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The difference between a discount of 35% on Rs. 1700 and two successive discounts of 26% and 4% on the same amount is :-
- a)92.48
- b)98.68
- c)102.68
- d)104.68
Correct answer is option 'C'. Can you explain this answer?
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Difference between a discount of 35% on Rs. 1700 and two successive discounts of 26% and 4% on the same amount
To find the difference between the two scenarios, we need to calculate the final amount in each case and then find the difference between them.
Scenario 1: Discount of 35% on Rs. 1700
In this scenario, we have a discount of 35% on Rs. 1700.
Step 1: Calculate the discount amount:
Discount = 35% of Rs. 1700 = (35/100) * 1700 = Rs. 595
Step 2: Calculate the final amount after discount:
Final amount = Rs. 1700 - Rs. 595 = Rs. 1105
Scenario 2: Successive discounts of 26% and 4% on the same amount
In this scenario, we have two successive discounts of 26% and 4% on the same amount.
Step 1: Calculate the first discount amount:
Discount 1 = 26% of Rs. 1700 = (26/100) * 1700 = Rs. 442
Step 2: Calculate the amount after the first discount:
Amount after first discount = Rs. 1700 - Rs. 442 = Rs. 1258
Step 3: Calculate the second discount amount:
Discount 2 = 4% of Rs. 1258 = (4/100) * 1258 = Rs. 50.32
Step 4: Calculate the final amount after both discounts:
Final amount = Rs. 1258 - Rs. 50.32 = Rs. 1207.68
Calculating the difference
To find the difference between the two scenarios, we subtract the final amount in scenario 1 from the final amount in scenario 2.
Difference = Final amount in scenario 2 - Final amount in scenario 1
Difference = Rs. 1207.68 - Rs. 1105 = Rs. 102.68
Therefore, the difference between a discount of 35% on Rs. 1700 and two successive discounts of 26% and 4% on the same amount is Rs. 102.68.
Hence, the correct answer is option C) 102.68.
To find the difference between the two scenarios, we need to calculate the final amount in each case and then find the difference between them.
Scenario 1: Discount of 35% on Rs. 1700
In this scenario, we have a discount of 35% on Rs. 1700.
Step 1: Calculate the discount amount:
Discount = 35% of Rs. 1700 = (35/100) * 1700 = Rs. 595
Step 2: Calculate the final amount after discount:
Final amount = Rs. 1700 - Rs. 595 = Rs. 1105
Scenario 2: Successive discounts of 26% and 4% on the same amount
In this scenario, we have two successive discounts of 26% and 4% on the same amount.
Step 1: Calculate the first discount amount:
Discount 1 = 26% of Rs. 1700 = (26/100) * 1700 = Rs. 442
Step 2: Calculate the amount after the first discount:
Amount after first discount = Rs. 1700 - Rs. 442 = Rs. 1258
Step 3: Calculate the second discount amount:
Discount 2 = 4% of Rs. 1258 = (4/100) * 1258 = Rs. 50.32
Step 4: Calculate the final amount after both discounts:
Final amount = Rs. 1258 - Rs. 50.32 = Rs. 1207.68
Calculating the difference
To find the difference between the two scenarios, we subtract the final amount in scenario 1 from the final amount in scenario 2.
Difference = Final amount in scenario 2 - Final amount in scenario 1
Difference = Rs. 1207.68 - Rs. 1105 = Rs. 102.68
Therefore, the difference between a discount of 35% on Rs. 1700 and two successive discounts of 26% and 4% on the same amount is Rs. 102.68.
Hence, the correct answer is option C) 102.68.
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The difference between a discount of 35% on Rs. 1700 and two successive discounts of 26% and 4% on the same amount is :-a)92.48b)98.68c)102.68d)104.68Correct answer is option 'C'. Can you explain this answer?
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