# Discount

1. A single discount of 50 % on an article costing ₹10000 is better than two successive discounts of 40% and 10 % by

(a)₹ 400 (b)₹ 1000

(c)₹ 500 (d)₹ 600

Solution: (a) Single Discount = 50%

Two successive Discount =

Difference =

Difference amount= Ans.

2. A dealer buys a table listed at ₹1,500 and gets discounts of 20% and 10%. He spends ₹20 on transportation and sells at a profit of 20 %. Find the selling price of the table (in rupee).

(a)1320 (b)1080

(c)1200 (d)1230

Solution: (a) L.P (Listed Price) of table = ₹ 1500

After discount , C.P. =

After transportation charges

= 1080+20 = C.P. = ₹ 1100

S.P. of table= = Rs 1320

3. Which of the following successive discounts is better to a customer?

(1)20%, 15%, 10%

(2) 25%, 12%, 8%

(a) (1) is better

(b) (2) is better

(c) (1) or (2) (both are same)

(d) None of these

Solution: (b)

(i) 20%, 15%, 10%

Successive discount of 20% and 15%

Successive discount of 32% and 10%

(ii) 25%, 12% and 8%

Successive discount of 34% and 8%

Second case is better for the customer.

4. The marked price of an article is ₹100. A discount series of 5%,10% successively reduces the price of an article by

(a) ₹4.5 (b)₹14.5

(c) 24.5 (d) none of these

Solution: (b) two successive discount of 5% and 10%

After discount M.P. decreases =

5. Two successive discounts of 10% and 5%, in the order , are given on a bill of ₹110. Find the net amount of money payable to clear the bill (answer to the nearest rupee)

(a)₹ 94 (b) ₹ 95

(c) ₹ 96 (d) ₹ 97

Solution: (a) Bill amount = ₹ 110

After discount net amount of bill 90% of 95% of 110

6. A profit of 10% is a made after giving discount of 5% on a T.V. If the marked price of the TV is ₹2640.00, the cost price of the TV was :

(a) 2280 (b) ₹2296

(c) 2380 (d) ₹ 2396

Solution (a) M.P. of T.V. = ₹ 2640

S.P. of T.V Rs

C.P. of TV =

7. Discount on a pair of shoes marked at ₹ 475 and discounted at 15% is

(a) ₹ 70 (b) ₹72

(c) ₹ 71.25 (D) ₹ 75.25

Solution: (c) M.P. of shoes = ₹ 475

Discount Rs

8. A shopkeeper marks his goods 20% above the cost price and gives 15% discount on the marked price. His gain percent is

(a) 5% (b) 4%

(c) 2% (d) 1%

Solution: (c) Let the C.P. = ₹ 100

M.P.= 120% of 100=₹ 120

S.P. = 85% of 120

9. With 5% discount on the cost of sugar, a buyer could purchase 2 kg more sugar for ₹ 608 original selling price of sugar is.

(a)₹15.50 (b) ₹ 15

(c) ₹ 16.50 (d) ₹ 16

Solution: (d)

Original Quantity= 40-2 = 38 kg

Original price = = Rs 16 per kg

10. A man saves ₹ 25 on the purchase of an article on which a discount of 20% is allowed. How much did the man pay?

(a) ₹ 75 (b) ₹ 150

(c) ₹ 100 (d) ₹ 125

Solution: (c)

Rs

He pay Rs

11. A shopkeeper marks the price of an article at ₹80. What will be the selling price, if he allows two successive discounts at 5% each?

(a)₹72.2 (b)₹72

(c)₹85 (d₹7.2

Solution: (a) M.P. of article = ₹ 80

Two successive discount=

Discount of article

S.P. of article = 80-7.80 = ₹ 72.20

12. A purchased a dining table marked at ₹ 3000 at a successive discounts of 10% and 15% respectively .He gave ₹105 as transportation charge and sold it at₹3200 .What is his again percentage?

(a) (b)25%

(c) (d)

Solution: (c) M.P. of Dining table = ₹ 3000 after discount ,

C.P. =

After transport charges

= 2295+105

C.P. = ₹ 2400

S.P. = ₹ 3,200

13. An article is marked as ₹5,000.The shopkeeper allows successive discounts of x%, y%, z% on it. The net selling price is

(a) Rs.

(b) Rs.

(c) Rs.

(d) Rs.

Solution: (c) After three successive Discount S.P.of an article

14. A merchant allows a discounts of 10% on marked price for the cash payment . To make a profit of 17%, he must mark his goods higher than their cost price by

(a) 33% (b) 40%

(c) 27% (d) 30%

Solution: (d) Let the C.P. = ₹ 100

S.P. = 117 % of 100 = ₹ 117

M.P. =

M.P. above %

15. A shopkeeper purchased a chair marked at ₹ 600 at two successive discounts of 15% and 20 % respectively. He spent ₹258 on transportation and sold the chair for ₹ 545. His again percentage was

(a)25% (b) 30%

(c)35% (d) 20%

Solution: (c) M.P. of chair = ₹ 600

After Discount C.P. =

After Transportation charges

C.P. = 408+28=₹ 436

16. If the discount is equal to one fifth of the marked price and the loss is half the discounts, Then the percentage of loss is

(a) (b)

(c) (d)

Solution: (b) let the M.P. = ₹ 100

Discount

Loss

C.P.= 100-20+10= ₹ 90

%

17. A machine is marked at ₹ 6,800 and available at a discount of 10%. The shopkeeper gives another off season discount to the buyer and sells the machine for ₹ 5,202 .Find the off season discount.

(a) 10% (b) 12%

(c) 15% (d) 8%

Solution: (c) M.P. of machine = ₹ 6800

After 1^{st} discount Rs.

S.P. of machine = ₹ 5,202

18. After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. The marked price is above the cost price by

(a) 25% (b) 30%

(c) 37.5% (d) 42.5%

Solution: (c) let the C.P. = ₹ 100

S.P. = 121% of 100 = ₹ 121

Rs.

M.P. above % =37.5%

19. A double bed is marked at ₹ 7,5000. The shopkeeper allows successive discounts of 8% , 5% and 2 % on it what is the net selling price?

(a) ₹ 6,500 (b) ₹ 6,000

(c) ₹ 6,4239 (d) ₹ 6,500.00

Solution: (c) Net selling price Rs.

20. A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8 % on the discounted price. If the customer pays ₹ 3,402 as the price including the sales tax then the marked price is

(a) ₹ 3,400 (b) ₹3,500

(c) ₹ 3,600 (d) ₹ 3,800

Solution: (b) MP of the item Rs.

21. The cost price of a table is ₹ 3,200. A merchant wants to make 25% profit by selling it. At the time of sale he declares a discount of 20 % on the marked price. The marked price (in ₹) is

(a) 5,000 (b) 6,000

(c) 4,000 (d) 4,500

Solution: (a) MP of the table Rs.

22. A shopkeeper offers 15% discount on all plastic toys. He offers a further discount of 4% on the reduced price to those customers who pay cash. What does a customers have to pay (₹ in) in case for a toys of ₹ 200?

(a) 133.7 (b) 129.8

(c) 163.2 (d) 153.2

Solution: (c) According to question

23. Successive discounts of 20% and 40% equal a single discount of

(a) 60% (b)20%

(c) 52% (d) 48%

Solution: (c) Single Discount

24. A shopkeeper allows a discount of 12.5% on the marked price of a certain article and makes a profit of 20 %. If the article cost the shopkeeper ₹ 210, then the marked price of the article will be

(a) ₹ 387 (b) ₹ 350

(c) ₹ 386 (d) ₹ 288

Solution:(d) MP of the article RS.

25. How much percentage more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20%?

(a) 70% (b) 50%

(c) 60% (d) 55%

Solution: (c) Let of C.P =- ₹ 100

S.P. = 120% of 100=₹ 120

M.P.= 120 = Rs. 160

Above % = = 60 %

26. A shopkeeper sold an item for ₹ 1,510 after giving a discount of 24 % and there by incurred a loss of 10%. Had he sold the item without discount his net profit would have been

(a) ₹ 641 (B() ₹ 322

(C) ₹ 422 (D) ₹ 322

Solution: (d) Let the M.P. of an item = ₹ x

S.P. of an item

Without discount, gain