राशि का अनुपात में बंटवारा | Distribution of Amount in Ratio Explanation

Qestion:- 23,808रु की धनराशी A, B, C और D के बिच इस परके बांटी जाती है कि A और B के हिस्सों का अनुपात 8:9, B और C के हिस्सों का अनुपात 3:5 तथा C और D हिस्सों का अनुपात 1:2 है। B के हिस्से में कितनी धनराशी आएगी?

A sum of ₹23,808 is divided among A, B, C, and D such that the ratio of A and B shares is 8:9, the ratio of B ​​and C shares is 3:5, and the ratio of C and D shares is 1:2. How much money will B receive?

Is question mein humein ₹23,808 ki total dhanrashi ko A, B, C aur D ke beech diye gaye ratios ke according divide karna hai, aur specifically B ke hisse ki amount nikalni hai. Chaliye isse step-by-step, simple Hinglish mein detail ke saath samajhte hain.

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🔹 Diya Gaya Data (Given Information)

• Total Amount = ₹23,808

• A : B = 8 : 9

• B : C = 3 : 5

• C : D = 1 : 2

Humein find karna hai:

👉 B ke hisse mein kitni dhanrashi aayegi?

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🔹 Step 1: Sab ratios ko ek common chain mein lao

Sabse pehle hum given ratios ko chain form mein likhenge:

• A : B = 8 : 9

• B : C = 3 : 5

• C : D = 1 : 2

Problem yeh hai ki B aur C ke ratios alag-alag numbers mein hain, isliye humein inhe equal base par lana padega.

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🔹 Step 2: B ko equal banao

A : B = 8 : 9

B : C = 3 : 5

Yahan B ke values 9 aur 3 hain.

👉 Inka LCM = 9

Toh B : C wale ratio ko 3 se multiply kar dete hain:

• B : C = 9 : 15

Ab updated ratios:

• A : B = 8 : 9

• B : C = 9 : 15

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🔹 Step 3: C ko equal banao

Ab C : D = 1 : 2

Yahan C = 1 hai, lekin upar C = 15 hai.

👉 Isliye C : D ko 15 se multiply kar dete hain:

• C : D = 15 : 30

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🔹 Step 4: Final combined ratio likho

Ab sab ratios ek chain mein aa gaye:

• A = 8

• B = 9

• C = 15

• D = 30

👉 Final Ratio:

$$A : B : C : D = 8 : 9 : 15 : 30$$

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🔹 Step 5: Total ratio units nikaalo

$$8 + 9 + 15 + 30 = 62$$

👉 Total ratio units = 62

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🔹 Step 6: One unit ki value nikaalo

Total amount = ₹23,808

$$\text{1 unit} = \frac{23,808}{62} = 384$$

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🔹 Step 7: B ke hisse ki amount nikaalo

B ka ratio = 9 units

$$\text{B ka hissa} = 9 \times 384 = 3,456$$

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✅ Final Answer (अंतिम उत्तर)

👉 B ke hisse mein ₹3,456 aayenge.

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🔹 Concept Clear Karne Ke Liye (Important Tip)

Is type ke questions mein:

• Pehle sab ratios ko ek common chain mein lana hota hai

• Fir total ratio units nikalte hain

• Uske baad 1 unit ki value find karke required person ka share nikalte hain

Yeh method SSC, Railway, Banking aur State exams ke liye bahut important aur scoring hota hai.

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✨ Conclusion

₹23,808 ki dhanrashi ko jab A, B, C aur D ke beech diye gaye ratios ke according baanta jata hai, toh B ke hisse mein ₹3,456 aate hain. Agar aap step-by-step approach follow karenge, toh aise questions kabhi difficult nahi lagenge.