Divide ₹ 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate… · ABC26GN4101

Let the parts be x, y and z.  5   5   5  x + x × 2×  = y + y × 3×  = z + z× 4×   100   100   100  11x 23 y 6 z 10 k 20 k 5k = = =k ⇒ x= ,y= ,z= . ⇒ 10 20 5 11 23 6 But x + y + z = 2379 10 k 20 k 5 k ⇒ + + = 2379 11 23 6 ⇒ 1380k + 1320k + 1265k = 2379 × 11 × 23 × 6 2379 × 11 × 23 × 6 3 × 11 × 23 × 6 ⇒ k= = 3965 5  10 3 × 11 × 23 × 6  x=  ×  = 828.  11 5  Hence, the first part is ` 828.