A dealer sold an article at a loss of 4%. Had he sold it for Rs 120 more, he would have gained 8%. To gain 11% he should sell the article for?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Rs. 1110.
A dealer sold an article at a loss of 4%. Had he sold it for Rs. 120 more, he would have gained 8%.
Selling Price = Cost Price - Cost Price × Loss%
Selling Price = Cost Price + Cost Price × Gain%
Let the cost price be x.
So, the selling price of the article = x - x × 4% = x - x × 0.04 = 0.96x
According to the question -
x + x × 8% = 0.96x + 120
x + x × 0.08 = 0.96x + 120
1.08x = 0.96x + 120
1.08x - 0.96x = 120
0.12x = 120
x = 120/0.12
x = 1000
Now, to gain 11% he should sell the article for = 1000 + 1000 × 11% = 1000 + 110 = Rs. 1100