Question : The cost of 3 pieces of bread and 1 packet of juice at a certain store is Rs. 323.50. At the same store, the cost of 5 pieces of bread and 1 packet of juice is Rs. 433.50. What will be the cost of 2 pieces of bread and 2 packets of juice at this store?
Option 1: Rs. 427
Option 2: Rs. 350
Option 3: Rs. 433
Option 4: Rs. 403
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Correct Answer: Rs. 427
Solution :
Let the cost of one bread be b and the cost of one packet of juice be j.
The cost of 3 breads and 1 packet of juice.
⇒ 3b + j = 323.50---(1)
The cost of 5 breads and 1 packet of juice.
⇒ 5b + j = 433.50---(2)
Subtracting the first equation from the second,
⇒ 2b = 433.50 - 323.50 = 110
⇒ b = $\frac{110}{2}$ = 55
Substituting b = 55 into the first equation,
⇒ 3 × 55 + j = 323.50
⇒ j = 323.50 - 165 = 158.50
So, the cost of one bread is Rs. 55 and the cost of one packet of juice is Rs. 158.50.
Therefore, the cost of 2 breads and 2 packets of juice is,
⇒ 2b + 2j = 2 × 55 + 2 × 158.50 = 110 + 317 = 427
Hence, the correct answer is Rs. 427.
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