Let the annual income of Ramesh, Suresh and Preeti be ₹ x, ₹ y and ₹ z respectively.
Total income of Ramesh, Suresh and Preeti = ₹ 8,07,000
∴ x + y + z = 807000 …(i)
|
Expense(%) |
Saving(%) |
| Ramesh |
75% |
(100 -75) = 25% |
| Suresh |
80% |
(100 - 80) = 20% |
| Preeti |
90% |
(100 - 90) = 10% |
∴ Savings of Ramesh = 25% of x
= ₹ \(\frac{25x}{100}\)..(ii)
Savings of Suresh = 20% of y
= ₹ \(\frac{25y}{100}\)…(iii)
Savings of Preeti = 10% of z
= ₹ \(\frac{10z}{100}\)…..(iv)
Ratio of their savings = 16 : 17 : 12
Let the common multiple be k.
Savings of Ramesh = ₹ 16 k … (v)
Savings of Suresh = ₹ 17 k … (vi)
Savings of Preeti = ₹ 12 k .. .(vii)
∴ z = 120k …(x)
From (i), (viii), (ix) and (x), we get
64k + 85k + 120k = 807000
269k = 807000
k = \(\frac{807000}{269}\)
k = 3000
∴ Annual saving of Ramesh = 16k
= 16 x 3000
= ₹ 48,000
Annual saving of Suresh = 17k
= 17 x 3000 = ₹ 51,000
Annual saving of Preeti = 12k
= 12 x 3000
= ₹ 36,000
The annual savings of Ramesh, Suresh and Preeti are ₹ 48,000, ₹ 51,000 and ₹ 36,000 respectively.
