Question

Rajveer mixed two types of pulses in a ratio of 3 ∶ 4.He sold the mixed pulse at the rate of 115 per kg and earned profit of 15%.If the price of first type of pulse is Rs 110 per kg then find the price of second type of pulse. 

1. 90
2. 92.5
3. 86.5
4. 85
5. 90.5

Answer 1

Correct Answer - Option 2 : 92.5

Given

Ratio in which pluses were mixed = 3 ∶ 4

Selling price of the mixture = Rs 115 per Kg

Profit earned = 15%

Formula used

Quantity of cheaper/Quantity of dearer = (cost price of dearer – mean price) / (mean Price - cost price of dearer)

Calculation

Cost price of the mixture = 115 × 100 /115 = Rs 100 per kg

Let cost price of second type of Pulses = Rs x per kg

Applying the rule of allegation

⇒ (100 – x) ∶ (110 – 100) = 3 ∶ 4

⇒ (100 – x) ∶ 10 = 3 ∶ 4

⇒ 4x = 400 – 30

⇒ x = 370/4

⇒ x = Rs 92.5 per kg

∴ Cost price of second type of Pulse is Rs 92.5 per kg.