Verified by Ajay Kumar
Rohit distributed 70% of the total money he had between Priya and Meena in the ratio 5:9, respectively. Priya and Meena deposited their respective shares at 6% and 10% simple interest per annum for 4 years. If the difference in the interest earned by Meena and Priya is Rs. 2,304, find the total amount Rohit had.
Rs. 23,400
Rs. 33,400
Rs. 16,900
Rs. 19,200
Answer: D
Let the total amount be P. Priya receives 70% × 5/14 = P/4, and Meena receives 70% × 9/14 = 9P/20. The difference in their simple interest for 4 years is (9P/20 × 10 × 4/100) − (P/4 × 6 × 4/100) = 0.12P. Thus, 0.12P = 2304, so P = ₹19,200.
रोहित ने अपनी कुल धनराशि का 70% प्रिया और मीना के बीच क्रमशः 5:9 के अनुपात में बाँट दिया। प्रिया और मीना ने अपने-अपने हिस्से को 6% और 10% वार्षिक साधारण ब्याज की दर से 4 वर्षों के लिए जमा किया। यदि मीना और प्रिया द्वारा अर्जित ब्याज में अंतर ₹2,304 है, तो रोहित के पास कुल कितनी धनराशि थी?
23,400 रुपये
33,400 रुपये
16,900 रुपये
19,200 रुपये
उत्तर: D
कुल धनराशि P मानें। प्रिया का हिस्सा = 70% × 5/14 = P/4 और मीना का हिस्सा = 70% × 9/14 = 9P/20। चार वर्षों के ब्याज का अंतर = (9P/20 × 10 × 4/100) − (P/4 × 6 × 4/100) = 0.12P। अतः 0.12P = 2304, इसलिए P = ₹19,200।
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