SSC CHSL 2024 PYQ — Question 53

SSC CHSL - 01 July 2024 - Shift 4 • Quantitative Aptitude • Q53

Fifteen persons working 12 hours a day earn Rs. 18,000 per week. How many rupees will 18 persons working 9 hours a day earn per week?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. Rs.16,200.

Given:

Fifteen persons working 12 hours a day earn Rs. 18,000 per week.

Formula used: 

M1×H1×D1W1\frac{M1 × H1 × D1 }{W1}  = M2×H2×D2W2\frac{M2 × H2 × D2}{W2}

Explanation:

According to the given question,

M1 = 15, H1 = 12, D1 = D2 = 7, W1 = 18000

M2 = 18, H2 = 9

Substituting in the formula,

⇒ 15×12×718000\frac{15 × 12 × 7 }{18000} = 18×9×7W2\frac{18 × 9 × 7}{W2}

⇒ W2 = 204120001260\frac{20412000}{1260} 

⇒ W2 = 16200

Hence, 18 persons working 9 hours a day earn Rs 16200 per week.