Q. ₹196 is distributed in 300 children. If girls gain ₹1 and boys 50 paisa, then what is the number of boys?
(A) 210
(B) 14
(C) 208
(D) 212
Question from UPPSC Prelims CSAT 2024
Correct Answer: (C) 208
Explanation:
1. Let the number of boys = x, so the number of girls = 300 – x.
2. Total money equation: 1(300 – x) + 0.50(x) = 196
3. Simplify:
300 – x + 0.50x = 196
300 – 0.50x = 196
-0.50x = -104
x = 208
4. Cross Checking:
– Boys = 208 → ₹0.50 × 208 = ₹104
– Girls = 92 → ₹1 × 92 = ₹92
– Total = ₹104 + ₹92 = ₹196
Final Answer: (C) 208