6. A person goes shopping and spends 75% of his money. If he is now left with Rs. 600,
find out how much he had in the beginning.
7. A car travels 14 km in 25 minutes. Find out how far the car can travel in 5 hours if the
speed remains the same?
8. If 15 workers can finish a task in 42 hours, calculate the number of workers required to
complete the same task in 30 hours.
9. Identify the variation: “For the increase in speed, the time to cover a fixed distance reduces".
10. If the cost of 20 pens is Rs. 180, calculate the cost of 15 pens
Answers
Answer:
6 As per the given question, the person spent 75% of Rs. x and is left with Rs. 600. Or, x = 2400
7In 5 hours distance travelled = 5(60)(14)/25 = 168 km. Answer: In 25 minutes it can travel 14 km
8Thus, they are inversely proportional. Now, assume that the number of workers required to complete the task in 30 hours be “x”. => C = 15 × 42 = 630. So, the number of 21 workers are required to complete the task in 30 hours
9Identify the variation: “For the increase in speed, the time to cover a fixed distance reduces”. So, this relation is a case of indirect variation. 3.
10cost of 15 pens is Rs 135.
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Answer:
6) Rs.800
7)168 km
9) see the explanation
10) Rs.135
Step-by-step explanation:
6) let X be the money he had
75% of X = 600
75*X/100= 600
X= 600*100/75
X= 800
7) speed of the car
v= d/t= 14km/ 25min = 14/(25/60) km/ h = 33.6 km/ h
in 5 hrs, distance, s= VT= 33.6*5= 168km
9) wkt, v=d/t therefore, if d is constant, v is proportional to 1/t thus for fixed distance, increase in speed reduces the time taken to cover tht distance
10) 20 pens would cost Rs. 180
so, the cost of each pen= 180/20= Rs. 9
the cost of 15 pens = 15*9= Rs. 135