Team coach Abhimanyu needs to buy 16 bats for the cricket team . The list below shows the prices of cricket bats at two shops.
(i) Shop A: A package of 8 cricket bats costs Rs 2560.
(ii) Shop B : A package of 4 cricket bats costs Rs 1550.
What is the amount of money he will save if he buys 16 cricket bats from shop A than shop B ?

Options

A. Rs 2000
B. Rs 1080
C. Rs 1200
D. Rs 1000

Answer

To solve the problem, we need to calculate the total cost of buying 16 cricket bats from both Shop A and Shop B, and then find out how much money Abhimanyu will save by choosing Shop A over Shop B.

### Step-by-Step Solution:

**Step 1: Calculate the cost of 16 bats from Shop A.**
- Shop A sells a package of 8 bats for Rs 2560.
- First, find the cost of one bat from Shop A:
\[ \text{Cost of 1 bat from Shop A} = \frac{2560}{8} = 320 \text{ Rs} \]
- Now, calculate the cost of 16 bats:
\[ \text{Cost of 16 bats from Shop A} = 16 \times 320 = 5120 \text{ Rs} \]

**Step 2: Calculate the cost of 16 bats from Shop B.**
- Shop B sells a package of 4 bats for Rs 1550.
- First, find the cost of one bat from Shop B:
\[ \text{Cost of 1 bat from Shop B} = \frac{1550}{4} = 387.5 \text{ Rs} \]
- Now, calculate the cost of 16 bats:
\[ \text{Cost of 16 bats from Shop B} = 16 \times 387.5 = 6200 \text{ Rs} \]

**Step 3: Calculate the amount saved by buying from Shop A instead of Shop B.**
- The amount saved is the difference between the cost from Shop B and the cost from Shop A:
\[ \text{Amount saved} = \text{Cost from Shop B} - \text{Cost from Shop A} = 6200 - 5120 = 1080 \text{ Rs} \]

### Final Answer:
Abhimanyu will save Rs 1080 if he buys 16 cricket bats from Shop A instead of Shop B.

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