Shan has ₹1612 with him.
Shan has ₹1612 with him. He divided it amongst his sons Piyush and Manoj and asked them to invest it at 8% rate of interest compounded annually. It was seen that Piyush and Manoj got same amount after 12 and 13 years respectively. How much (in ₹) did Shan give to Piyush?
शान के पास ₹1612 हैं। उसने इसे अपने पुत्रों पीयूष और मनोज के बीच बाटं दिया तथा उन्हें इसे वार्षिक रूप से चक्रवृद्धि होने वाले 8 % ब्याज दर पर निवेश करने को कहा। यह देखा गया कि पीयूष और मनोज को क्रमशः 12 और 13 वर्ष बाद समान धनराशि प्राप्त हुई। शान ने पीयूष को कितनी धनराशि (₹ में) दी थी?
Detailed Solution & Logic
837
Let amount given to Piyush = ₹x
Then amount given to Manoj = ₹(1612 − x)
Rate = 8% p.a. (compound annually)
Time:
Piyush → 12 years
Manoj → 13 years
Final amounts are equal:
$ x(1.08)^{12} = (1612 - x)(1.08)^{13} $
Divide both sides by $(1.08)^{12}$:
$ x = (1612 - x)(1.08) $
$ x = 1740.96 - 1.08x $
$ x + 1.08x = 1740.96 $
$ 2.08x = 1740.96 $
$ x = 837 $
Similar Practice Questions
Two equal sums are lent at 6% and 9% simple interest per annum respectively. The interest received on both sums after 4 years differs by ₹150. Find each sum.
Two equal sums are lent at 6% and 9% simple interest per annum respectively. The...
Mahesh has ₹1617 with him.
Mahesh has ₹1617 with him. He divided it amongst his sons Vijay and Ajay and...
Find the simple interest (in ₹) on ₹2500
Find the simple interest (in ₹) on ₹2500 as a sum borrowed at 4% per...
A man took a loan from a bank at 11% per annum…
A man took a loan from a bank at 11% per annum simple interest rate....
A sum of ₹10000 is lent out in two parts, one at 7% simple Interest and the other at 12% simple interest. If the annual interest is ₹900, the sum lent at 12% is:
A sum of ₹10000 is lent out in two parts, one at 7% simple Interest...
If at same rate of interest,
If at same rate of interest, in 2 years, the simple interest is ₹40 and...
Find the rate of interest for a sum of money
Find the rate of interest for a sum of money which becomes 1.728 times itself...