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The sum of cost price of two articles A and B is Rs. 350. Both articles marked up 60% above cost price. If marked price of article B is Rs. 64 more than that of A, then find the cost price (in Rs.) of article A?

Question

The sum of cost price of two articles A and B is Rs. 350. Both articles marked up 60% above cost price. If marked price of article B is Rs. 64 more than that of A, then find the cost price (in Rs.) of article A?

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Solution

Let's solve the problem step by step:

Step 1: Let's assume the cost price of article A as x. Step 2: Since both articles are marked up 60% above the cost price, the marked price of article A will be (x + 0.6x) = 1.6x. Step 3: The marked price of article B is Rs. 64 more than that of A, so the marked price of article B will be (1.6x + 64). Step 4: The sum of the cost price of both articles is Rs. 350, so we can write the equation as: x + (1.6x + 64) = 350 Step 5: Simplifying the equation, we get: 2.6x + 64 = 350 Step 6: Subtracting 64 from both sides of the equation, we get: 2.6x = 286 Step 7: Dividing both sides of the equation by 2.6, we get: x = 110

Therefore, the cost price of article A is Rs. 110.

This problem has been solved

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