A person spends Rs.11,000 buying some cupboards at Rs.1,000 each and s

1.	A person spends Rs.11,000 buying some cupboards at Rs.1,000 each and some chairs at Rs. 300 each. He purchased both items. What is the ratio of the number of cupboards to that of the chairs when the maximum possible number of chairs are purchased?1. 1 ∶ 102. 1 ∶ 153. 2 ∶ 54. 3 ∶ 10
Answer» Correct Answer - Option 2 : 1 ∶ 15 Given: Total spendings = 11000 The cost price of cupboards = 1000 The cost price of Chair = 300 Calculations: Let the number of cupboards be 'x' Let the number of chairs be 'y' When the maximum possible number of chairs x < y 1000x + 300y = 11000 Let cupboards = 1 Then 11000 = 1 × 1000 + 300y Number of chairs not integer. Let cupboards = 2 then 11000 = 2 × 1000 + 300y ⇒ Number of chairs (y) = 30. So, maximum number of chair can be 30 So, 2 : 30 = 1 : 15 ∴ The required answer is 1 ∶ 15

A person spends Rs.11,000 buying some cupboards at Rs.1,000 each and some chairs at Rs. 300 each. He purchased both items. What is the ratio of the number of cupboards to that of the chairs when the maximum possible number of chairs are purchased?1. 1 ∶ 102. 1 ∶ 153. 2 ∶ 54. 3 ∶ 10

Answer» Correct Answer - Option 2 : 1 ∶ 15

Given:

Total spendings = 11000

The cost price of cupboards = 1000

The cost price of Chair = 300

Calculations:

Let the number of cupboards be 'x'

Let the number of chairs be 'y'

When the maximum possible number of chairs x < y

1000x + 300y = 11000

Let cupboards = 1

Then 11000 = 1 × 1000 + 300y

Number of chairs not integer.

Let cupboards = 2 then

11000 = 2 × 1000 + 300y

⇒ Number of chairs (y) = 30.

So, maximum number of chair can be 30

So, 2 : 30 = 1 : 15

∴ The required answer is 1 ∶ 15

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