The ratio of incomes of A,B and C is 3:4:5. The ratio of their expenditures is 4:5:6
. Find the ratio of their savings if the savings of A is one –fourth of his income.
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Answer:
Given that
Ia/3 = Ib/7 = Ic/4 = k
Ia = 3k. Ib = 7k. Ic = 4k
Ea/4 = Eb/3 = Ec/5 = R
Ea = 4R. Eb = 3R. Ec = 5R
Ia = Rs 2400 . Sa = Rs 300
Ea = Is - Sa = Rs 2400 - Rs 300 = Rs 2100
Now. Ia = 3k. Or Rs 2400 = 3k . k = 800
Therefore
Ib = Rs 7*800 = Rs 5600
Ic = Rs 4*800 = Rs 3200
Similarly Ea = 4R . 2100 = 4R. R = 525
Eb = 3*525 = Rs 1575 Sb = Ib - Eb = 5600 - 1575 = Rs 4025
Ec = 5R = 5*525 = Rs 2575 . Sc = Ic - Ec = 3200 - 2575 = Rs 625
Saving of B = Rs 4025
Saving of C = Rs 625
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