Shaurya, and Shreya can do a piece of work in 15, and 20 days respecti

1.	Shaurya, and Shreya can do a piece of work in 15, and 20 days respectively, and they together earn Rs 2100. Find the share of Shreya.1. Rs 6002. Rs 8003. Rs 9004. Rs 400
Answer» Correct Answer - Option 3 : Rs 900 Given: Shaurya can do a piece of work in 15 days. Shreya can do a piece of work in 20 days. Total earning = Rs 2100 Concept: Wages are distributed in proportion to the work done and in inverse proportion to the time taken by the individual. Calculation: 1 day work of Shaurya = 1/15 1 day work of Shreya = 1/20 Ratio of their work = 1/15 ∶ 1/20 ---- (1) Take L.C.M. of 15, 20 and then multiply it with equation (1) ⇒ 60/15 ∶ 60/20 ⇒ 4 ∶ 3 Ratio of their wages = 4 ∶ 3 Let Shaurya’s share is 4x, and Shreya’s share is 3x. Shaurya’s share + Shreya’s share = 2100 ⇒ 4x + 3x = 2100 ⇒ 7x = 2100 ⇒ x = 300 Shreya’s share = 3x ⇒ 3 × 300 ⇒ 900 ∴ The share of Shreya is Rs 900.

Shaurya, and Shreya can do a piece of work in 15, and 20 days respectively, and they together earn Rs 2100. Find the share of Shreya.1. Rs 6002. Rs 8003. Rs 9004. Rs 400

Answer» Correct Answer - Option 3 : Rs 900

Given:

Shaurya can do a piece of work in 15 days.

Shreya can do a piece of work in 20 days.

Total earning = Rs 2100

Concept:

Wages are distributed in proportion to the work done and in inverse proportion to the time taken by the individual.

Calculation:

1 day work of Shaurya = 1/15

1 day work of Shreya = 1/20

Ratio of their work = 1/15 ∶ 1/20 ---- (1)

Take L.C.M. of 15, 20 and then multiply it with equation (1)

⇒ 60/15 ∶ 60/20

⇒ 4 ∶ 3

Ratio of their wages = 4 ∶ 3

Let Shaurya’s share is 4x, and Shreya’s share is 3x.

Shaurya’s share + Shreya’s share = 2100

⇒ 4x + 3x = 2100

⇒ 7x = 2100

⇒ x = 300

Shreya’s share = 3x

⇒ 3 × 300

⇒ 900

∴ The share of Shreya is Rs 900.

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