Two person Q and R earn in the ratio of 2 : 3. They spend in the ratio 9 : 5 and save in the ratio 4 : 7. Find the monthly income of each if the total monthly savings of both Q and R together is Rs.18700.
Answer & explanation
Correct answer: option 4
Q : R : Total
Saving 4 : 7 : 11
↓ x1700 ↓ x1700 ↓ x1700
6800 11900 18700 (given)
Now ATQ,
\(\frac{2R - 6800}{3R - 11900}\) = \(\frac{9}{5}\) [ inc. - sav. = exp.]
⇒ 10R - 34000 = 27R - 107100
⇒ 17R = 73100
⇒ 1R = 4300
Income of Q = 2R = 8600
R = 3R = 12900