Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Mixture and Alligation

Question:

A person bought 10 cows and 05 horses in Rs. 10,000. If he sells each horse at 15% profit and each cow at 10% loss, he gains a profit of Rs. 375. Find the cost price of each horse and cow.

Options:

Rs.4500, Rs.5500

Rs.400, Rs.750

Rs.1100, Rs.450

Rs.450, Rs.1100

Correct Answer:

Rs.1100, Rs.450

Explanation:

Let the cost of 05 horses =x

Cost of 10 cows = (10000 - x)

ATQ,

[x × 15%] - [(10000 - x) × 10%] = 375

[x × \(\frac{15}{100}\)] - [(10000 - x) × \(\frac{10}{100}\)] = 375

15 x - 100000 + 10 x = 375 × 100

                          25 x = 137500

                               x = 5500

Cost of 05 horses = x = 5500

Cost of 01 horse = \(\frac{5500}{5}\) = 1100

Cost of 10 cows = 10000 - x = 10000 - 5500

Cost of 01 cow = \(\frac{4500}{10}\) = 450