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If selling price of an article is reduced by 60%, then there is a loss of 10% on cost price. The initial profit percent was
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- 70%
- 80%
- 100%
- 125%
Correct Option: D
If cost price be p and selling price be q, then
| Profit % = |  | q - p |  | × 100 | ||
| p |
| Profit % = | | q | - 1 | | × 100 | |
| p |
| Selling price = | 5 |
| Loss = | | p - | 2q | | ||
| 5 |
| ∴ 10 = | × 100 | p |
⇒ 10p – 4q = p
⇒ 9p = 4q
| ⇒ | = | p | 4 |
| ∴ Initial profit percent = | | 9 | - 1 | | × 100 = 125% | |
| 4 |
Second Method to solve this question :
Shorter way is to go through options
From the given alternatives (4),
Gain = 125%
If C.P. = $ 100 then
original S.P. = $ 225
New S.P. = $ 90
Loss% = 10
