# Discount Math Problems with Answers

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%