In a business partnership among A, B, C and D, the profit is shared as follows:

\( \frac{A}{B} = \frac{B}{C} = \frac{C}{D} = \frac{1}{3} \)

If the total profit is ₹400000, the share of C is:
একটি ব্যবসায় A, B, C এবং D এর মধ্যে লাভ নিম্নরূপ ভাগ করা হয়:

\( \frac{A}{B} = \frac{B}{C} = \frac{C}{D} = \frac{1}{3} \)

মোট লাভ ₹400000 হলে, C এর অংশ কত?

Practice MCQ for SSC, UPSC, RRB Exams

A. ₹112500 A. ₹112500
B. ₹137500 B. ₹137500
C. ₹90000 C. ₹90000
D. ₹270000 D. ₹270000

Correct Answer: C সঠিক উত্তর: C

Explanation ব্যাখ্যা

Given:
\( \frac{A}{B} = \frac{B}{C} = \frac{C}{D} = \frac{1}{3} \)

So,
\( A : B = 1 : 3 \)
\( B : C = 1 : 3 \)
\( C : D = 1 : 3 \)

From \( A : B = 1 : 3 \) ⇒ Let A = 1, B = 3
From \( B : C = 1 : 3 \) ⇒ C = 9
From \( C : D = 1 : 3 \) ⇒ D = 27

Thus,
\( A : B : C : D = 1 : 3 : 9 : 27 \)

Total ratio = \( 1 + 3 + 9 + 27 = 40 \)

C's share ratio = 9

Total profit = ₹400000

C’s share:
₹\( \frac{9}{40} \times 400000 = 90000 \)

C’s share = ₹90000

দেওয়া আছে:
\( \frac{A}{B} = \frac{B}{C} = \frac{C}{D} = \frac{1}{3} \)

অতএব,
\( A : B = 1 : 3 \)
\( B : C = 1 : 3 \)
\( C : D = 1 : 3 \)

\( A : B = 1 : 3 \) ⇒ ধরি A = 1, B = 3
\( B : C = 1 : 3 \) ⇒ C = 9
\( C : D = 1 : 3 \) ⇒ D = 27

তাহলে,
\( A : B : C : D = 1 : 3 : 9 : 27 \)

মোট অনুপাত = \( 1 + 3 + 9 + 27 = 40 \)

C এর অনুপাত = 9

মোট লাভ = ₹400000

C এর অংশ:
₹\( \frac{9}{40} \times 400000 = 90000 \)

C এর অংশ = ₹90000

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