Here is a set of Discount Math Problems for SSC CGL, SSC CHSL, IBPS PO, IBPS Clerk, RRB exam. Quantitative Section of almost every exam contains a question from Discount. Solution of the given discount problems are given at the bottom.

## Discount Math Problems Set 1

1. A shopkeeper marks his goods at such a price that after allowing a discount on 12.5% on the marked price, he still earns a profit of 10%. The marked price of an article which costs him ₹ 4,900 is –

A.5,390

B.6,160

C.5,490

D.6,260

E.None of these

2. A person subscribing to cable for ₹ 1,785. If the monthly subscription is ₹175, how much discount does a yearly subscriber get?

A.15%

B.20%

C.25%

D.None ofthe above

E.Can’t be determined

3. In a sale, jacket is available on discount of 25% on the selling price. If a jacket costs ₹ 5895 in the sale, what is the selling price of the perfume?

A.₹ 6020

B.₹ 7860

C.₹ 7680

D.Cannot be determined

E.None of the above

4. An article was bought for Rs.5200. Its price was marked up by 15%. Thereafter it was sold at a discount of 9% on the marked price.

i)What was the amount of discount given?

A.₹ 528.20

B.₹ 519.20

C.₹ 533.20

D.₹ 538.20

E.₹ 529.20

ii) What was the marked price of the article?

A.₹5780

B.₹5880

C.₹5990

D.₹5790

E.₹5980

iii) What was the percent profit earned on the transaction?

A.4.85%

B.4.65%

C.4.35%

D.4.45%

E.4.25%

5. trader marked his goods at 20% above the cost price. He sold half of the stock at the marked price,one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is –

A.2%

B.4.5%

C.13.5%

D.15%

E.None of the above

6. A shopkeeper lists the price of an article ₹500. But he gives a certain discount which allows the buyer to pay Rs.500 for the article including 10% sales tax. The rate of discount is-

A.10%

B.111/11%

C.100/11%

D.11%

E.None of the above

7. A retailer purchases a grinder at a discount of 15% and sells it for Rs.1955 at a profit of 15%. The amount of discount received by the retailer from the whole seller was-

A.₹270

B.₹290

C.₹300

D.₹330

E.None of these

8. In order to maintain the Priceline a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit percent of-

A.30%

B.32%

C.33%

D.35%

E.None of the above

9. A shopkeeper sell 25 articles at ₹ 45/- per article after giving 10% discount and gains 50% profit. If the discount is not given what is the profit gained?

A.60%

B.182/3%

C.200/3%

D.66%

E.Noneof the above

10. Harshita bought an item with 30% discount on the listed price. Had she not got the discount, she would have paid ₹ 82.50 extra. at what price did she buy the item?

A.₹192.50

B.₹275

C.₹117.85

D.Cannot be determined

E.Noneof these

11. while selling an item, a shopkeeper gives a discount of 15%. If he gives a discount of 20%, he earns Rs. 51 less as profit. What is the original price of the item?

A.Rs.920

B.Rs.985

C.Rs.1125

D.Rs.1020

E.None of these

12. On a ₹10,000 payment order, a person has choice between 3 successive discounts of 10%, 10% and 30%, and 3 successive discounts of 40%, 5% and 5%. By choosing the better one he can save (in ₹)-

A.200

B.255

C.400

D.433

E.None of the above

13. A book is listed at ₹150, with a discount of 20 percent. What additional discount must be offered to bring the net price to ₹108?

A.8 percent

B.10 percent

C.25/2 percent

D.15 percent

E.None of the above

Solutions : –

1. SP of the articles = 4900 x 110/100 = 5390

Marked Price = 100/87.5 x 5390 = 6160

2.Total annual subscription = ₹(175 x 12) = 2100

Actual Subscription = ₹1785

Discount = ₹2100 – ₹ 1785 = ₹315

Discount per cent = 315/2100 x 100 = 15%

3.Let the SP of the article be ₹ x

75% of x = ₹5895

x X 75/100 = ₹5895

x = (5895×100)/75 = ₹7860

4.(i)Marked Price = (5200×115)/100 = ₹5980

Discount = (5980 x 9)/100 = 538.2

(ii)Marked Price = ₹5980

(iii)SP of the article = 5980 – 538.2 = ₹5441.8

Gain = 5441.8 – 5200 = 241.8

Gain percent = 241.8/5200 x 100 = 4.65%

5.Let CP = 100;Marke Price = 120

SP of 1/2 stock = 60

Gain = 10

SP of 1/4 stock = (80% of ₹ 120) x 1/4 = ₹18

Loss = ₹(25 – 18) = ₹7

Gain = 10-1-7 = 2%

6. Let SP be x

x + x X 10/100 = ₹500

11x/10 = 500 => x = ₹5000/11

Discount = 500-5000/11 = 500/11

Discount percent = 500×100/(11×500) = 100/9%

7.Let the marked price = 100

SP after discount = 15% = 85

SP to gain 15% = (85×115)/100 = ₹97.75

If ₹97.75 is the SP, the marked price = ₹100

If ₹1955 is the SP, the marked price = 100/97.5 x 1955 = 2000

2000×15/100 = ₹300

8.Let the marked price is ₹100

SP = 90% of ₹100 = 90

Profit = 17%

CP = 90 of ₹100/117 = ₹1000/13

If no discount is allowed, SP = ₹100

Profit = ₹(100 – 1000/13) = 300/13

Profit % = 300/13/1000/13 x 100 = 30%

9.Total marked price = 25×45 = 1125

SP = 90/100 x 11255 = 102.5

CP= x ; Profit =50

150/100x = 1012.5 = 675

SP = 1125

Profit = 1125 – 675 = 450

Profit % = 450/675×100 = 200/3%

10.Let Listed Price be x

discount = 30% of x

3x/10 = 82.5 ; x = (82.5 x 10)/3 = ₹ 275

CP = 70% of 275 = 192.50

11.Let marked price = x

SP=85% of x =0.85x

Second SP = 80% od ₹ x = ₹ 0.8x

0.85x -0.8x = 51

x=51/0.05=1020

12.SP= 70/100 x 90/100 x 90/100 x 10000 = 5670

=95% of 95% of 60% x 10000 = ₹5415

=5670 – 5415 = 255

13.After discount CP = 80% of 150 = 120

Let x% be the additional discount

120-108=12

x% of Rs.120 = 12

x=10%