RRB Group-D Model Paper 11 with answers for online practice

Question : 76 of 100

Marks: +1, -0

A sum of Rs. 1000 is lent out in two parts in such a way that the simple interest on one part at 10% per annum for 5 years is equal to that on another part at 12.5% per annum for 4 years. The sum lent out at 12.5% is?

Rs. 500
Rs. 475
Rs. 750
Rs. 250

Validate

Solution:

We know that,
Simple Interest = prt/100
Where, P = principal, r = % rate of interest per annum, t = time period in years
Let the two parts of the sum divided be Rs. x and Rs. (1000 – x)
Let’s assume that, x is lent out at 10% per annum for 5 years and
(1000 – x) is lent out at 12.5% per annum for 4 years.
According to the question,

(x×10×5)/100={(1000−x)×12.5×4}/100

50x = 50000 – 50x
100x = 50000
x = 50000/100 = Rs. 500
Thus, sum lent on 12.5% interest= 1000 – 500 = Rs. 500

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