1.An old lady Krishna Devi deposited Rs. 12000 in a bank at 8% simple interest p.a. She uses the annual interest to give five scholarships to the students of a school for their overall performances each year. The amount of each scholarship is rs 300 less than the preceding scholarship. Answer
the following
(i) Find amount of each scholarship?
(ii) What values of the lady are reflected?
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Sol:
Principal = 12000Rs
Rate = 8%,
Time = 1 year
SI = P x T x R/100 = (12000 x 8 x 1) / 100 = Rs 960
Rs 960 is the amount given as scholarship.
Let the amount of highest scholarship be Rs x
So the scholarships will be x-300, x -600, x -900, x -1200
⇒ x +(x -300) + (x-600 ) +(x-900) + (x-1200) = 960
⇒ 5x - 3000 = 960
⇒ 5x = 3960
x = 3960/5 = Rs 792
So the highest scholarship is Rs 792
∴ Preceding scholarships are 792 - 300 = 492, 792 - 600 = 192
So, the number of students who get the scholarship is only 3 as the other scholarship amounts are negative according to the given data in the question.
Principal = 12000Rs
Rate = 8%,
Time = 1 year
SI = P x T x R/100 = (12000 x 8 x 1) / 100 = Rs 960
Rs 960 is the amount given as scholarship.
Let the amount of highest scholarship be Rs x
So the scholarships will be x-300, x -600, x -900, x -1200
⇒ x +(x -300) + (x-600 ) +(x-900) + (x-1200) = 960
⇒ 5x - 3000 = 960
⇒ 5x = 3960
x = 3960/5 = Rs 792
So the highest scholarship is Rs 792
∴ Preceding scholarships are 792 - 300 = 492, 792 - 600 = 192
So, the number of students who get the scholarship is only 3 as the other scholarship amounts are negative according to the given data in the question.
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