Discount
- The equivalent single discount for two successive discounts of 15 % and 10 % is
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As we know from the formula;
Successive discounts of D1 % and D2 % = 
D1 + D2 − D1 × D2 
% 100
Correct Option: C
As we know from the formula;
Successive discounts of D1 % and D2 % = D1 + D2 − D1 × D2 % 100 Equivalent discount = 15 + 10 − 15 × 10 % = 23.5 % 100
- The difference between a single discount of 30% on 550 and two successive discounts of 20% and 10% on the same amount is
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As we know from the given question.
Case I : A single discount of 30%
Case II : Two successive discounts of 20% and 10% Single equivalent discountEquivalent Discount D = 20 + 10 − 20 × 10 % = 28% 100
Difference = (30 – 28)% = 2%Correct Option: B
As we know from the given question.
Case I : A single discount of 30%
Case II : Two successive discounts of 20% and 10% Single equivalent discountEquivalent Discount D = 20 + 10 − 20 × 10 % = 28% 100
Difference = (30 – 28)% = 2%
∴ Required difference = 2% of 550Required difference = ₹ 2 × 550 = ₹ 11 10000
- A company offers 3 types of successive discounts : (i) 25% and 15%, (ii) 30% and 10%, (iii) 35% and 5%. Which offer is the best for a customer?
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Use the below formula to calculate the Equivalent discount.
Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100
Where D1 = Discount 1 and D2 = Discount 2Correct Option: C
Use the below formula to calculate the Equivalent discount.
Successive discounts of D1 % and D2 % is overall equals to = D1 + D2 − D1 × D2 % 100
Where D1 = Discount 1 and D2 = Discount 2
(i) : Equivalent discount= 25 + 15 − 25 × 15 % 100
= (40 – 3.75) % = 36.25%
(ii) : Equivalent discount= 30 + 10 − 30 × 10 % 100
= (40 – 3) % = 37%
(iii) : Equivalent discount= 35 + 5 − 30 × 10 % 100
= (40 – 1.75) % = 38.25%
Clearly, third offer is best for a customer.
- The difference between a discount of 40% on ₹ 500 and two successive discounts of 30% and 10% on the same amount is
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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
- 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
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After a discount of 5%
SP = 95 × 16000 = ₹ 15200 100
Let the second discount be x%
&there; D2 % of 15200 = (15200 – 11400)⇒ x × 15200 = 3800 100
Alternate method to solve this question :
Here, M.P. = 16000,
S.P. = 11400, D1 = 5%, D2 = ?S.P. = M.P. 100 − D1 100 − D2 100 100 Correct Option: D
After a discount of 5%
SP = 95 × 16000 = ₹ 15200 100
Let the second discount be x%
&there; D2 % 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, D1 = 5%, D2 = ?S.P. = M.P. 100 − D1 100 − D2 100 100 11400 = 16000 100 − 5 100 − D2 100 100 11400 = 100 − D2 16 × 95
75 = 100 − D2
D2 = 25%
