A worker’s regular pay is Tk. 15 per hour up to 40 hours. Overtime is paid at twice the regular rate. If he was paid Tk. 1,050, how many hours of overtime did he work?

Question: A worker’s regular pay is Tk. 15 per hour up to 40 hours. Overtime is paid at twice the regular rate. If he was paid Tk. 1,050, how many hours of overtime did he work?

Solution:

ধরি,
তিনি x ঘণ্টা overtime কাজ করেছেন।

সাধারণ বেতন (40 ঘণ্টার জন্য) = 15 × 40 = 600 টাকা
Overtime বেতন = 15 × 2 × x = 30x টাকা

মোট বেতন = সাধারণ বেতন + overtime বেতন

অর্থাৎ,
600 + 30x = 1,050
⇒ 30x = 1,050 - 600
⇒ 30x = 450
⇒ x = 450/30
∴ x = 15

∴ তিনি 15 ঘন্টা overtime করেছেন।