T and U start a business. T invests ₹40,000. After 3 months, U joins with ₹60,000.
T and U start a business. T invests ₹40,000. After 3 months, U joins with ₹60,000. After 3 more months, T doubles his capital. If the business runs for 12 months, find the profit ratio of T to U:
T और U व्यवसाय शुरू करते हैं। T ₹40,000 निवेश करता हैं। 3 महीने बाद, U ₹ 60,000 के साथ जुड़ जाते हैं। 3 और महीनें बाद, T अपनी पूंजी को दोगुना कर लेता हैं। यदि व्यवसाय 12 महीनें तक चलता हैं, तो T और U का लाभ अनुपात ज्ञात कीजिए।
Detailed Solution & Logic
4 : 3
T’s investment:
First 3 months: ₹40,000
Next 3 months: ₹40,000
Last 6 months: ₹80,000 (doubled)
Capital–month of T:
$40{,}000 \times 3 + 40{,}000 \times 3 + 80{,}000 \times 6$
$= 120{,}000 + 120{,}000 + 480{,}000 = 720{,}000$
U’s investment:
₹60,000 for 9 months (from month 3 to 12)
Capital–month of U:
$60{,}000 \times 9 = 540{,}000$
Profit ratio:
$720{,}000 : 540{,}000 = 4 : 3$
Required profit ratio=4:3.
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