# Teena, Leena, and Meena invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, Teena increases her share by 50%. If the total profit at the end of one year - Mathematics and Statistics

Sum

Teena, Leena, and Meena invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, Teena increases her share by 50%. If the total profit at the end of one year is Rs.21,600, then what is Leena’s share in the profit?

#### Solution

Investment of Teena, Leena, and Meena are in the ratio 7/2 : 4/3 : 6/5.

After 4 months, Teena’s share increases by 50%.

i.e. 7/2 + (7/2 xx 50/100) = 7/2 + 7/4

i.e. 21/4

The profit will be shared in the proportion of products of capital and respective time periods in months.

i.e. 7/2 xx 4 + 21/4 xx 8 : 4/3 xx 12 : 6/5 xx 12

i.e. 56 : 16 : 72/5 i.e. 7 : 2 : 9/5

i.e. in the proportion 35 : 10 : 9  ..............[[Multiplying throughout by 5]

Given that profit at the end of one year = ₹ 21,600/-

∴ Leena’s share in the profit = 10/54 xx 21,600

= 5/27 xx 21,600 = 5 xx 800 = 4000

∴ Leena’s share in the profit is ₹ 4000/-.

Concept: Partnership
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 9 Commercial Mathematics
Exercise 9.5 | Q 4 | Page 134