Multiple choice

The total cost of a refrigerator with an oven was Rs. 12,000. The oven was sold at a profit of 20% and the refrigerator at a loss of 28%. If the sale price was the same in both the items, then the cost price of the cheaper item was

  1. Rs. 4500

  2. Rs. 7500

  3. Rs. 6000

  4. Rs. 5000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let C1 and C2 be the costs. 1.2*C1 = 0.72*C2. Thus C2 = (1.2/0.72)*C1 = 5/3*C1. Since C1 + C2 = 12000, C1 + 5/3*C1 = 12000, 8/3*C1 = 12000, C1 = 4500. C2 = 7500. The cheaper item is 4500.

AI explanation

Let the cost price of the oven be x and the refrigerator be y, so x plus y equals 12000. Since their selling prices are equal, 1.20x equals 0.72y, which simplifies to x equals 0.6y. Substituting this into the first equation gives 1.6y equals 12000, so y is 7500 and x is 4500. The cheaper item is the oven at Rs. 4500.

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