aniket deposited two parts of a sum of rs 25000 in different banks at the rate of 15% pa and 18% pa respectively. in one year he got rs 4050 as the total interest.what is the total amount deposited at the rate of 15%pa?
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let, 18%pa=p so,15%pa=(25000-p)
(18p/100)+(25000-p)15/100=4050
3p/100=4050-3750
p=10000
so,25000-10000=15000 amount deposited at the rate of 15%pa
(18p/100)+(25000-p)15/100=4050
3p/100=4050-3750
p=10000
so,25000-10000=15000 amount deposited at the rate of 15%pa
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Answer:
15000 rupees.
Step-by-step explanation:
Let x be the amount deposited at the rate of 15% pa,
Since, the total deposited amount = 25000 rupees,
⇒ The amount deposited at the rate of 18 % pa = (25000 - x) rupees,
Thus, the total interest in one year = 15 % of x + 18 % of (25000 - x)
= 0.15 x + 0.18(25000-x)
According to the question,
0.15 x + 0.18(25000-x) = 4050
⇒ 0.15x + 4500 - 0.18x = 4050
⇒ -0.03x= 4050 - 4500
⇒ -0.03x = -450
⇒ x = 15000
Hence, the amount deposited in 15 % pa = 15000 rupees.
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