M.P – S.P) * 100)/M.P

Hence, Discount% = (((500 – 425) * 100)/500)%

= ((75 * 100)/500)%

= 15%

### Question 7: A shop selling sewing machines offers 3% discount on all cash purchases. What cash amount does a customer pay for a sewing machine (correct up to two decimal places) the price of which is marked as Rs 650.

**Solution:**

Here, M.P of sewing machine = Rs 650

Discount% = 3%

To find, S.P of sewing machine.

Using Formula, S.P = (M.P * (100 – Discount%))/100

Hence, S.P of sewing machine = Rs(650 * (100 – 3))/100

= Rs (650 * 97)/100

= Rs 630.50

### Question 8: The marked price of a ceiling fan is Rs 720. During offseason, it is sold for Rs 684. Determine the discount percentage.

**Solution: **

Here, M.P of ceiling fan = Rs 720

S.P of ceiling fan = Rs 684

To find, Discount%

Using Formula, Discount% = ((M.P – S.P) * 100)/M.P

Hence, Discount% = (((720 – 684) * 100)/720)%

= ((36 * 100)/720)%

= 5%

### Question 9: On the eve of Gandhi Jayanti a saree is sold for Rs 720 after allowing 20% discount. What is its marked price?

**Solution:**

Here, S.P of saree = Rs 720

Discount% = 20%

To find M.P of saree

Using Formula, M.P = (S.P * 100)/(100 – Discount%)

Hence, M.P of saree = Rs (720 * 100)/(100 – 20)

= Rs (720 * 100)/80

= Rs 900

### Question 10: After allowing a discount of 7.50% on the marked price, an article is sold for Rs 555. Find its marked price.

**Solution:**

Here, S.P of article = Rs 555

Discount% = 7.50%

Using Formula, M.P = (S.P * 100)/(100 – Discount%)

Hence, M.P of article = Rs (555 * 100)/(100 – 7.50)

= Rs (555 * 100)/92.50

= Rs 600

### Question 11: 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:**

Here, M.P of goods = Rs 250

Discount% given to customer = 10%

Profit% earned by shopkeeper = 25%

To find C.P of goods.

Using Formula, S.P = (M.P * (100 – Discount%))/100

Hence, S.P of goods = Rs (250*(100 – 10))/100

= Rs (250 * 90)/100

= Rs 225

Using Formula, C.P = (S.P * 100)/(100 + Profit%)

Hence, C.P of goods = Rs (225 * 100)/(100 + 25)

= Rs (225 * 100)/125

= Rs 180

### Question 12: 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:**

Here, M.P of goods = Rs 500

Discount% given to customer = 20%

Profit% earned by shopkeeper = 25%

To find C.P of goods.

Using Formula, S.P = (M.P * (100 – Discount%))/100

Hence, S.P of goods = Rs (500 * (100 – 20))/100

= Rs (500 * 80)/100

= Rs 400

Using Formula, C.P = (S.P * 100)/(100 + Profit%)

Hence, C.P of goods = Rs (400 * 100)/(100 + 25)

= Rs (400 * 100)/125

= Rs 320

### Question 13: A tradesman marks his goods at such a price 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:**

Here, C.P of the article = Rs 170

Discount% = 15%

Profit% earned by tradesman = 20%

To find M.P of the article.

Using Formula, S.P = (C.P * (100 + Profit%))/100

Hence, S.P of the article = Rs (170 * (100 + 20))/100

= Rs (170 * 120)/100

= Rs 204

Using Formula, M.P = (S.P * 100)/(100 – Discount%)

Hence, M.P of the article = Rs (204 * 100)/(100 – 15)

= Rs (204 * 100)/85

= Rs 240

### Chapter 13 Profit Loss Discount And Value Added Tax – Exercise 13.2 | Set 2

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