Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

Three partners invested ₹14,000 in business. At the end of the year one get ₹337.50, the second ₹1,125.00 and the thirs ₹637.50 of profit. How much amount did first partners invest ?

Options:

₹2,250

₹4,250

₹7,500

₹2,500

Correct Answer:

₹2,250

Explanation:

The correct answer is option (1) → ₹2,250

First Partner's profit = ₹337.50

Second Partner's profit = ₹1,125.00

Third Partner's profit = ₹637.50

Total profit = $337.50 + 1125.00 + 637.50 = 2100$

Let investment of 1st, 2nd and 3rd partner be x, y and z respectively.

$\frac{x}{y}=\frac{337.5}{1125},\frac{x}{z}=\frac{337.5}{637.5}$

and,

$x+y+z=₹14,000$

$x:y:z=1:3.33:1.89$

$∴x=\frac{100}{333+100+189}×14000$

$=\frac{100}{6.22}×14000$

$=₹2,250$