Question
Download Solution PDFRini has mixed two colours 'C1' and 'C2' in the ratio 2 ∶ 3. If the rate of the colour 'C1' is ₹500 per unit and she is selling the mixture of the two colours at ₹650 per unit at breakeven price, then what is the rate (in ₹) per unit of the second colour, that is, ' C2'?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFDetailed solution:-
Rini mixed 'C1' and 'C2' in the ratio 2:3.
Let's assume that the cost per unit of 'C2' is Rs. ''.
Cost of 2 units of 'C1' = 2 × Rs. 500 = Rs. 1000
Cost of 3 units of 'C2' = 3 × Rs. x = 3x
According to the question,
Rini is selling the mixture at the break-even price of Rs. 650 per unit.
Total cost = Rs. 1000 + 3x ...... (1)
Total cost = (Selling price per unit ) × (Number of units sold Total cost)
⇒ Rs. 650 × 5 ....(2)
(since the ratio is 2:3, so the total number of units is 2 + 3 = 5)
Now, we can set up the equation
⇒ 1000 + 3x = 650 × 5
⇒ 3x = 3250 - 1000
⇒ x = 2250 / 3 = Rs. 750
∴ The rate per unit of the second color, 'C2', is Rs. 750.
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