Quantity B: A alone can paint a building in 15 days and B can do the

1.	Quantity B: A alone can paint a building in 15 days and B can do the same work in 20 days. Both were jointly hired to do the work for Rs. 6000. After 3 days B left and C joined who performed 1/3 of the remaining work. Calculate the wage of A.1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B
Answer» Quantity A: Let the rent for 1 month for 1 cow be Rs. x ⇒ Rent of A = 9 × 8 × x = 72X ⇒ Rent of B = 10 × 5 × x = 50x ⇒ Rent of C = 14 × 10 × x = 140x ⇒ Rent of D = 7 × 9 × x = 63X A's share = Rs.720 ⇒ 72x = 720 ⇒ x = 10 ⇒ Total rent of the pasture = 72x + 50x + 140x + 63x = 325x ⇒ 325x = 325 × 10 = Rs. 3250 Quantity B: ⇒ A’s income per day = 6000/15 = 400 ⇒ B’s income per day = 6000/20 = 300 ⇒ A’s income in 3 days = 400 × 3 = 1200 ⇒ B’s income in 3 days = 300 × 3 = 900 Now, B doesn’t work further but A still have done 2/3 of the remaining work. ⇒ Amount LEFT for remaining work = 6000 – 1200 – 900 = 3900 ⇒ Amount A will get = (2/3) × 3900 = 2 × 1300 = 2600 ⇒ Amount C will get = (1/3) × 3900 = 1 × 1300 = 1300 ⇒ A’s total income = 1200 + 2600 = 3800 ⇒ The income of A is Rs. 3800 ∴ Quantity A < Quantity B

Quantity B: A alone can paint a building in 15 days and B can do the same work in 20 days. Both were jointly hired to do the work for Rs. 6000. After 3 days B left and C joined who performed 1/3 of the remaining work. Calculate the wage of A.1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B

Answer»

Quantity A:

Let the rent for 1 month for 1 cow be Rs. x

⇒ Rent of A = 9 × 8 × x = 72X

⇒ Rent of B = 10 × 5 × x = 50x

⇒ Rent of C = 14 × 10 × x = 140x

⇒ Rent of D = 7 × 9 × x = 63X

A's share = Rs.720

⇒ 72x = 720

⇒ x = 10

⇒ Total rent of the pasture = 72x + 50x + 140x + 63x = 325x

⇒ 325x = 325 × 10 = Rs. 3250

Quantity B:

⇒ A’s income per day = 6000/15 = 400

⇒ B’s income per day = 6000/20 = 300

⇒ A’s income in 3 days = 400 × 3 = 1200

⇒ B’s income in 3 days = 300 × 3 = 900

Now, B doesn’t work further but A still have done 2/3 of the remaining work.

⇒ Amount LEFT for remaining work = 6000 – 1200 – 900 = 3900

⇒ Amount A will get = (2/3) × 3900 = 2 × 1300 = 2600

⇒ Amount C will get = (1/3) × 3900 = 1 × 1300 = 1300

⇒ A’s total income = 1200 + 2600 = 3800

⇒ The income of A is Rs. 3800

∴ Quantity A < Quantity B