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The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 5060. The total price of 10 chairs and 3 tables is:Question 17Answera.3000b.2655c.2625d.2265

Question

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 5060. The total price of 10 chairs and 3 tables is:Question 17Answera.3000b.2655c.2625d.2265

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Solution

Let's solve this step by step:

Step 1: Let's assume the price of one chair is 'c' and the price of one table is 't'.

Step 2: According to the problem, the price of 10 chairs is equal to that of 4 tables. So, we can write this as: 10c = 4t.

Step 3: The problem also states that the price of 15 chairs and 2 tables together is Rs. 5060. So, we can write this as: 15c + 2t = 5060.

Step 4: Now, we have two equations, and we can solve them simultaneously. From the first equation, we can express 't' in terms of 'c': t = 2.5c.

Step 5: Substitute 't' from equation 4 into equation 3: 15c + 2(2.5c) = 5060, which simplifies to 20c = 5060. Solving for 'c', we get c = 253.

Step 6: Substitute 'c' into the equation from step 4 to find 't': t = 2.5 * 253 = 632.5.

Step 7: Finally, we need to find the total price of 10 chairs and 3 tables. So, we multiply the price of one chair by 10, the price of one table by 3, and add these two amounts together: 10c + 3t = 10253 + 3632.5 = 2530 + 1897.5 = Rs. 4427.5.

So, the total price of 10 chairs and 3 tables is Rs. 4427.5. This option is not listed in the given choices.

This problem has been solved

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