Ravi started a business by investing ₹60,000. A few months later, Sameer joined him with an investment of ₹30,000. At the end of the year, profits were shared in the ratio 4:1. After how many months did Sameer join?

(a) 6 months

(b) 8 months

(c) 4 months

(d) 5 months

Question

Ravi started a business by investing ₹60,000. A few months later, Sameer joined him with an investment of ₹30,000. At the end of the year, profits were shared in the ratio 4:1. After how many months did Sameer join?

(a) 6 months

(b) 8 months

(c) 4 months

(d) 5 months

ONLiNE UPSC · Accepted Answer

Ravi: ₹60,000 &times; 12 = 720000

Let, Sameer joined after x months, then
Sameer: ₹30,000 &times; (12 - x)
Ratio = 4:1

720000 / (30000 * (12&minus;x)) = 4/1

On solving,

We get, x = 6 months

Hence option a is correct.

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