Discount
 The list price of a book is Rs. 100. A dealer sells three such books for Rs. 274.50 after allowing discount at a certain rate. Find the rate of discount.

 8.16%
 8.5%
 8.34%
 8.33%

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Total marked price of three books = Rs. 300
Their S.P. = Rs. 244.50
Discount = Rs. (300 – 274.50) = Rs. 25.50
If the rate of discount be x%, then300 × x = 25.50 100
⇒ 300x = 25.50 × 100⇒ x = 25.50 × 100 = 8.5% 300
Second Method :
M.P. = Rs. 300 (for three books)
S.P. = Rs. 274.50= M.P. − S.P. ×100% M.P. = 300 − 274.50 ×100% 300 25.50 × 100 = 8.5% 300 Correct Option: B
Total marked price of three books = Rs. 300
Their S.P. = Rs. 244.50
Discount = Rs. (300 – 274.50) = Rs. 25.50
If the rate of discount be x%, then300 × x = 25.50 100
⇒ 300x = 25.50 × 100⇒ x = 25.50 × 100 = 8.5% 300
Second Method :
M.P. = Rs. 300 (for three books)
S.P. = Rs. 274.50= M.P. − S.P. ×100% M.P. = 300 − 274.50 ×100% 300 25.50 × 100 = 8.5% 300
 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

 ₹ 3300
 ₹ 3100
 ₹ 3400
 ₹ 3200

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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
 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

 25 %
 30 %
 23 %
 28 %

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Percentage decrease = x + y + xy % 100 = − 20 − 10 + 20 × 10 % = −28% 100
Second Method :
Here, D_{1} = 20%
D_{2} = 10%Net reduction
=D_{1} + D_{2} − D_{1}D_{2} % 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, D_{1} = 20%
D_{2} = 10%Net reduction
=D_{1} + D_{2} − D_{1}D_{2} % 100 = 20 + 10 − 20 × 10 % 100
= (30 – 2)% = 28%
 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

 less by ₹ 550 as the amount Mr. y paid
 same as the amount Mr. y paid
 greater by ₹ 85 as the amount Mr. y paid
 greater by ₹ 850 as the amount Mr. y paid

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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
 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

 23 : 9
 23 : 10
 23 : 18
 23 : 19

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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