Rajesh started a business by investing ₹1,00,000. After 5 months, Suresh joined with ₹1,50,000. At the end of 7 months from the start, Tushar joined with ₹2,00,000. If the total profit is ₹1,50,000 at the end of the year, find the share of Tushar(approximate) .

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**1.** Compute time-weighted investments:

- Rajesh: $100000\times12=1200000$
- Suresh: joined after 5 months so 7 months: $150000\times7=1050000$
- Tushar: joined after 7 months so 5 months: $200000\times5=1000000$

**2.** Total ratio: $1200000:1050000:1000000$, sum $3250000$.

**3.** Tushar's share = $\dfrac{1000000}{3250000}\times150000=46153.846\dots\approx ₹46,154$.

**4.** So Tushar gets **₹46,154** (option **b**).

FINAL_ANSWER: b

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