R. S. Aggarwal Solutions for Chapter: Partnership, Exercise 1: EXERCISE 13A

$\mathrm{A}$ and $\mathrm{B}$ started a business with initial investments in the ratio $12: 11$ and their annual profits were in the ratio $4: 1.$ If $\mathrm{A}$ invested the money for $11$ months, for how many months $\mathrm{B}\text{'}\mathrm{s}$ money was invested ?

$\mathrm{A}$ began a business with $\mathrm{Rs}4500$ and was joined afterwards by $\mathrm{B}$ with $\mathrm{Rs}5400.$ If the profits at the end of the year were divided in the ratio $2: 1,$ after how many months did $\mathrm{B}$ join ?

$\mathrm{A}, \mathrm{B}$ started a business in partnership by investing in the ratio $4: 5.$ After $3$ months $\mathrm{A}$ withdrew $\frac{1}{4}$ of his capital and $\mathrm{B}$ withdrew $\frac{1}{5}$ of his capital. After $10$ months, they had a gain of $\mathrm{Rs}7600.$ What is $\mathrm{A}\text{'}\mathrm{s}$ share in it ?

The profits of three partners are in the ratio $5: 7: 8.$ If they invested their money for-$14$ months, $8$ months and $7$ months respectively, then what is the ratio of their capitals ?

$\mathrm{A}, \mathrm{B}$jointly started a business. $\mathrm{A}$ invested $\mathrm{Rs}3600$ for $8$ months and $\mathrm{B}$ invested some money for $6$ months. At the end, $\mathrm{B}$ received $\frac{15}{31}$ of total gain. How much money did $\mathrm{B}$ invest?

 $\mathrm{A}, \mathrm{B}$ started a business by investing in the ratio $6: 5.$ After $7$ months, A withdraws whole of his capital and $\mathrm{B}$ withdraws half of his capital. If the profits at the end be divided in the ratio $4: 5,$ for how many months did $\mathrm{B}$ invest his money ?

$\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ started a business in partnership by investing in the ratio $5: 6: 8.$ After one year $\mathrm{C}$ withdrew $50\%$ of his capital and $\mathrm{A}$ invested more money equivalent to $60\%$ of his already invested apital. In what ratio the profit will be distributed among $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ at the end of $2$ years ?

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are partners in a business. Initially,$\mathrm{A}$ invested some amount. After $6$ months, $\mathrm{B}$ invested double of this amount and after $8$ months $\mathrm{C}$ invested three times this amount. At the end of the year, there was an overall gain of $\mathrm{Rs}27000.$  What is $\mathrm{C}\text{'}\mathrm{s}$ share of profit?