Question

Raju is paid 1500 rupees for 30 hours per week for a certain work. He is paid at the same rate for up to 40 hours and for overtime he is paid twice the normal rate. If he wants to earn 8500 rupees a week then how many hours he needs to work

Answer 1

▂ ▄ ▅ ▆ ▇ █ SOLUTION █ ▇ ▆ ▅ ▄ ▂

☆GIVEN☆

• RAJU GOT IN 30H=₹1500
• RAJU GOT IN 1H=1500/30=50

☆IF RAJU GOT SAME RATE FOR UP TO 40H

• RAJU GOT IN 40H=40*50=2000

☆LET

• THE NORMAL RATE BE X
• THE NORMAL HOURS BE 2X
• TOTAL EARNINGS=8500

☆ACCORDING TO THE QUESTION☆

☆AMOUNT OF 40H+ AMOUNT OF OVER TIME=TOTAL☆

$⇒40 \times 50 + 50 \times2 x = 8500 \\ \\ ⇒2000 + 100x = 8500 \\ \\ ⇒100x = 8500 - 2000 \\ \\ ⇒100x = 6500 \\ \\ ⇒x = 65 \: hours$

☆HENCE☆

• RAJU NEED 65H TO EARNS ₹8500

☆VERIFICATION☆

$↪40 \times 50 + 50 \times 2 \times 65 = 8500 \\ \\ ↪2000 + 6500 = 8500 \\ \\ ↪8500 = 8500$

☆HENCE,PROVED☆