A invests ₹7000 for 12 months.
B joins after 5 months ⇒ B invests for 7 months.
Profit sharing ratio = 2 : 3 (A : B)
Profit ratio ∝ Capital × Time
So,
\( 7000 \times 12 : B \times 7 = 2 : 3 \)
\( \frac{7000 \times 12}{7B} = \frac{2}{3} \)
Cross multiply:
\( 7000 \times 12 \times 3 = 2 \times 7B \)
\( 252000 = 14B \)
\( B = 18000 \)
Capital of B = ₹18000
Correct Answer: Option C (₹18000)
A বিনিয়োগ করেছে ₹7000, সময় = 12 মাস
B যোগ দেয় 5 মাস পরে ⇒ সময় = 7 মাস
লাভের অনুপাত = 2 : 3 (A : B)
লাভ ∝ মূলধন × সময়
অতএব,
\( 7000 \times 12 : B \times 7 = 2 : 3 \)
Cross multiply:
\( 7000 \times 12 \times 3 = 2 \times 7B \)
\( 252000 = 14B \)
\( B = 18000 \)
B-এর মূলধন = ₹18000
সঠিক উত্তর: Option C (₹18000)
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