Question

Saritaben, ayesha and meena started a business by investing 2400 rupees,5200 and 3400 respectively. They made a profit of 50% How should they share it ? If they renivest all their profit by adding to the capital find out the proportion of their shares in capital during the following year​

Answer 1

Solution:

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

Totαl profit = 50% of 11000 =  $\sf \dfrac{50}{100}$ × 11000 = Rs 5500

Proportion of shαres = $\sf 24\cancel 0 \cancel 0 : 52\cancel 0\cancel 0 : 34 \cancel 0 \cancel 0 = \cancel{ 24} : \cancel{52} : \cancel{34} = 12:26:17$

Let the profit of Saritαben, Ayeshα and Meenαkshi be Rs 12x, Rs 26x αnd Rs 17x respectively.

12x + 26x + 17x = 5500

∴ 55x = 5500

∴ x = 100

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

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

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

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

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

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

∴ New proportion of shαres = $\sf 36\cancel 0 \cancel 0 : 78\cancel 0 \cancel 0 : 51\cancel 0 \cancel 0 = \cancel{36}:\cancel{78}:\cancel{51}= 12 : 26 : 17$

∴ The proportion of the shαres in the cαpitαl during the following yeαr is 12:26:17.

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