Correct Answer - Option 2 : 4
Calculation:
CP of desktop = Rs. 25,000
SP of desktop = Rs. (25000 + 3500) = Rs. 28500
MP of desktop = 5p% of 25,000 + 25,000 = (25,000 + 1250p)
Now, the selling price of desktop = (100 – 5p/4)% of (25,000 + 1250p)
⇒ (400 – 5p)/4 × (250 + 12.50p)
According to question –
⇒ (400 – 5p)/4 × (250 + 12.5p) = 28500
From Options –
(i) p = 5
⇒ (400 – 25)/4 × (250 + 12.5 × 5)
⇒ 375/4 × 312.5
⇒ 29296.875 ≠ 28500
(ii) p = 4
⇒ (400 – 20)/4 × (250 + 12.5 × 4)
⇒ 380/4 × (250 + 50)
⇒ 95 × 300
⇒ 2850 = 2850
∴ The value of p is 4.