Discount
 Two successive discounts of 20% and 20% is equivalent to a single discount of

 42%
 40%
 36%
 34%

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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 Correct Option: C
Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Equivalent single discount = 20 + 20 − 20 × 20 % = 36% 100
 Successive discounts of 10%, 20% and 30% is equivalent to a single discount of

 60%
 49.6%
 40.5%
 36%

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Single equivalent discount for successive discounts of 10% and 20%.
= 10 + 20 − 20 × 100 % = 28% 100
Single equivalent discount for 28% and 30%.
Similarly calculate by using the formula for Equivalent discount of two successive discount D1 and discount D2.Correct Option: B
Using Rule 5,
Single equivalent discount for successive discounts of 10% and 20%.= 10 + 20 − 20 × 100 % = 28% 100
Single equivalent discount for 28% and 30%.= 28 + 30 − 28 × 30 % = 49.6% 100
 The difference between a discount of 30% on ₹ 2,000 and two successive discounts of 25% and 5% on the same amount is

 ₹ 30
 ₹ 35
 ₹ 25
 ₹ 40

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Discount = 30 × 2000 = ₹ 600 100
Single equivalent discount for discounts of 25% and 5%.= 25 + 5 − 25 × 5 % 100 Correct Option: C
Discount = 30 × 2000 = ₹ 600 100
Single equivalent discount for discounts of 25% and 5%.= 25 + 5 − 25 × 5 % 100
= (30 – 1.25)% = 28.75%∴ Discount = 28.75 × 2000 = ₹ 575 100
∴ Difference = ₹ (600 − 575) = ₹ 25
 The marked price of a T.V. is ₹ 16,000. After two successive discounts it is sold for ₹ 11,400. If the first discount is 5%, then the rate of second discount is

 15%
 20%
 30%
 25%

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After a discount of 5%
SP = 95 × 16000 = ₹ 15200 100
Let the second discount be x%
&there; D_{2} % of 15200 = (15200 – 11400)⇒ x × 15200 = 3800 100
Alternate method to solve this question :
Here, M.P. = 16000,
S.P. = 11400, D_{1} = 5%, D_{2} = ?S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 Correct Option: D
After a discount of 5%
SP = 95 × 16000 = ₹ 15200 100
Let the second discount be x%
&there; D_{2} % of 15200 = (15200 – 11400)⇒ x × 15200 = 3800 100 ⇒ x = 3800 × 100 = 25 15200
∴ Second discount = 25%
Alternate method to solve this question :
Here, M.P. = 16000,
S.P. = 11400, D_{1} = 5%, D_{2} = ?S.P. = M.P. 100 − D_{1} 100 − D_{2} 100 100 11400 = 16000 100 − 5 100 − D_{2} 100 100 11400 = 100 − D_{2} 16 × 95
75 = 100 − D_{2}
D_{2} = 25%
 The difference between a discount of 40% on ₹ 500 and two successive discounts of 30% and 10% on the same amount is

 ₹ 15
 ₹ 0
 ₹ 20
 ₹ 10

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As we know the formula for Equivalent discount.
Single equivalent discount of two consecutive discount of 30% and 10%= 30 + 10 – 30 × 10 = 37% 100
∴ Required difference = 40% of 500 – 37% of 500
Correct Option: A
As we know the formula for Equivalent discount.
Single equivalent discount of two consecutive discount of 30% and 10%= 30 + 10 – 30 × 10 = 37% 100
∴ Required difference = 40% of 500 – 37% of 500
= 3% of 500= 500 × 3 = ₹ 15 100