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Standard VIII

Mathematics

Percentage Bar Graph

A market rese...

Question

A market research group conducted a survey of $2000$ consumers and reposted that $1720$ consumers like product $P_{1}$ and $1450$ consumers like product $P_{2}$ , What is the least number that must have liked both the products?

1150

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2000

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1170

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2500

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Solution

The correct option is C $1170$
Product $P_{1} = 1450$
Product $P_{2} = 1720$
Total people $= 2000$
Least number that must have liked both the products $= P_{1} + P_{2} - 2000$
$= 1450 + 1720 - 2000$
$= 3170 - 2000$
$= 1170$
$∴ 1170$ people like both product.

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A market research group conducted a survey of 2000 consumers and reposted that 1720 consumers like product P1 and 1450 consumers like product P2, What is the least number that must have liked both the products?

The correct option is C 1170ProductP1=1450ProductP2=1720Total people =2000Least number that must have liked both the products=P1+P2−2000=1450+1720−2000=3170−2000=1170∴1170 people like both product.

A market research group conducted a survey of $2000$ consumers and reposted that $1720$ consumers like product $P_{1}$ and $1450$ consumers like product $P_{2}$ , What is the least number that must have liked both the products?

The correct option is C $1170$
Product $P_{1} = 1450$
Product $P_{2} = 1720$
Total people $= 2000$
Least number that must have liked both the products $= P_{1} + P_{2} - 2000$
$= 1450 + 1720 - 2000$
$= 3170 - 2000$
$= 1170$
$∴ 1170$ people like both product.