Megha, Isha and Rani entered into a partnership by investing Rs 20,000, Rs X, and Rs 22,000 respectively for 6 months, 8 months and 10 months respectively. If Isha earns a profit of Rs 16500 out of a total profit of Rs 44,550, find the total investment done by all three

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Solution

Ratio of investment of Megha : Isha : Rani is,
$\Rightarrow 20000 \times 6 : X \times 8 : 22000 \times 10$
$\Rightarrow 15000 : X : 27500$

Total profit earned is $44550$ Rs.
Thus as per given condition,
$\Rightarrow \frac{X}{15000 + X + 27500} \times 44550 = 16500$
$\Rightarrow \frac{X}{X + 42500} \times 27 = 10$
$\Rightarrow 27 X = 10 X + 425000$
$\Rightarrow X = 25000$ Rs.
So total investment $= 20000 + 25000 + 22000 = 67, 000$ Rs.

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Megha, Isha and Rani entered into a partnership by investing Rs 20,000, Rs X, and Rs 22,000 respectively for 6 months, 8 months and 10 months respectively. If Isha earns a profit of Rs 16500 out of a total profit of Rs 44,550, find the total investment done by all three

Ratio of investment of Megha : Isha : Rani is,⇒20000×6:X×8:22000×10⇒15000:X:27500Total profit earned is 44550 Rs.Thus as per given condition,⇒X15000+X+27500×44550=16500⇒XX+42500×27=10⇒27X=10X+425000⇒X=25000 Rs.So total investment =20000+25000+22000=67,000 Rs.