Discount
- 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
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Given that , marked price = ₹ 250 , discount = 8% ,
profit = 15%
Let C.P. of article = y
According to question,92% of marked price = 115 × C.P. 100 ∴ 250 × 92 = 115y 100 100
⇒ 115y = 250 × 92⇒ y = 250 × 92 = ₹ 200 115
Second method to solve this question :
Here, r = 15%, D = 8%, M.P. = ₹ 250, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: B
Given that , marked price = ₹ 250 , discount = 8% ,
profit = 15%
Let C.P. of article = y
According to question,92% of marked price = 115 × C.P. 100 ∴ 250 × 92 = 115y 100 100
⇒ 115y = 250 × 92⇒ y = 250 × 92 = ₹ 200 115
Second method to solve this question :
Here, r = 15%, D = 8%, M.P. = ₹ 250, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D 250 = 100 + 15 C.P. 100 − 8 C.P. = 250 × 92 = ₹ 200 115
- A man buys an article for ₹ 80 and marks it at ₹ 120. He then allows a discount of 40%. What is the loss or gain percent ?
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Given that , CP of article = ₹ 80 and marked price = ₹ 120
Discount = 120 × 40 = ₹ 48 100
∴ S.P. = ₹ (120 – 48) = ₹ 72
Loss = 80 – 72 = ₹ 8∴ Loss % = 8 × 100 = 10% 80
Second method to solve this question :
Here, C.P. = Rs. 80, M.P. = Rs. 120, D = 40%
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: D
Given that , CP of article = ₹ 80 and marked price = ₹ 120
Discount = 120 × 40 = ₹ 48 100
∴ S.P. = ₹ (120 – 48) = ₹ 72
Loss = 80 – 72 = ₹ 8∴ Loss % = 8 × 100 = 10% 80
Second method to solve this question :
Here, C.P. = Rs. 80, M.P. = Rs. 120, D = 40%
Using the given formula ,M.P. = 100 + r C.P. 100 − D 120 = 100 + r 80 100 − 40 3 = 100 + r 2 60
90 = 100 + r
r =–10% (–ve sign shows loss)
⇒ Loss = 10%
- A discount of 14% on the marked price of an article is allowed and then the article is sold for ₹ 387. The marked price of the article is
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Here , SP of article = ₹ 387 , discount = 14%
Let the marked price be y
∴ ( 100 - 14 )% of y = 387
⇒ 86% of y = 387∴ y = 387 × 100 = ₹ 450 86
We can find required answer with the help of given formula :
Here, D = 14%, S.P. = 387, M.P. = ?M.P. = S.P. × 100 100 − D
Correct Option: A
Here , SP of article = ₹ 387 , discount = 14%
Let the marked price be y
∴ ( 100 - 14 )% of y = 387
⇒ 86% of y = 387∴ y = 387 × 100 = ₹ 450 86
We can find required answer with the help of given formula :
Here, D = 14%, S.P. = 387, M.P. = ?M.P. = S.P. × 100 100 − D = 387 × 100 100 − 14 = 38700 = ₹ 450 86
- A shopkeeper sells his goods at 10% discount on the marked price. What price should he mark on an article that costs him ₹ 900 to gain 10% ?
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Given that , C.P. of article = ₹ 900
Gain = 10%∴ S.P. = ₹ 
110 × 900 
= ₹ 990 100
discount = 10%
Let the marked price be y.∴ 90 y = 990 100 ∴ y = 990 × 100 = ₹ 1100 90
Second method to solve this question :
Here, D = 10%, C.P. = ₹ 900, R = 10%, M.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: D
Given that , C.P. of article = ₹ 900
Gain = 10%∴ S.P. = ₹ 110 × 900 = ₹ 990 100
discount = 10%
Let the marked price be y.∴ 90 y = 990 100 ∴ y = 990 × 100 = ₹ 1100 90
Second method to solve this question :
Here, D = 10%, C.P. = ₹ 900, R = 10%, M.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D M.P. = 100 + 10 900 100 − 10 M.P. = 110 × 900 90
M.P. = ₹ 1100
- A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by
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Let the C.P. of each article be ₹ 1
For 15 books, the tradesman gives 1 book free.
∴ C.P. of 15 books = ₹ 16
gains = 35%∴ S.P. of 15 books = 16 × 135 = ₹ 108 100 5 ∴ S.P. of 15 book = 108 = ₹ 36 5 × 15 25 Now, 96% of marked price = 36 25
Correct Option: C
Let the C.P. of each article be ₹ 1
For 15 books, the tradesman gives 1 book free.
∴ C.P. of 15 books = ₹ 16
gains = 35%∴ S.P. of 15 books = 16 × 135 = ₹ 108 100 5 ∴ S.P. of 15 book = 108 = ₹ 36 5 × 15 25 Now, 96% of marked price = 36 25 ∴ Marked price = 36 × 100 = 3 = ₹ 1.5 25 × 96 2
Total increase = 1.5 - 1 = ₹ 0.5∴ The required % increase = 0.5 × 100 = 50% 1
