A typist charges Rs. 145 for typing 10 English and 3 Hindi pages, while the charge for typing 3 English and 10 Hindi pages is Rs. 180. Using matrices, find the charge of typing one English and one Hindi page separately. The typist charged only Rs. 2 per page from a poor student Shyam for 5 Hindi pages. How much less was charged from this poor boy? Which values are reflected in this problem?
Answer: English Rs. 10/page, Hindi Rs. 15/page; Rs. 65 less charged from Shyam
Solution
Let English and Hindi per-page charges be and . The data give
i.e. with , , .
Solving (e.g. ) gives .
Normal charge for Shyam's Hindi pages ; he was charged . So Rs. less.
Values reflected: kindness, compassion and encouragement of education.
i.e. with , , .
Solving (e.g. ) gives .
Normal charge for Shyam's Hindi pages ; he was charged . So Rs. less.
Values reflected: kindness, compassion and encouragement of education.
CBSE Class 12 Board · 2016 · Subjective