Question
Aman bought two guitars, ‘P’ and ‘Q’, with cost
prices in the ratio 7:9, and sold them at a loss of 10% and a profit of 30%, respectively. If the total profit earned was Rs. 56, then find the price at which he sold guitar ‘Q’.Solution
ATQ, Let the cost price of guitar ‘P’ be Rs.7y. Cost price of guitar ‘Q’ = Rs.9y. Selling price of guitar ‘P’ = 7y × 0.90 = 6.3y Selling price of guitar ‘Q’ = 9y × 1.30 = 11.7y Total profit = 
Solve for 'y' = 2y = 56 ⇒ y = 28 Therefore, selling price of guitar ‘Q’ = 11.7 × 28 = Rs.327.6
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