The cost of 2 mobiles and 3 tablets is Rs. 54,000 while the cost of 1 mobile and 2 tablets is Rs. 33,000. Find the cost of 5 mobiles.

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The cost of 2 mobiles and 3 tablets is Rs. 54,000 while the cost of 1 mobile and 2 tablets is Rs. 33,000. Find the cost of 5 mobiles.

1. Rs. 35,000
2. Rs. 60,000
3. Rs. 45,000
4. Rs. 40,000

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Correct Answer - Option 3 : Rs. 45,000

Given:

The cost of 2 mobiles and 3 tablets is Rs. 54,000

The cost of 1 mobile and 2 tablets is Rs. 33,000

Calculation:

Let cost of 1 mobile be Rs. x and and cost of 1 tablet be Rs. y.

According to the question,

2x + 3y = 54,000      ----(1)

And

x + 2y = 33,000     ----(2)

By multiplying equation (2) by 2

2 × (x + 2y = 33,000)

⇒ 2x + 4y = 66,000      ----(3)

Subtracting equation (1) from equation (3),

⇒ y = 12,000

Putting the value of y in equation (1) we

⇒ x = 9,000

∴ cost of 5 mobiles is 5x = 5 × 9,000 = Rs. 45,000