Subject
Quantitative Aptitude
Topic
Simplification
The price of 2 sarees and 4 shirts is Tk. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?
The price of 2 sarees and 4 shirts is Tk. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?
ক)
Tk. 1200খ)
Tk. 2400গ)
Tk. 4800ঘ)
Cannot be determinedExplanation
Let the price of a saree and a shirt be Tk. x and Tk. y respectively. Then, 2x + 4y = 1600 .... (i) and x + 6y = 1600 .... (ii) Divide equation (i) by 2, we get the below equation. => x + 2y = 800 --- (iii) Now subtract (iii) from (ii) x + 6y = 1600 (-) x + 2y = 800 ---------------- 4y = 800 ---------------- Therefore, y = 200. Now apply value of y in (iii) => x + 2 x 200 = 800 => x + 400 = 800 Therefore x = 400 Solving (i) and (ii) we get x = 400, y = 200. So, Cost of 12 shirts = Tk. (12 x 200) = Tk. 2400.Related questions
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