If two qualities of pulses ‘X’ and ‘Y’ of prices Rs. 100 and Rs. 150 per kg are mixed in the ratio 7 ∶ 20, then what is the price (in Rs.) of this mixture of pulses (correct to the nearest Rupee)?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)

Answer 1

Given:

Price of X qualities of pulses = Rs.100/kg

Price of Y qualities of pulses = Rs.150/kg

Qunatity of X type of pulses : Qunatity of Y type of pulses = 7 : 20

Formula used:

Average price = (Total price of mixture of two quality of grain)/Total quantity

Calculation:

Let quantity of X type of pulses = 7x

Quantity of X type of pulses = 20x

Average price = (Total price of mixture of two quality of grain)/Total quantity

⇒ {(100 × 7x) + (150 × 20x)}/27x

⇒ (700x + 3000x)/27x

⇒ 3700x/27x = Rs.137.03 ≈ Rs.137

∴ The correct answer is Rs.137.

Shortcut Trick F2 State G Arbaz 5-3-24 D1

\(\frac{150-m}{m-100}= \frac{7}{20}\)

⇒ 3000 - 20m = 7m - 700

⇒ 3700 = 27m

⇒ m = 3700/27

⇒ m =Rs.137.03 ≈ Rs.137

∴ The correct answer is Rs.137.