Correct Answer - Option 4 : 10540
Given:
Two guitars A and B cost Rs. 11500 and Rs. 18500 respectively.
The price of another guitar C is 6000 less than what guitar B was sold for.
Guitar A was sold at a loss of 20%.
B was sold at double the price of what A was sold for.
Formula used:
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
Profit percentage = (Profit /Cost Price) × 100
Loss percentage = (Loss / Cost price) × 100
Calculation:
CP of A = Rs. 11500
SP of A = Rs. (0.8 × 11500) = Rs. 9200
SP of B = 2 × (SP of A)
⇒ Rs. (2 × 9200)
⇒ Rs. 18400
CP of C = SP of B – 6000
⇒ CP of C = Rs. (18400 – 6000) = Rs. 12400
SP of C = Rs. (0.85 × 12400)
⇒ SP of C = Rs. 10540
∴ SP of C is Rs. 10540