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Sita, Geeta and Monika invested Rs. 2000, Rs. 1600, and Rs. 2500 in Reliance for 12 months, 15 months and 9 months respectively. In end of business Reliance reported a profit of Rs. 7050000 which need to be distributed among Sita, Geeta and Monika. After some time, all the three investors with their obtained profit moved to another city and invested money(profit gained) in a chit fund which provided 10% annual return for Sita , 12% annual return for Geeta and 13% annual return for Monika . Find the ratio of returns after a year from the point they all invested in chit fund.

Sita, Geeta and Monika invested Rs. 2000, Rs. 1600, and Rs. 2500 in Reliance for 12 months, 15 months and 9 months respectively. In end of business Reliance reported a profit of Rs. 7050000 which need to be distributed among Sita, Geeta and Monika. After some time, all the three investors with their obtained profit moved to another city and invested money(profit gained) in a chit fund which provided 10% annual return for Sita , 12% annual return for Geeta and 13% annual return for Monika . Find the ratio of returns after a year from the point they all invested in chit fund. Correct Answer 160 : 192 : 195

Investor

investment

Duration

Investment × Duration

Sita

2000

12

24000

Geeta

1600

15

24000

Monika

2500

9

22500

 

Profit of Rs. 7050000 which need to be distributed among Sita, Geeta and Monika in ratio of = 24000 : 24000 : 22500 = 240 : 240 : 225

Profit of each investor in Rs. 7050000

⇒ Profit of Sita = 7050000 × 240/705 = 2400000

⇒ Profit of Geeta = 7050000 × 240/705 = 2400000

⇒ Profit of Monika = 7050000 × 225/705 = 2250000

Annual returns of all three investors when they invested in chit fund

10 % annual return for Sita, 12% annual return for Geeta and 13% annual return for Monika

⇒ Annual return of Sita = 10% of 2400000 = 240000

⇒ Annual return of Geeta = 12% of 2400000 = 288000

⇒ Annual return of Monika = 13% of 2250000 = 292500

∴ Required ratio = 2400 : 2880 : 2925 = 480 : 576 : 585 = 160 : 192 : 195 

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