One quality of rice at Rs. 45 per kg is mixed with another quality at a certain rate in the ratio of 3 ∶ 2. If the mixture so formed is worth Rs. 50 per kg, what is the rate per kg of the second quality of rice?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)

Answer 1

Given:

Rate of the first type of rice = Rs.45/kg

Rate of the mixture of rice = Rs.50/kg

Formula used:

Average rate of product = Total price of product/quantity of product

Calculation:

Let rice of first type of rice = 3x

Rice of second type of rice = 2x

Rate of second type of rice = Rs.A/kg

According to the question:

⇒ {(45 × 3x) + (A × 2x)}/5x = 50

⇒ 135x + 2Ax = 50 × 5x

⇒ 135 + 2A = 250

⇒ 2A = 250 - 135 = 115

⇒ A = 115/2 = Rs.57.5/kg

∴ The correct answer is Rs.57.5/kg

Shortcut TrickCalculation:

F1 SSC Arbaz 6-10-23 D19

Now,

⇒ (X - 50)/(50 - 45) = 3/2

⇒ 2 × (X - 50) = 3 × 5

⇒ 2X - 100 = 15

⇒ 2X = (15 + 100)

⇒ X = 115/2 = Rs.57.5/kg

∴ The correct answer is Rs.57.5/kg