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Maths

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A man divides Rs 8,60,000 (8.6 lakhs) among his 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew and each son receives 5 times as much as each nephew, then how much does each daughter receive?

1. Rs 80,000
2. Rs 50,000
3. Rs 1,00,000
4. Rs 60,000

एक व्यक्ति 8,60,000 (8.6 लाख) रूपये की राशि अपने 5 पुत्रों, 4 पुत्रियों और 2 भतीजों के बीच बांटता है। यदि प्रत्येक पुत्री को प्रत्येक भतीजे की तुलना में चार गुना राशि प्राप्त होती है और प्रत्येक पुत्र को प्रत्येक भतीजे से 5 गुना राशि प्राप्त होती है, तो प्रत्येक पुत्री को कितनी राशि मिलेगी?

1. 80,000 रुपये
2. 50,000 रुपये
3. 1,00,000 रुपये
4. 60,000 रुपये
This Question came in
UGC-NET-History-28-February-2023-Shift-2-Q22
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Detailed Explanation & Answer
Let's denote the amount each nephew receives as x
Each daughter receives four times as much as each nephew: So, each daughter receives 4x
Each son receives five times as much as each nephew: So, each son receives 5x

Since there are 5 sons, 4 daughters, and 2 nephews, the equation would be -
4(4x) + 5(5x) + 2x = 8,60,000
x = 20,000

Each Daughter receivers 4x which is 4 x 20,000 = 80,000
आइए प्रत्येक भतीजे को मिलने वाली राशि को x के रूप में निरूपित करें
प्रत्येक बेटी को प्रत्येक भतीजे से चार गुना अधिक मिलता है: इसलिए, प्रत्येक बेटी को 4x मिलता है
प्रत्येक बेटे को प्रत्येक भतीजे से पांच गुना अधिक मिलता है: इसलिए, प्रत्येक बेटे को 5x मिलता है

चूँकि 5 बेटे, 4 बेटियाँ और 2 भतीजे हैं, समीकरण होगा -
4(4x) + 5(5x) + 2x = 8,60,000
x = 20,000

प्रत्येक बेटी को 4x प्राप्त होता है जो 4 x 20,000 = 80,000 है
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