Question

How a profit of Rs 500 should be divided into two partners, if one of them invested Rs. 6000 for 5 months and other invested Rs 5000 for 4 monihs? (In Rs.)
2000, 3000
300 200
500, 400
1000, 5000​

Answer 1

Step-by-step explanation:

Given ,

let's first partner be x and second be y

x invested ₹6,000 for 5 months

x invested for 1 month = 6,000 / 5 = 1,200

y invested ₹ 5,000 for 4 months

y invested for 1 month = 5000/4 = 1,250

total profit = ₹500

there ratios are 1,200: 1,250

simplify ratios 1,200/ 1250

25 :24

according to the question,

25x + 24 y = 500 ( equation I)

25 x = 500 - 24y

x = 500 - 24y / 25 ( equation II)

by putting the value of x in equation I from II

25 × 500 - 24y / 25 = 500 - 24y