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A dealer marks his goods 20% above their cost price. He then allows some discount on marked price so that he makes a profit of 10%. The rate of discount is
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10 1 % 3 -
9 1 % 3 -
8 2 % 3 -
8 1 % 3
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Correct Option: D
Let cost price of article = ₹ 100
| ∴ Marked price of article = | = ₹ 120 | |
| 100 |
S.P. of article = ₹ 110
∴ Discount = 120 – 110 = ₹ 10
∴ Let us assume that discount = p %, then
| = 10 | |
| 100 |
| ⇒ p= | = | = 8 | % | |||
| 120 | 3 | 3 |
2nd method to solve this question.
Here, r = 20%, Profit = 10%
Let, discount r1 = p%
| Profit % = | − r1 | |
| 100 |
| 10 = | − r1 | |
| 100 |
1000 = 2000 – 20p – 100p
–1000 = –120p
| p = | |
| 12 |
| p = | = 8 | % | ||
| 3 | 3 |
