Gold, Silver and Bronze invested money in the ratio of 1/2:1/3:1/4 in a business. After 4 months, Gold doubled his investment and after 6 months, Silver halves his Investment. If the total profit at the end of the year be Rs. 32800 then find the share of each in the profit

Ratio of Capital invested by Gold, Silver and Bronze = 6 : 4 : 3 Let the Capital invested by Gold, Silver and Bronze = 6x, 4x and 3x respectively Total Capital invested by Gold in 1 year = 6x × 4 + 12x × 8 = 24x + 96x = 120x Total Capital invested by Silver in 1 year = 4x × 6 + 2x × 6 = 24x + 12x = 36x Total Capital invested by Bronze in 1 year = 3x × 12 = 36x Ratio of Profits According to the question, (10x + 3x + 3x) = 32800 16x = 32800 x = 2050 Profit Share of Gold = 2050 × 10 = 20500 Profit Share of Silver = 2050 × 3 = 6150 Profit Share of Bronze = 2050 × 3 = 6150

- ‘A’ and ‘B’ invested Rs. 5000 and Rs. 4200, respectively in a business, together. After 6 months, ‘A’ withdrew 35% of his initial investment. If the total profit received by them after 1 year and 2 months is Rs.8651, then find the profit received by ‘A’.
- A, B and C enter into a partnership, A invest X + 10000, B invest 3X + 13000 and C invest X + 15000 for one year if B share is 40000 from total profit of 80000 then find investment made by A is what percent of that of C.
- Akash invested some money in a venture for a period of 5 months. After 3 months of his investing, Brijesh invested some amount such that the ratio of investment of Akash and Brijesh become 8:7. 4 months before the end of the year, Chirag came with an investment such that the ratio of Brijesh and Chirag’s investment become 5:7. Find the difference between Akash and Chirag’s profit if the total profit of the business after the end of the year is Rs. 35550.
- A and B together started a business by investing their capital in the ratio of 10:9, respectively and total amount invested by them together is Rs. 2850. After 4 months, A decreased his investment by Rs. 750 and after 4 more months, B increased his investment by Rs. 300. Find the ratio of profit received by them at the end of the year.
- A, B and C invested in a business in the ratio 6:8:9. If B invested for a period whose numerical value is 112.5% of B’s investment but A and C invested for one year. If profit of B at the end of year is Rs.16750 then what is the share of profit of C?
- A invested Rs. 3X in a business. After four months B Joined him with Rs. 3X and A double his investment. If at the end of the years total profit is Rs. 7000, then find the profit share of A?
- A and B started a business by investing sum in the ratio 4:5 respectively for 9 and 12 months respectively. If annual profit earned by B is Rs.1300, then find the total annual profit earned by A and B together.
- P, Q and R invested their money in the ratio 4 : 5 : 7 respectively. The total amount invested by them was Rs. 5,90,000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5 : 7 : 9, then what was the profit (in Rs.) received by Q?
- A & B invested Rs. X and Rs. (X + 500) for same period of time in a business. If A gets Rs. 3200 as profit share out of total profit of Rs. 8000, then find ‘X’?
- In a business, A invested Rs. 1500 more than that by B. After 10 months, A left the business. If at the end of the year, profit earned by B is equal to the profit earned by A, then find the amount invested by A in the business.

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