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A is 20 percent more efficient than B, C is 60 percent more efficient than D, and B is 40 percent more efficient than D. They get a total wage of ₹ 227200. If all work for an equal time, what will be the share of C?

A is 20 percent more efficient than B, C is 60 percent more efficient than D, and B is 40 percent more efficient than D. They get a total wage of ₹ 227200. If all work for an equal time, what will be the share of C? Correct Answer ₹ 64000

Given:

The efficiency of A = 20% more efficiency of B

The efficiency of C = 60% more efficiency of D

The efficiency of B = 40% more efficiency of D

Total wages = ₹ 227200

Formula used:

Entire wages = Total number of days × Wages of 1 day of any person

Calculation:

The ratio of efficiency of A to B = 6 : 5,

The ratio of efficiency of C to D = 8 : 5

The ratio of efficiency of B to D = 7 : 5

After combining the ratio we get

The ratio of efficiency of A, B, C and D = 42 : 35 : 40 : 25

Share of C = 40 units

Total share = 42 + 35 + 40 + 25

⇒ 142 units

According to the question,

142 units = ₹ 227200

⇒ 1 unit = ₹ 1600

Share of C = 40 × 1600

⇒ ₹ 64000

∴ The share of C will be ₹ 64000.

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