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An article of cost price ₹ 8,000 is marked at ₹ 11,200. After allowing a discount of x% a profit of 12% is made. The value of x is
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- 21%
- 20%
- 22%
- 23%
Correct Option: B
Here , cost price of article = ₹ 8,000 and marked price = ₹ 11,200
| S.P. for a profit of 12% = | = ₹ 8960 | |
| 100 |
∴ Discount = marked price - S.P.
∴ Discount = 11200 – 8960 =₹ 2240
If the discount percent be x, then
| = 2240 | |
| 100 |
| x = | = 20% | |
| 11200 |
Second method :
Here, M.P. = ₹ 11200 , C.P. = ₹ 8000 , r = 12% , D = x%
Using the given formula ,
| = | ||
| C.P. | 100 − D |
| = | ||
| 8000 | 100 − x |
| = | = | ||
| 8000 | 100 − x |
⇒ 100 – x = 80
⇒ x = 20%
