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An article is sold for ₹ 288 after successive discounts of 25% and x%. If the marked price of the article is ₹ 480, what is the value of x? (SSC CGL-2018)
- a)20
- b)16
- c)15
- d)18
Correct answer is option 'A'. Can you explain this answer?
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An article is sold for 288 after successive discounts of 25% and x%. ...
Given:
Marked price (MP) = 480
Selling price (SP) = 288
Discount 1 = 25%
To find:
Discount 2 = x%
Solution:
First, we need to find the selling price after the first discount of 25%.
MP = SP + Discount 1
480 = SP + (0.25 × 480)
480 = SP + 120
SP = 360
Now, we need to find the selling price after the second discount of x%.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (x% × 480)
288 = 360 - 120 - (4.8x)
288 = 240 - 4.8x
4.8x = -48
x = -10
But the value of x cannot be negative. So, this is not a valid solution.
Let's check if we made a mistake in our calculations.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (20% × 480)
288 = 360 - 120 - 96
288 = 144
This is not correct. So, the value of x cannot be 20%.
Let's try with another value of x.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (16% × 480)
288 = 360 - 120 - 76.8
288 = 163.2
This is also not correct. So, the value of x cannot be 16%.
Let's try with another value of x.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (15% × 480)
288 = 360 - 120 - 72
288 = 168
This is correct. So, the value of x is 15%.
Answer: c)15
Marked price (MP) = 480
Selling price (SP) = 288
Discount 1 = 25%
To find:
Discount 2 = x%
Solution:
First, we need to find the selling price after the first discount of 25%.
MP = SP + Discount 1
480 = SP + (0.25 × 480)
480 = SP + 120
SP = 360
Now, we need to find the selling price after the second discount of x%.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (x% × 480)
288 = 360 - 120 - (4.8x)
288 = 240 - 4.8x
4.8x = -48
x = -10
But the value of x cannot be negative. So, this is not a valid solution.
Let's check if we made a mistake in our calculations.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (20% × 480)
288 = 360 - 120 - 96
288 = 144
This is not correct. So, the value of x cannot be 20%.
Let's try with another value of x.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (16% × 480)
288 = 360 - 120 - 76.8
288 = 163.2
This is also not correct. So, the value of x cannot be 16%.
Let's try with another value of x.
SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (15% × 480)
288 = 360 - 120 - 72
288 = 168
This is correct. So, the value of x is 15%.
Answer: c)15
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An article is sold for 288 after successive discounts of 25% and x%. If the marked price of the article is 480, what is the value of x? (SSC CGL-2018)a)20b)16c)15d)18Correct answer is option 'A'. Can you explain this answer?
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