A man borrowed ₹ 10,000 from two different moneylenders. One charges 5% simple interest per annum, and the other 7%. After 2 years. the total interest paid was ₹1,120. Find how much he borrowed from each.
A man borrowed ₹ 10,000 from two different moneylenders. One charges 5% simple interest per annum, and the other 7%. After 2 years. the total interest paid was ₹1,120. Find how much he borrowed from each.
एक व्यक्ति ने दो अलग – अलग साहूकारों से ₹10,000 उधार लिए। एक 5% वार्षिक साधारण ब्याज लेता है, और दूसरा 7% । 2 साल बाद, चुकाया गया कुल ब्याज ₹1,120 था। पता लगाएँ कि उसने प्रत्येक से कितना उधार लिया।
Detailed Solution & Logic
₹7,000 at 5%, ₹ 3,000 at 7% / 5% पर ₹7,000, 7% पर ₹3,000
Let the amounts be:
From 5% lender = ₹x
From 7% lender = ₹(10,000 − x)
Interest for 2 years:
At 5%: $ x \times \frac {5}{100} \times 2 = 0.10 x$
At 7% : $ (10000-x) \times \frac{7}{100} \times 2 = 0.14(10000 - x) $
Total Interest = 1120
$0.10x + 0.14(10000 - x) =1120 $
$0.10x + 1400 - 0.14x = 1120 $
$ -0.04 x = -280 $
$x = 7000 $
✔ Amount at 5% = ₹7,000
✔ Amount at 7% = ₹3,000
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