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The marked price of an item is twice the cost price. For a gain of 15%, the discount should be
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- 7.5%
- 20.5%
- 32.5%
- 42.5%
Correct Option: D
C.P. of item = 100 (let)
∴ Marked price of item = ₹ 200
S.P. for a gain of 15% = ₹ 115
∴ Discount = 200 – 115 = ₹ 85
If discount percent be x%, then
= 85 | |
100 |
⇒ 2x = 85 ⇒ x = | = 42.5% | |
2 |
Second method :
Let, C.P. = ₹ x,
M.P. = ₹ 2x, r = 15%
= | ||
C.P. | 100 − D |
= | ||
x | 100 − D |
200 – 2D = 115
2D = 85
D = 42.5%