Exercise 3.6

Jamila sold a table and a chair for $₹1050$, thereby making a profit of $10\%$ on the table and $25\%$ on the chair. If she had taken a profit of $25\%$ on the table and $10\%$ on the chair she would have got $₹1065$. Find the cost price of each.

Let the cost price of one table and one chair be ₹ a and ₹ b, respectively. The selling price of the table, when it’s sold at a profit of $10\%=₹a+10a/100=₹110a/100$ The selling price of the chair,...

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Reena has pens and pencils which together are $40$ in number. If she has $5$ more pencils and $5$ less pens, then the number of pencils would become $4$ times the number of pens. Find the original number of pens and pencils.

Let’s assume the number of pens and pencils are a and b, respectively. Forming equations according to the question, we have $a+b=40$… (a) $(b+5)=4(a-5)$ $b+5=4a–20$ $5+20=4a–b$ $4a –b=25$… (b)...

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$7$ audio cassettes and $3$ videocassettes cost $₹1110$, while $5$ audio cassettes and $4$ videocassettes cost $₹1350$. Find the cost of audio cassettes and a video cassette.

Let’s assume the cost of an audio cassette and that of a video cassette be ₹a and ₹b, respectively. Then forming equations according to the question, we have $7a+3b=1110$…(a) $5a+4b=1350$… (b) On...

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