Question

What sum lent out at
25/4% per annum produce the same simple interest in 2years as rs2100 lent out at 5%per annum produces in 16months?​

Answer 1

FIRST CALCULATE THE SIMPLE INTEREST LENT OUT-

P=2100

R=5%

TIME = 16 MONTHS OR 4/3 YEARS

S.I.= PRT/100= 2100×5×4/100×3

=21×5×4/3

=7×5×4

=35×4

=140 RS

NOW, S.I. = 140 RS

WE HAVE-

P=?

R=25/4%

T=2 YEARS

S.I.= 140

S.I.=PRT/100

140=P×25×2/100×4

140=P×2/4×4

140=P/2×4

140=P/8

140×8= P

1120=P

SUM LENT OUT IS R.S. 1120

Answer 2

Let us take unknown principle as x

Then

Si =

$\frac{prt}{100}$

$= \frac{2x}{100} \times \frac{25}{4}$

$\frac{x}{8}$

Si 2 =

$\frac{2100 \times 5}{100} \times \frac{16}{12}$

$21 \times 5 \times \frac{4}{3}$

$7 \times 5 \times 4$

$140$

Therefore

$\frac{x}{8} = 140$

$x = 140 \times 8$

$x = 1120$
Please mark this as brainliest answer