Discount Questions with Solutions for Competitive Exams. Important and repeated question with answer and solution for SSC CGL, CPO, CHSL, IBPS Bank, NRA CET, UPSSSC PET and other govt jobs examinations.

### Successive Discount : Questions with Solutions

**Short Trick Formula Equivalent single discount for two successive discounts of x% and y%**

%

**Q.1: **Successive discounts of 20% and 10% are equivalent to a single discount of :

a) 15%

b) 28%

c) 25%

d) 30%

###### Show Answer

**Ans : b) 28%**

Let Price is 100

New price after 20% discount = 80

10% discount on 80 = 8,

Price after both discount = 80-8 =72

Total discount = 100-72 = 28%

**Alternate method**

20 + 10% of 80 = 28%

**Short Trick**

Formula for successive discount x and y

%

=> = 28%

**Q.2: **A single discount equivalent to the series of discounts 20%, 10% and 5% is equal to :

a) 32%

b) 30%

c) 30.7%

d) 31.6%

###### Show Answer

**Ans : d) 31.6%**

20 + 10% of 80 = 28%

28 + 5% of 72 = 28+3.6 = 31.6%

**Trick**

= 28%

= 31.6%

**Q. 3: **A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount?

a) 10%

b) 15%

c) 20%

d) 23%

###### Show Answer

**Ans: c) 20%**

Let price of one item is 100

Offer Price of 5 items ‘Buy 4 Get 1 Free’ = 4 + 1 = 400+0 = 400

One item price in offer = 400/5 = 80

Discount = 100 – 80 = 20%

**Q.4: **A scooter is sold at three successive discounts of 10%, 5% and 2%. If the marked price of the scooter is ₹18,000, find its net selling price.

a) ₹ 15,028.20

b) ₹ 15,082.00

c) ₹ 15,082.20

d) ₹ 15,080.00

###### Show Answer

**Ans : c) ₹ 15,082.20**

Price after 10% discount = 18000 – 1800 = 16200

Price after 5% discount = 16200 – 810 =15390

Price after 2% discount = 15390 – 307.80 =1582.20

**Short Trick Formula**

SP = MP

**Q.5: **A sofa-set listed at ₹800 is sold to a retailer at successive discounts of 25% and 15% by the wholesaler. Then the cost price of the sofa-set for retailer is :

a) ₹500

b) ₹510

c) ₹550

d) ₹560

###### Show Answer

**Ans : b) ₹510**

=

### Finding the Loss/Gain Percentage when Market Price is x% higher of CP and Discount of y% is given on the Market Price

**Q.6: **A shopkeeper marks his goods 20% higher than the cost price and allows a discount of 5%. The percentage of his profit is :

a) 15%

b) 20%

c) 10%

d) 14%

###### Show Answer

**Ans : d) 14%**

Let CP is 100

Marked price is 120

5% discount on 120 = 6

New Price = 120 – 6 = 114

Profit percentage = 114-100 = 14%

**Trick :**

Gain % = %

**Q.7: **The marked price is 20% higher than cost price. A discount of 20% is given on the marked price. By this type of sale, there is :

a) 4% loss

b) 2% loss

c) No loss no gain

d) 4% gain

###### Show Answer

**Ans : a) 4% loss**

Gain percentage = %

### A Shopkeeper Earns a Profit of x% after allowing a Discount of y% on the Printed Price

**Q.8: **A man allows a discount of 10% on a book whose marked price is ₹40. What is the cost price so that the profit is 20%?

a) ₹ 35

b) ₹ 40

c) ₹ 30

d) ₹ 45

###### Show Answer

**Ans : c) ₹ 30**

120% of CP = 90% of 40

x= 40

**Q.9 : **After allowing 10% discount, a dealer wishes to sell a machine for ₹2700. At what price must the machine be marked?

a) ₹ 2700

b) ₹ 2870

c) ₹ 2460

d) ₹ 3000

###### Show Answer

**Ans : d) ₹ 3000**

90% of CP = 2700

CP = 3000

**Q.10: **A merchant offers 8% discount on all his goods and still makes a profit of 15%. If an item is marked ₹ 250, then its cost price is :

a) ₹180

b) ₹200

c) ₹230

d) ₹187

###### Show Answer

**Ans : b) ₹200**

92% of MP = 115% of CP

92 x 250 = 115 x CP

CP = ₹200

### Discount Mixed Problems on Marked Price : Questions with Solutions

**Q.11:** The marked price of a CD is ₹ 250. It is sold for ₹225. The rate of discount is:

a) 2.5%

b) 10%

c) 25%

d) 11.12%

###### Show Answer

**Ans : b) 10%**

Discount = 250 – 225 = 25

25 discount on 250 = 10%

**Q.12: **A seller gains 20% profit even after allowing 10% discount, if the amount of profit on a TV set is ₹750, then the marked price of the TV set is :

a) ₹ 5200

b) ₹ 5000

c) ₹ 4800

d) ₹ 5500

###### Show Answer

**Ans : b) ₹ 5000**

20% of CP = 750, CP = 3750

90% of Marked Price = 120% of 3750 (CP)

Marked Price =

**Q.13:** The marked price of an item is twice the cost price. For a gain of 15%, the discount should be:

a) 7.5%

b) 20.5%

c) 32.5%

d) 42.5%

###### Show Answer

**Ans : d) 42.5%**

CP is 100 , MP = 200

Selling price for gain of 15% = 115

Discount = 200 – 115 = 85

85 of 200 = 42.5%

**Q.14: **If a discount of 20% on the marked price of a shirt saves a man ₹150, how much did he pay for the shirt?

a) ₹ 600

b) ₹ 650

c) ₹ 500

d) ₹ 620

###### Show Answer

**Ans : a) ₹ 600**

Marked price = 100

Price after 20 % discount = 80

Save 20 on 100. Save 1 on 5

save 150 on marked price ₹750

Pay = 750 -150 =₹600

**Q.15:** A trader marked the price of his commodity so as to include a profit of 25%. He allowed a discount of 16% on the marked price. His actual profit was

a) 5%

b) 9%

c) 16%

d) 25%

###### Show Answer

**Ans : a) 5%**

Cost Price = 100

Marked Price = 125

Selling price 84% of 125 = 105

Profit = 105-100 = 5%

**Q.16: **A fan is listed at ₹1400 and the discount offered is 10%. What additional discount must be given to bring the net selling price to ₹1200?

a) %

b) 5%

c) %

d) 6%

###### Show Answer

**Ans: c) %**

Marked Price = 1400

After 10% discount = 1400-140=1260

Second discount = 1260-1200 = ₹60

Second discount % = %

Thanks for attempt Discount Questions with Solutions for Competitive Exams.

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