Discount
- After allowing a discount of 10% on marked price a trader makes a profit of 15%. The ratio of the marked price to the cost price is
-
View Hint View Answer Discuss in Forum
Marked price = Rs. x and cost price = Rs. y (let)
According to question,x × 90 = y × 115 100 100 ⇒ x = 115 = 23 = 23 : 18 y 90 18 Correct Option: C
Marked price = Rs. x and cost price = Rs. y (let)
According to question,x × 90 = y × 115 100 100 ⇒ x = 115 = 23 = 23 : 18 y 90 18
- Mr. x and Mr. y each bought the same motorcycle using a 10% off coupon. Mr. x’s cashier took 10% off the price and then added 8.5% sales tax whereas Mr. y’s cashier first added the sales tax and then took 10% off the total price. The amount Mr. x paid is
-
View Hint View Answer Discuss in Forum
Price of motor cycle = Rs. α
(let)
For Mr. xC.P. of motor cycle = Rs. 
90α × 108.5 
100 100
For Mr yC.P. of motor cycle = Rs. 108.5α × 90 100 100 Correct Option: B
Price of motor cycle = Rs. α
(let)
For Mr. xC.P. of motor cycle = Rs. 90α × 108.5 100 100
For Mr yC.P. of motor cycle = Rs. 108.5α × 90 100 100
- The price of an antique is reduced by 20% and then this price is again reduced by 10%. The total reduction of the price is
-
View Hint View Answer Discuss in Forum
Percentage decrease = x + y + xy % 100 = − 20 − 10 + 20 × 10 % = −28% 100
Second Method :
Here, D1 = 20%
D2 = 10%Net reduction
=D1 + D2 − D1D2 % 100 = 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%Correct Option: D
Percentage decrease = x + y + xy % 100 = − 20 − 10 + 20 × 10 % = −28% 100
Second Method :
Here, D1 = 20%
D2 = 10%Net reduction
=D1 + D2 − D1D2 % 100 = 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%
- A builder purchases 25 windows at 25% off the total price of ₹ 1,20,000. If the builder receives an additional discount of ₹ 7500 for the purchase, then the cost of each window is
-
View Hint View Answer Discuss in Forum
C.P. of 25 windows = 120000 × 75 = Rs. 90,000 100
After additional discount,
C.P. for builder
= Rs. (90000 – 7500)
= Rs. 82500∴ Cost of each window = 82500 = Rs. 3300 25 Correct Option: A
C.P. of 25 windows = 120000 × 75 = Rs. 90,000 100
After additional discount,
C.P. for builder
= Rs. (90000 – 7500)
= Rs. 82500∴ Cost of each window = 82500 = Rs. 3300 25
- A retailer purchases a grinder at a discount of 15% and sells it for ₹ 1955 at a profit of 15%. The amount of discount received by the retailer from the wholesaler was
-
View Hint View Answer Discuss in Forum
Let the marked price of the grinder be ₹ 100
SP after a discount of 15% = ₹ 85SP to gain 15% = 85 × 115 = ₹ 97.75 100
If ₹ 97.75 is the SP, the marked price = ₹ 100
∴ If ₹ 1955 is the SP,the marked price = 100 = × 1955 = ₹ 2000 97.5
Amount of discount received by the retailer = 15% of 2000= 2000 × 15 = ₹ 300 100 Correct Option: C
Let the marked price of the grinder be ₹ 100
SP after a discount of 15% = ₹ 85SP to gain 15% = 85 × 115 = ₹ 97.75 100
If ₹ 97.75 is the SP, the marked price = ₹ 100
∴ If ₹ 1955 is the SP,the marked price = 100 = × 1955 = ₹ 2000 97.5
Amount of discount received by the retailer = 15% of 2000= 2000 × 15 = ₹ 300 100
