Let’s assume the cost of $1$ table is a and cost of $1$ chair is b. Then, according to the question $4a+3b=2250$ … (a) $3a+4b=1950$ … (b) On multiplying (a) with $3$ and (b) with $4$, We get,...
$3$ bags and $4$ pens together cost $₹257$ whereas $4$ bags and $3$ pens together cost $₹324$. Find the total cost of $1$ bag and $10$ pens.
Let the cost of a bag and a pen be a and b, respectively. Then, according to the question $3a+4b=257$ … (a) $4a+3b=324$ … (b) On multiplying equation (a) by $3$ and (b) by $4$, We get, $9a+12b=770$...
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,...
$5$ books and $7$ pens together cost $₹79$ whereas $7$ books and $5$ pens together cost $₹77$. Find the total cost of $1$ book and $2$ pens.
Let’s assume the cost of a book and a pen are ₹ a and ₹ b, respectively. According to the question $5a+7b=79$… (a) $7a+5b=77$… (b) multiplying equation (a)by $5$ and (b)by $7$, We get,...
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)...
$7$ 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...
$5$ pens and $6$ pencils together cost $₹9$ and $3$ pens and $2$ pencils cost $₹5$. Find the cost of $1$ pen and $1$ pencil.
Let’s assume the cost of a pen and pencil be ₹ a and ₹ b respectively. Then, forming equations according to the question $5a+6b=9$…(a) $3a+2b=5$…(b) On multiplying equation (a)by $2$ and equation...