Question

Ques!

Two persons A and B earn hourly. A earns Rs.80 in 7 hours and B earns Rs.90 in 12 hours. The ratio of their earnings

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Answer 1

Given :

• Two persons A and B earn hourly
• A earn Rs. 80 in 7 hours
• B earn Rs. 90 in 12 hours

To Find :

• Find ratio of their earnings ?

Solution :

• Given Conditions :

➣ Earning of A in 7 hours = ₹80

➣ Earning of B in 12 hours = ₹90

• Earning in 1 hour :

➣ Earning of A in 7 hours = ₹80

➣ Earning of A in 1 hours = 80/7

➣ Earning of B in 12 hours = ₹90

➣ Earning of B in 1 hours = 90/12

Ratio of their Earnings :

➣ Ratio = Earning of A/Earning of B

➣ Ratio = (80/7)/(90/12)

➣ Ratio = (80 × 12/7 × 90)

➣ Ratio = (8 × 12/7 × 9)

➣ Ratio = (8 × 4/7 × 3)

➣ Ratio = (32/21)

Hence,

• Ratio of their earning is 32 : 21.

Answer 2

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Earning by (A) in 7 hrs=80

Earning by (B) in 12 hrs=90

Earning by (A) in 1 hr= $\sf \: \frac{80}{7}$

Earning by (B) in 1 hr= $\sf \: \frac{90}{12}$

$\tt \: ratio \: of \: earning = \frac{ \frac{18}{7} }{ \frac{19}{12} } = \frac{8 \times 12}{7 \times 90} =$

$\tt \: \frac{8 \times 12}{7 \times 9} = \frac{8 \times 4}{7 \times 3} = \frac{32}{21}$

RATIO = $\sf \: \frac{32}{21}$ = 32:21