Correct Answer - Option 3 : 900
Given:
The ratio of CP of A and SP of B is 21 : 20.
The ratio of CP of B and SP of A is 14 : 15.
Total SP of both items is Rs. 100 more than the total CP.
On selling B. Loss of Rs. 800 was incurred.
Formula used:
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
Profit percentage = (Profit /Cost Price) x 100
Loss percentage = (Loss / Cost price) x 100
Calculation:
Let the CP of A = 21x
SP of B = 20x
Let CP of B = 14y
SP of A = 15y
15y + 20x = 100 + 21x + 14y
⇒ Y = 100 + x ----(i)
14y – 20x = 800
⇒ 14(100 + x) – 20x = 800 [From (i)]
⇒ 1400 + 14x - 20x = 800
⇒ - 6x = - 600
⇒ x = 100
From equation (i),
y = 100 + x
⇒ y = 100 + 100
⇒ y = 200
CP of A = Rs. (21 × 100) = Rs. 2100
SP of A = Rs. (15 × 200) = Rs. 3000
Gain on selling A = Rs. (3000 - 2100) = Rs. 900
∴ gain on selling A is Rs. 900
