**Chapter 13: Profits, Loss, Discount and Value Added Tax Exercise – 13.2**

**Question: 1**

Find the S.P.

(i) P = Rs.13000 and Discount = 10%

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

**Solution:**

**Question: 2**

Find the M.P.

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

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

**Solution:**

**Question: 3**

Find the discount in percent.

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

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

**Solution:**

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

We know that,

S.P = M.P - discount

= 873 = 900 – discount

**Question: 4**

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

**Solution:**

**Question: 5**

The marked price of a ceiling fan is Rs. 720. During off-season, it is sold for Rs.684, determine the discount percentage.

**Solution:**

Given, M.P of the ceiling fan = Rs. 720

S.P of the ceiling fan = Rs. 684

Since S.P = M.P – discount

Discount = M.P – S.P

= Rs. (720 - 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 market price?

**Solution:**

**Question: 7**

After allowing a discount of 7(1/2) % on the market price, an article is sold for Rs.555. find the marked price.

**Solution:**

**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:**

**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 as Rs.500?**Solution:**

**Solution:**

Given,

M.P of the an article = Rs.500

Discount = 20%

Therefore, discount = 20% of 500

**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:**

**Question: 11**

A shopkeeper marks his goods at such a price 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 the C.P be Rs. x

Let the M.P be Rs. y

Gain % = 50%

**Question: 12**

A cycle dealer offers a discount of10% and still makes a profit of 26%. What is the actual cost to him of a cycle whose marked price is Rs.840?

**Solution:**

**Question: 13**

A shopkeeper allows 23% on 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:**

**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:**

**Question: 15**

By selling a pair of earrings at a discount of 25% on the marked price, a jeweler 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:**

**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:**

**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:**

**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:**

**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:**

**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:**

**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:**

**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:**

**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 as Rs.850?

**Solution:**

**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:**

**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?