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Income of Pawan is 5 percent more than the income of Pankaj and income of Pankaj is 15 percent more than the income of Manjeet. The income of Manjeet
Question

Income of Pawan is 5 percent more than the income of Pankaj and income of Pankaj is 15 percent more than the income of Manjeet. The income of Manjeet is (approximately) how much percentage less than the income of Pawan?

A.

7 percent

B.

17 percent

C.

3 percent

D.

10 percent

Correct option is B

Given:
Income of Pawan is 5% more than Pankaj
Income of Pankaj is 15% more than Manjeet
Find how much percentage less Manjeet’s income is compared to Pawan’s.

Formula Used:

1. Increased value=Original×(1+percent increase100) 2. Percentage decrease=(Higher valueLower valueHigher value)×100\text{1. Increased value} = \text{Original} \times \left(1 + \frac{\text{percent increase}}{100}\right) \\\ \\\text{2. Percentage decrease} = \left( \frac{\text{Higher value} - \text{Lower value}}{\text{Higher value}} \right) \times 100

Solution:

Assume Manjeet's income = ₹100

Step 1: Pankaj’s income = ₹100 + 15% of ₹100 = ₹115
Step 2: Pawan’s income = ₹115 + 5% of ₹115 = ₹120.75

Step 3: % less of Manjeet compared to Pawan

Required % less=(120.75100120.75)×100=20.75120.75×10017.18%\text{Required \% less} = \left( \frac{120.75 - 100}{120.75} \right) \times 100 = \frac{20.75}{120.75} \times 100 \approx 17.18\% \\

So, Manjeet’s income is approximately 17% less than Pawan’s.

Final Answer: (B) 17 percent

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