Correct Answer - Option 2 : Rs. 360.95
Given:
C.P. for trader = Rs. 2300
Trader to P = 10% loss
P to Q = 12.5% profit
Q = Increases price by 5%
Q to R = 10%
Formula:
Profit% = (S.P. – C.P. / C.P.) × 100
Loss % = (C.P. – S.P. / S.P.) × 100
S.P. = C.P. (1 + (profit%/ 100))
S.P. = C.P. (1 - (loss%/ 100))
Calculation:
Selling price for trader = 2300 (1 – 0.10)
⇒ Selling price for trader = 2300 × 0.90
⇒ Selling price for trader = cost price for P = Rs. 2070
⇒ Selling price for P = 2070 × (1 + 0.125)
⇒ Selling price for P = 2070 × 9/ 8
⇒ Selling price for P = 2328.75
S.P. for P = C.P. for Q
Now, Q increases price by 5%
⇒ Increased price = 2328.75 × 1.05
⇒ Increased price = Rs. 2445.19
⇒ S.P. for Q = 2445.19 × (1.10)
⇒ S.P. for Q = 2689.70
Required difference = 2689.70 – 2328.75
∴ required difference is Rs. 360.95