The ratio of Income in 2018 of X and Y was 3:4. The ratio of individual incomes in 2018 2019 were 4:5 and 5:8 respectively. if their toal income in 2019 was INR 657720 then X?
Answers
Given :- The ratio of Income in 2018 of X and Y was 3:4. The ratio of individual incomes in 2018 2019 were 4:5 and 5:8 respectively. if their toal income in 2019 was INR 657720, then salary of X in 2019 was ?
Solution :-
Let us assume that, the salaries of X and Y last year be Rs. 3x and Rs. 4x respectively.
Then,
→ X Present salary = (5/4) * 3x = Rs. (15x/4) .
and,
→ Y Present salary = (8/5) * 4x = Rs. (32x/5) .
given that, their toal income in 2019 was Rs. 657720 .
So,
→ (15x/4) + (32x/5) = 657720
→ (15x * 5 + 32x * 4) /20 = 657720
→ 75x + 128x = 657720 * 20
→ 203x = 657720 * 20
→ x = (657720 * 20) / 203
→ x = Rs.64, 800 .
Therefore,
→ salary of X in 2019 = (15x/4) = (15 * 64800) / 4 = Rs.243,000 (Ans.)
Hence, salary of X in 2019 was Rs. 243,000 .
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