Correct Answer - Option 3 : 98
Given:
Subhi bought two articles for Rs.824.
He sold one at a loss of 12% and the other at a profit of 12%.
Formula used:
Profit = (SP - CP)
Profit % = (Profit/CP) × 100
Loss = (CP - SP)
Loss % = (Loss/CP) × 100
Calculation:
Let the CP of one article be Rs. x and the CP of other article be Rs. 824 - x.
SP of one article = 88x/100
SP of other article = 112(824 - x)/100
As per question,
88x/100 = 112(824 - x)/100
⇒ 88x = 112 × 824 - 112x
⇒ 200x = 112 × 824
⇒ x = 461(approx.)
Difference between CP = 2x - 824
⇒ Rs. (922 - 824)
⇒ Rs. 98
∴ the correct answer is Rs. 98