A lends Rs. 4000 to B and a certain sum to C at the same time at 7% per annum simple interest Time =5 years A receives Rs. 3500 as interest from B and C Formula used: Simple Interest =
Principal ×Rate × Time
100
let y be the sum lent to C by A, Interest for 5 years =3500 Interest for 1 year =3500∕5 =700
4000×7×1
100
+
y×7×1
100
=700 40×7×1+
y×7×1
100
=700 280+0.07y=700 0.07y=700−280 0.07y=420 y=
420
0.07
y=
420
7
100
y=6000 Amount lent to C by A=Rs.6000 Difference between C and B=6000−4000=Rs.2000 ∴ Answer is Rs. 2000 .