Under the ‘Inspire Awards’ scheme, $$5000$$ rupees per student were granted for the purchase of science project materials. If $$154$$ students in a certain Taluka were covered under the scheme, find the total amount granted to that Taluka.

Question

Under the ‘Inspire Awards’ scheme, $$5000$$ rupees per student were granted for the purchase of science project materials. If  $$154$$ students in a certain Taluka were covered under the scheme, find the total amount granted to that Taluka.

Vedantu Content Team · Accepted Answer

Hint: Here we use the concept of unitary method which helps us to find the value of multiple objects when we have the value of a single object by multiplying the number of objects with the value for one object.Complete step-by-step answer: We are given that under the ‘Inspire Awards’ scheme, $$5000$$rupees per student were granted for the purchase of science project materials.This means grant given to one student is $$Rs.5000$$To calculate the amount granted to a Taluka which has $$154$$ students in it we use the unitary method.We calculate the amount granted to a Taluka which has $$154$$ students by multiplying the number of students to the amount  $$Rs.5000$$ which is granted per student.Total amount granted to Taluka is $$Rs.5000 \times 154 = Rs.7,70,000$$Additional Information:Unitary method is a method which helps us to find the value of a single unit when we are given the value of multiple units and find the value of multiple units when we are given the value of a single unit.* If we are given the value of a single unit, we multiply the number of units to the value of a single unit and we get the value of multiple units.* If we are given the value of multiple units then we divide the total value by the number of units to get the value of a single unit.Note: Students are likely to make mistakes in questions which have units in different forms. Students are advised to use common conversions first to convert all the values in the same unit and then do calculations. Some conversions are: $$  1Kg = 1000 grams   \\  Rs.1 = 100 paisa   \\  1Dozen = 12 units   \\     \\  $$

Under the ‘Inspire Awards’ scheme, \[5000\] rupees per student were granted for the purchase of science project materials. If \[154\] students in a certain Taluka were covered under the scheme, find the total amount granted to that Taluka.