The ratio of the expenditure of P, Q and R is 207 : 195 : 217 respectively and their savings are 10%, 25% and 30% of their income. If the sum of their income is Rs 8000. Find the difference between the income of Q and R.
Answer & explanation
Correct answer: option 1
Let income of P, Q, and R = P, Q and R
ATQ,
⇒ 90% P : 75% Q : 70% R = 207 : 195 : 217
⇒ 18P : 15Q : 14R = 207 : 195 : 217
Here,
18P = 207 ⇒ P = 11.5R
15Q = 195 ⇒ Q = 13R
14R = 217 ⇒ R = 15.5R
Ratio is:
P : Q : R
11.5 : 13 : 15.5 or
23 : 26 : 31
Total income = (23 + 26 + 31)R = 8000
⇒ 80R = 8000
⇒ 1R = 100
Difference between the income of Q and R = (31 - 26 )R = 5R = 5 × 100 = 500