Two tea worth Tk. 126 per kg and Tk. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Tk. 153 per kg, then the price of third variety per kg will be:
Solution
Correct Answer: Option C
Let the price of third variety per kg be x Tk.
Given that,
(126 × 1) + (135 × 1) + (x × 2) = 153 × (1 + 1 + 2)
⇒ 126 + 135 + 2x = 153 × 4
⇒ 261 + 2x = 612
⇒ 2x = 612 - 261
⇒ 2x = 351
⇒ x = 175.5 Tk.
Given that,
(126 × 1) + (135 × 1) + (x × 2) = 153 × (1 + 1 + 2)
⇒ 126 + 135 + 2x = 153 × 4
⇒ 261 + 2x = 612
⇒ 2x = 612 - 261
⇒ 2x = 351
⇒ x = 175.5 Tk.
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