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Asked: 2026-09-28T08:40:38+00:00 In:

(Śrīdharācārya, Pātīgaṇita, c. 750 CE) In ancient India, Varṇa was the measure of gold purity. A purity of 16 varṇa meant pure gold; in general, a purity of varṇa meant that the gold-alloy was gold and the rest impurities. (Now the term used is karat; 16 Varṇa = 24 karat.) Suppose a goldsmith melts together three pieces of gold: 9 units at 12 varṇa, 5 units at 10 varṇa and 17 units at 11 varṇa. Find the purity in varṇa of the combined gold.

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The total purity is 345 varṇa-units. Dividing by the total weight of 31 units gives a combined purity of approximately 11.13 varṇa.

Class 9 Ganita Manjari Part 2 chapter 10 question answer
Class 9 Ganita Manjari How Chapter 10 Quantities Combine Understanding Data Solutions

a purity of 16 varṇa meant pure goldchapter 10 how quantities combine understanding data solutionsdownload class 9 maths ganita manjari part 2 book and solutionsncert solutions – ganita manjari part ii how quantities combine understanding datasuppose a goldsmith melts together three pieces of gold
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    1. To find the combined purity, we determine the weighted average by multiplying each piece’s weight by its varṇa rating. This gives 345 varṇa-units. Dividing this sum by the combined weight of 31 units (9 + 5 + 17) results in an overall purity of approximately 11.13 varṇa.

       

      For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 10 How Quantities Combine Understanding Data Question Answer (2026-27)

      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-10/

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