Question

Three boys sell some magazines for a total profit of Rs. 400. The profit is shared between them in a ratio equal to the number of magazines they sell. If they sell 70, 80 and 100 magazines, how much profit does each receive?

Answer 1

Answer:

i.) the boy who sold 70 magazines will receive a profit of Rs.112.

ii.) the boy who sold 80 magazines will receive a profit of Rs.128.

iii.) the boy who sold 100 magazines will receive a profit of Rs.160.

Step-by-step explanation:

The total profit was Rs. 400.

The boys sell 70, 80 and 100 and magazines respectively and the profits are shared in direct proportion to the magazines sold.

Therefore the total number of magazines sold by the boys is = 70 + 80 + 100 = 250.

Therefore the profits of the boys will be in order ,

i) for the boy who sold 70 magazines the profit will be $\frac{70}{250} \times 400 = Rs. 112$

ii) for the boy who sold 80 magazines the profit will be $\frac{80}{250} \times 400 = Rs. 128$

iii) for the boy who sold 100 magazines the profit will be $\frac{100}{250} \times 400 = Rs. 160.$

Answer 2

Given :

• Three boys sell some magazines for a total profit of Rs. 400. The profit is shared between them in a ratio equal to the number of magazines they sell. If they sell 70, 80 and 100 magazines.

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To find :

• How much profit does each receive?

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Calculations :

• Sum of magazines = 70 + 80 + 100

• Sum of magazines = 250

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• For first boy:

= 400 × 70/250

= 28000/250

= ₹112

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• For second boy:

= 400 × 80/250

= 32000/250

= ₹128

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• For third boy:

= 400 × 100/250

= 40000/250

= ₹160

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Therefore ,

• The money earned by the three boys are rupees 112, 128, 160.