Discount
 A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is


15 3 % 8  15%

15 3 % 5 
15 2 % 3


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C.P. of articles = ₹ 100 (let)
Marked price of articles = 100 × 130 = ₹ 130 100 S.P. of half of articles = 130 = ₹ 65 2
S.P. of onefourth of articles at15% discount = 65 × 85 = ₹ 27.625 2 100 S.P. of remaining articles = 65 × 70 = ₹ 22.75 2 100
Total S.P. = ₹(65 + 27.625 + 22.75)
= 115.375∴ Profit % = 15.375% = 15 3 % 8 Correct Option: A
C.P. of articles = ₹ 100 (let)
Marked price of articles = 100 × 130 = ₹ 130 100 S.P. of half of articles = 130 = ₹ 65 2
S.P. of onefourth of articles at15% discount = 65 × 85 = ₹ 27.625 2 100 S.P. of remaining articles = 65 × 70 = ₹ 22.75 2 100
Total S.P. = ₹(65 + 27.625 + 22.75)
= 115.375∴ Profit % = 15.375% = 15 3 % 8
 The list price of a shirt is ₹ 440 and a customer pays ₹ 396 for it. The discount rate is

 10%

10 1 % 2  20%
 12%

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Discount = 440 – 396 = 44
If the rate of discount be x %, then440 × x = 44 100 ⇒ x = 44 × 100 = 10% 440
Second Method :
Here, M.P. = ₹ 440
S.P. = ₹ 396Discount % = M.P. − S.P. × 100 M.P. = 440 − 396 × 100% 440 = 44 × 100% = 10% 440 Correct Option: A
Discount = 440 – 396 = 44
If the rate of discount be x %, then440 × x = 44 100 ⇒ x = 44 × 100 = 10% 440
Second Method :
Here, M.P. = ₹ 440
S.P. = ₹ 396Discount % = M.P. − S.P. × 100 M.P. = 440 − 396 × 100% 440 = 44 × 100% = 10% 440
 To attract more visitors, Zoo authority announces 20% discount on every ticket which costs 25 paise. For this reason, sale of ticket increases by 28%. Find the percentage of increase in the number of visitors.

 40%
 50%
 60%
 No change

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Original number of visitors = 100
Total revenue = 100 × 25
= 2500 paise
= ₹ 25
Case II,Cost of each ticket = 25 × 80 = 20 paise = ₹ 0.2 100
If the number of visitors be x, then
x × 0.2 = 32⇒ x = 32 = 320 = 160 0.2 2
∴ Required percentage = 60Correct Option: C
Original number of visitors = 100
Total revenue = 100 × 25
= 2500 paise
= ₹ 25
Case II,Cost of each ticket = 25 × 80 = 20 paise = ₹ 0.2 100
If the number of visitors be x, then
x × 0.2 = 32⇒ x = 32 = 320 = 160 0.2 2
∴ Required percentage = 60
 A is to pay B, ₹ 600 in 4 years time. A offers to pay up B at present. What discount should B allow A ?

 ₹ 96
 ₹ 100
 ₹ 120
 ₹ 110
 None of these

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If the rate = 5% p.a.; then
Present worth = Amount × 100 100 + (R × T) = 600 × 100 = 600 × 100 = ₹ 500 100 + (5 × 4) 120
Note : No rate is mentioned in the question.Correct Option: E
If the rate = 5% p.a.; then
Present worth = Amount × 100 100 + (R × T) = 600 × 100 = 600 × 100 = ₹ 500 100 + (5 × 4) 120
Note : No rate is mentioned in the question.
 A man saves ₹ 25 on the purchase of an article on which a discount of 20% is allowed. How much did the man pay ?

 ₹ 75
 ₹ 150
 ₹ 100
 ₹ 125

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∵ 20% ≡ ₹ 25
∴ 80% ≡ 80 × 25 = ₹ 100 20
Correct Option: C
∵ 20% ≡ ₹ 25
∴ 80% ≡ 80 × 25 = ₹ 100 20