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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. Find the selling price of C if it was sold at a 15% loss. 

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. Find the selling price of C if it was sold at a 15% loss.  Correct Answer 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

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