The ratio of monthly savings of Raja and Udit is 23 : 27. Due to increase in monthly income, their savings also increased by 2100 and 1900 respectively. Then the ratio of their savings becomes 22 : 23. Find the difference of the new savings of both.
Answer & explanation
Correct answer: option 3
Let savings of Raja and Udit be 23x and 27x
New savings of Raja = 23x + 2100
New savings of Udit = 27x + 1900
ATQ,
\(\frac{23x + 2100}{27x + 1900}\) = \(\frac{22}{23}\)
529x + 48300 = 594x = 41800
594x - 529x = 48300 - 41800
65x = 6500
x = 100
New savings:
Raja = 23 × 100 + 2100 = 4400
Udit = 27 × 100 + 1900 = 4600
Required difference = 4600 - 4400 = 200