500 g of jaggery syrup has 30% jaggery in it. The quantity of jaggery that should be added to make it 50% of syrup is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 200 g
Given:
Total syrup = 500 g
Jaggery content = 30% ⇒ 0.3 × 500 = 150 g
Let x g of jaggery be added to make jaggery 50% of syrup.
Total syrup after addition = 500 + x
Total jaggery after addition = 150 + x
Required concentration: 50%
$\frac{150 + x}{500 + x} = 0.5$
$150 + x = 0.5(500 + x) = 250 + 0.5x$
$0.5x = 100 ⇒ x = 200 g$