Discount
- In a shop, shirts are usually sold at 40% above the cost price. During a sale, the shopkeeper offers a discount of 10% off the usual selling price. If he manages to sell 72 shirts for ₹ 13,608, then his cost price per shirt, (in ₹) is
-
View Hint View Answer Discuss in Forum
Let the CP of each shirt be
₹ 100, then SP = ₹ 140.∴ New SP = 140 × 90 = ₹ 126 100
∴ When S.P. is ₹ 126
C.P. = ₹ 100∴ When S.P. is ₹ 13680 , 72
Correct Option: B
Let the CP of each shirt be
₹ 100, then SP = ₹ 140.∴ New SP = 140 × 90 = ₹ 126 100
∴ When S.P. is ₹ 126
C.P. = ₹ 100∴ When S.P. is ₹ 13680 , 72 then C.P. = 100 × 13680 = ₹ 150 126 72
- A merchant allows a discount 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
-
View Hint View Answer Discuss in Forum
C.P. of article = ₹ 100
Let marked price of article p.∴ p × 90 = 117 100
2nd method to solve this question.
Here, r1 = 10%, Gain % = 17%, r = ?Gain % = r ×(100 − r1) − r1 100
Correct Option: D
C.P. of article = ₹ 100
Let marked price of article p.∴ p × 90 = 117 100 ⇒ p = 117 × 100 90
= ₹ 130 or 30% above the cost price.
2nd method to solve this question.
Here, r1 = 10%, Gain % = 17%, r = ?Gain % = r ×(100 − r1) − r1 100 17 = r × (100 − 10) − 10 100 27 = r × 90 100
r = 30%
- A merchant purchases a wrist watch for ₹ 450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Find the list price of the watch.
-
View Hint View Answer Discuss in Forum
Let marked price of the wrist watch be p.
∴ 90p = 450 × 120 100 100
⇒ 90p = 450 × 120∴ p = 450 × 120 = ₹ 600 90
2nd method to solve this question.
Here, r1 = 10%, profit = 20%,r = ?Gain % = r ×(100 − r1) − r1 100 20 = r × (100 − 10) − 10 100 20 = 9r − 10 10
Correct Option: C
Let marked price of the wrist watch be p
∴ 90p = 450 × 120 100 100
⇒ 90p = 450 × 120∴ p = 450 × 120 = ₹ 600 90
2nd method to solve this question.
Here, r1 = 10%, profit = 20%,r = ?Gain % = r ×(100 − r1) − r1 100 20 = r × (100 − 10) − 10 100 20 = 9r − 10 10 30 = 9r 10 r = 300 % 9 ∴ List price = 450 + 450 × 300 % 9 List price = 450 + 450 × 300 900
Required List price = 450 + 150 = ₹ 600
- Anand marks up the price of an article by 50 % and then allows a discount of 20 % and sells it to Balaji. Balaji sells it for ₹ 20 more than what he purchased for, this S.P is 30 % more than the original C.P of the article. Then Balaji’s profit % is
-
View Hint View Answer Discuss in Forum
Let us assume the cost price = ₹ p
For Anand,Marked price = ₹ 3 p 2 Selling price = 3p × 80 2 100
For Balaji,Cost price = ₹ 6p 5 Selling price = ₹ 
6p + 20 
5 ∴ 6p + 20 = p × 130 5 100
Correct Option: C
Let us assume the cost price = ₹ p
For Anand,Marked price = ₹ 3 p 2 Selling price = 3p × 80 2 100 = ₹ 6p 5
For Balaji,Cost price = ₹ 6p 5 Selling price = ₹ 6p + 20 5 ∴ 6p + 20 = p × 130 5 100 ⇒ 13p − 6p = 20 10 5 ⇒ 13p − 12p = 20 10 ⇒ p = 20 10
⇒ p = ₹ 200∴ Required gain percent = 20 ×100 6p 5 ⇒ Required gain percent = 20 × 5 × 100 6 × p ⇒ Required gain percent = 20 × 5 × 100 = 25 = 8.33% 6 × 200 3
∴ Required gain percent is 8.33% .
- The marked price of an article is ₹ 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is.
-
View Hint View Answer Discuss in Forum
Let Cost price of the article = ₹ p
∴ p × 125 = 500 × 95 100 100
2nd method to solve this question.
Here, R = 25%, D = 5%,
M.P. = ₹ 500, C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: B
Let Cost price of the article = ₹ p
∴ p × 125 = 500 × 95 100 100 ⇒ p = 500 × 95 = ₹ 380 125
2nd method to solve this question.
Here, R = 25%, D = 5%,
M.P. = ₹ 500, C.P. = ?M.P. = 100 + r C.P. 100 − D 500 = 100 + 25 C.P. 100 − 5 C.P.= 500 × 95 = ₹ 380 125
