Question

Example 16 : Incomes of P, Q, R are in the ratio 2 : 3:4 and their
expenditures are in the ratio 5:7:9. If P saves (1/5)th of his income,
find the ratio of their savings.
​

Answer 1

Step-by-step explanation:

Ratio of incomes of A: B : C = 7 : 9:12

Ratio of spending of A: B: C = 8:9: 15

Let incomes of A, B & C = 7x, 9x & 12x respectively

Let spending of A, B & C = 8v, 9y & 15y respectively

According to the question,

$7x8y = \frac{1}{4} \times 7x = > 7x - \frac{7x}{4} = 8y$

21x/4=8y→x/y=32/21

Saving of A = 7 × 32 - 8 × 21 = 56

Saving of B = 9 × 32 9 × 21 = 99

Saving of C = 12 × 32 - 15 × 21 = 69

Ratio of saving of A: B : C = 56 : 99: 69

hope it helps ......

Answer 2

Answer:

10:19:28

Step-by-step explanation:

let the income of P,Q and R are 2x,3x and 4x respectively

and expenditure of P,Q and R are 5y,7y and 9y respectively

income of P×1/5= saving of P(given)

2x-5y=2x×1/5

5(2x-5y)=2x

10x-25y=2x

10x-2x=25y

8x=25y

x:y=25:8

therefore, the ratio of saving of P,Q and R

=(2x-5y) : (3x-7y) : (4x-9y)

=(2×25 - 5×8) : (3×25 - 7×8) : (4×25 - 9×8)

=(50-40) : (75-56) : (100-72)

=10:19:28