Sharad invested two equal amounts for 6 years and 3 years
Sharad invested two equal amounts for 6 years and 3 years at the rate of 7% and 9% per annum, respectively. The sum of their simple interest is ₹1,587. The invested amount (in ₹) by Sharad is:
शरद ने क्रमशः 7% और 9% वार्षिक दर से 6 वर्ष और 3 वर्ष के लिए दो बराबर राशियों का निवेश किया। उनके साधारण ब्याज का योग ₹ 1,587 है। शरद द्वारा निवेशित राशि (₹में) कितनी है?
Detailed Solution & Logic
4,600
Let each invested amount be $ x $
SI for first investment (6 years at 7%): SI1 =$ \frac{x \times 7 \times 6}{100} = \frac{42x}{100} $
SI for second investment (3 years at 9%): SI2 = $\frac{x \times 9 \times 3}{100} = \frac{27x}{100} $
Total SI: SI1 + SI2 = $ \frac{42x + 27x}{100} = \frac{69x}{100} = 1587 $
$ 69x = 158700 $
$ x = 2300 $
Total invested by Sharad = $ 2300 \times 2 = 4600 $
Answer = 4600
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