Word Problems: The Fish Tale | Mathematics for Class 5: NCERT PDF Download

Q1: Manoj is travelling in his car and travels 120 km in 3 hours. Find the speed per hour.
Sol: Distance travelled in 3 hours = 120 km
To find the distance travelled in 1 hour, we divide.
Distance travelled in 1 hour = 120/3
= 40 km

Q2: When fresh fish is dried, it becomes 1/3 of its weight. If we want 6 kg of dried fish, how many kilograms of fresh fish is needed?
Sol: When fish is dried, it becomes 1/3rd of its weight.
To get 6kg of total dried fish, we would need 3 times of fresh fish.
So, quantity of fresh fish needed = 6 x 3 = 18 kg
We need 18kg of fresh fish so that when it is dried, we are left with 6kg of dried fish.
(We can even check our answer: 18 x 1/3 = 6)

Q3: Speed of a motorboat is 10 km/hour. How far can a motorboat go in seven and a half hours?
Sol: Speed of a motorboat = 10 km/hour
Distance travelled in 7 hours = 7 x 10 = 70 km
Distance travelled in 1 hour= 70/7 = 10 km
Distance travelled in half an hour = 10/2 = 5 km
Distance travelled in seven and half hours = 75 km
Q4: The cost of a fish which weighs 8 kg is 1200 rupees. What is the cost per kg?
Sol: Cost of 8 kg fish = 1200 rupees
Cost of 1 kg fish = 1200/8 = 150 rupees

Q5: Manu borrowed 42000 rupees from a bank to buy a refrigerator. He repaid 36000 rupees in one year. How much did he repay monthly?
Sol: Amount repaid in one year = 36000 rupees
Amount repaid in every month = 36000/12 = 3000 rupees

Q6: Nithya borrowed 12000 rupees from a bank. She repays 825 rupees every month for a year. How much money does she repay at the end of a year?
Sol: Amount repaid in every month = 825 rupees
Amount repaid at the end of a year = 825 x 12 = 9900 rupees.

Q7: Amal took a loan of 24000 rupees for buying a laptop. He paid back a total of 30000 rupees in one year. How much did he pay back every month?
Sol: Amount paid back in one year = 30000 rupees
Amount paid back in every month = 30000 /12 = 2500 rupees
Q8: Floramma sells mackerels at 120 rupees per kg. Karuthamma sells prawns at 250 rupees per kg. Floramma sells 12 kg mackerels and Karuthamma sells 15 kg prawns. What is the difference of their earnings?
Sol: Cost of mackerels = 120 rupees/kg
Cost of prawns = 250 rupees/kg
Cost of 12 kg mackerels = 120 x 12 = 1440 rupees
Cost of 15 kg prawns = 15 x 250 = 3750 rupees
Difference = 3750 – 1440 = 2310 rupees

Q9: Gracy took a loan of 4000 rupees to buy a net. She paid back 345 rupees every month for one year. How much money did she pay back to the Bank?
Sol: Amount paid back in every month = 345 rupees
Amount paid back in one year = 345 x 12 = 4140 rupees

Q10: The speed of a long tail boat is 12 km/hour. If a long tail boat has to travel 60 km how long will it take?
Sol: Speed of a long tail boat = 12 km/ hour
Time taken to cover 60 km = 60/12 = 5 hours.