Discount
 A single discount of 50% on an article costing ₹ 10000 is better than two successive discounts of 40% and 10% by

 ₹ 400
 ₹ 1000
 ₹ 500
 ₹ 600

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Single equivalent discount for 40% and 10%
= 40 + 10 − 40 × 10 % = 46% 100
Difference of percentage = 4%Correct Option: A
Single equivalent discount for 40% and 10%
= 40 + 10 − 40 × 10 % = 46% 100
Difference of percentage = 4%
∴ Savings = 4% of 10000= 10000 × 4 = ₹ 400 100
 A sofaset listed at ₹ 800 is sold to a retailer at successive discounts of 25% and 15% by the wholesaler. Then the cost price of the sofaset for retailer is

 ₹ 500
 ₹ 510
 ₹ 550
 ₹ 560

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Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Single equivalent discount = 25 + 15 − 25 × 15 100
Single equivalent discount = 40 – 3.75 = 36.25
Correct Option: B
Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Single equivalent discount = 25 + 15 − 25 × 15 100
Single equivalent discount = 40 – 3.75 = 36.25∴ C.P. for the retailer = 800 × (100 − 36.25) = ₹ 510 100
 Alex sold his goods after announcing two successive discounts of 30% each. The effective discount altogether is

 52%
 49%
 50%
 51%

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As we know the formula for two successive discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100
Correct Option: D
As we know the formula for two successive discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Single equivalent discount = 30 + 30 − 30 × 30 % = 51% 100
 In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is

 28.75%
 30%
 27.5%
 26%

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Single equivalent discount = 25 + 5 − 25 × 5 % 100
Correct Option: A
Single equivalent discount = 25 + 5 − 25 × 5 % 100
Single equivalent discount = (30 – 1.25)% = 28.75%
 Successive discounts of p% and q% on the catalogue price of an article is equivalent to a single discount of :


x − y − xy % 100 
p − q − pq % 100

p + q − pq % 100 
p + q + pq % 100


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As we know the formula for two successive discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Correct Option: C
As we know the formula for two successive discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100
Single equivalent discount= p + q − pq % 100