8 apples and 10 oranges weigh 5 kg. 12 apples and 20 oranges weigh 9 kg. What is the weight (in kg, rounded off to the nearest integer) of 15 apples and 24 oranges?

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 08 Jul, 2024 Shift 3)

Answer 1

Given:

8 apples + 10 oranges = 5 kg

12 apples + 20 oranges = 9 kg

Let the weight of an apple be A kg and the weight of an orange be O kg.

Formula used:

We form two equations from the given information:

We need to find the weight of 15 apples and 24 oranges.

Calculation:

First, simplify the second equation:

12A + 20O = 9 ⇒ (Divide both sides by 2)

6A + 10O = 4.5

Now, subtract the second simplified equation from the first:

(8A + 10O) - (6A + 10O) = 5 - 4.5

⇒ 2A = 0.5

⇒ A = 0.25 kg

Substitute A = 0.25 in the first equation:

8(0.25) + 10O = 5

⇒ 2 + 10O = 5

⇒ 10O = 3

⇒ O = 0.3 kg

Now, calculate the weight of 15 apples and 24 oranges:

Weight = 15A + 24O

⇒ Weight = 15(0.25) + 24(0.3)

⇒ Weight = 3.75 + 7.2

⇒ Weight = 10.95 kg

∴ The weight of 15 apples and 24 oranges is approximately 11 kg.