Two equal sums in Rs are lent at 8 and 4 simple interest p a respectively at the same time The first...........

Quantitative Aptitude (CPO) Simple Interest

Two equal sums(in Rs) are lent at 8% and 4% simple interest p.a, respectively at the same time.The first sum is received 2 years earlier

than the other and the amount received in each case is Rs14,500. Each sum is:

This questions was previously asked in

SSC CPO 13th Dec 2019 Shift-1

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Rs12,800

Rs12,500

Rs13,200

Rs12,000

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Explanation:

Correct answer is 2 - 12500

Solution
P1 = P2, R1 = 8% and R2 = 4%
The first sum is collected 2 years earlier than the second
Formula used:
SI = (P x R x T)/100
Calculation:
Let Principal be p and time be t
According to the question
p+ (px 8 xt)/100 = p + (px 4 x (t + 2)/100
8pt = 4pt + 8p
8p = 4pt
t = 8p/4p = 2
t = 2 years, r = 8%
As we know,
p + prt/100 = Amount
p+ (p x 8 x 2)/100 = 14500
116p/100 = 14500
p = 14500 x 100/116
p = 12500
The correct answer is 12500