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.
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 … (c)

16a+12b=1296 … (d)

Subtracting equation (c) from (d), we get

16a-9a=1296-771

7a=525

a=525/7=75

Hence, the cost of a bag =75

Substituting a=75 in equation (a),

We get,

3\times 75+4b=257

225+4b=257

4b=257-225

4b=32

4b=32/4=8

Therefore, the cost of a pen =8

From the question, it’s required to find the value of 75 +10(8)=20

Therefore, the total cost of 1 bag and 10 pens =75+80=155.