Ravi carried two types of pens with him. The ratio of cost of pen A: pen B was 10 : 4. There were two pens of type B with him and the average cost of all the three pens together was Rs.60/-. Find the cost of pen A.
Question
Ravi carried two types of pens with him. The ratio of cost of pen A: pen B was 10 : 4. There were two pens of type B with him and the average cost of all the three pens together was Rs.60/-. Find the cost of pen A.
Solution
Let's solve the problem step by step:
Step 1: Let's assume the cost of pen A as 10x and the cost of pen B as 4x, where x is a constant.
Step 2: We know that there were two pens of type B, so the total cost of pen B is 2 * 4x = 8x.
Step 3: The average cost of all three pens together is given as Rs.60. So, the total cost of all three pens is 3 * 60 = 180.
Step 4: Now, we can set up an equation to find the value of x. The equation is: 10x + 8x = 180.
Step 5: Simplifying the equation, we get 18x = 180.
Step 6: Dividing both sides of the equation by 18, we find that x = 10.
Step 7: Finally, we can find the cost of pen A by substituting the value of x back into the equation: 10 * 10 = Rs.100.
Therefore, the cost of pen A is Rs.100.
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