Question

Saritaben, Ayesha and Meenakshi started a business by investing Rs 2400, Rs 5200 and Rs 3400. They made a profit of 50%. If they reinvested all their profit by adding it to the capital, find out the proportions of their shares in the capital during the following year.

Answer 1

Total investment = Rs 2400 + Rs 5200 + Rs 3400 = Rs 11000 

Total profit = 50% of 11000 

= 50/100 × 11000 = Rs 5500

Proportion of shares = 2400 : 5200 : 3400 

= 12 : 26 : 17 …. (Dividingby 200) 

Let the profit of Saritaben, Ayesha and Meenakshi be Rs 12x, Rs 26x and Rs 17x respectively. 

12x + 26x + 17x = 5500 

∴ 55x = 5500 

∴ x = 100

∴ Saritaben’s profit = 12x = 12 × 100 = Rs 1200 

Ayesha’s profit = 26x = 26 × 100 = Rs 2600 

Meenakshi’s profit = 17x = 17 × 100 = Rs 1700 

∴ Saritaben’s new investment = 2400 + 1200 = Rs 3600 

Ayesha’s new investment = 5200 + 2600 = Rs 7800 

Meenakshi’s new investment = 3400 + 1700 = Rs 5100 

∴ New proportion of shares = 3600 : 7800 : 5100 

= 12 : 26 : 17 …. (Dividing by 300) 

∴ The proportion of the shares in the capital during the following year is 12 : 26 :17