In 1999, Danish read 10 English books and 7 Urdu books. In 2000, he read twice as many Urdu books as English books. If 60% of the books that he read during the two years were Urdu, how many books did he read in 2000?
- 26
- 32
- 39
- 48
Explanation
Let the number of English books Danish read in 2000 = x
Then Urdu books in 2000 = 2x (twice as many)
Total books:
- In 1999:
English = 10, Urdu = 7 → Total = 17
- In 2000:
English = x, Urdu = 2x → Total = x + 2x = 3x
Total books in 2 years = 17 + 3x
Total Urdu books = 7 + 2x
Given: 60% of total books were Urdu
So:
(7 + 2x) / (17 + 3x) = 0.6
Multiply both sides:
7 + 2x = 0.6(17 + 3x)
7 + 2x = 10.2 + 1.8x
2x - 1.8x = 10.2 - 7
0.2x = 3.2
x = 16
So, in 2000:
- English = 16
- Urdu = 2×16 = 32
- Total = 48
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