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Ram Naresh got two successive discounts, a bag with a list price of Rs. 400 is available at Rs. 160. If the second discount is 20%, find the first discount.
- a)40%
- b)30%
- c)50%
- d)80%
Correct answer is option 'C'. Can you explain this answer?
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Ram Naresh got two successive discounts, a bag with a list price of R...
Let the first discount be x%
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First a discount of 20% means that you multiply the price by .80(1−0.20) The initial price is therefore first multiplied by x, then by 0.80, and the result is 160 . 400×x×0.80=160
Multiply by 0.5 means reduce by 50%
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Ram Naresh got two successive discounts, a bag with a list price of R...
First Discount Calculation:
To find the first discount, we need to work backward from the final price. The bag's list price is Rs. 400, and it is available at Rs. 160 after two successive discounts.
Let x be the first discount percentage.
So, the selling price after the first discount = Rs. 400 - x% of Rs. 400
= Rs. 400 - 400x/100
= Rs. 400(1 - x/100)
Now, the selling price after the second discount (20%) = 80% of the selling price after the first discount
= 80/100 * Rs. 400(1 - x/100)
= Rs. 320(1 - x/100)
Given that this final selling price is Rs. 160, we can set up the equation:
Rs. 320(1 - x/100) = Rs. 160
Solving for x, we get x = 50%
Therefore, the first discount percentage is 50%.
So, the correct answer is option C) 50%.
To find the first discount, we need to work backward from the final price. The bag's list price is Rs. 400, and it is available at Rs. 160 after two successive discounts.
Let x be the first discount percentage.
So, the selling price after the first discount = Rs. 400 - x% of Rs. 400
= Rs. 400 - 400x/100
= Rs. 400(1 - x/100)
Now, the selling price after the second discount (20%) = 80% of the selling price after the first discount
= 80/100 * Rs. 400(1 - x/100)
= Rs. 320(1 - x/100)
Given that this final selling price is Rs. 160, we can set up the equation:
Rs. 320(1 - x/100) = Rs. 160
Solving for x, we get x = 50%
Therefore, the first discount percentage is 50%.
So, the correct answer is option C) 50%.
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Ram Naresh got two successive discounts, a bag with a list price of Rs. 400 is available at Rs. 160. If the second discount is 20%, find the first discount.a)40%b)30%c)50%d)80%Correct answer is option 'C'. Can you explain this answer?
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