Question

EE
12a
A baker earns a profit of 4 on selling a pack of white bread and incurs a loss of 6 on selling a pack of brown bread.
On Monday, she incurred an overall loss of 100. If she had sold 26 packs of white bread, how many packs of brown bread did she sell?
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Answer 1

Given:

(I) The Baker earns a profit of 4 on selling a pack of white bread

(ii) She also incurs a loss of 6 on selling a pack of brown bread

(iii) On Monday he incurred an overall loss of 100.

(iv) She sold 26 packs of white bread that day.

To find:

(I) Number of packs of brown bread sold.

Solution:

Let the cost of 1 pack of white bread be Rs x.

As he earns 4 on selling one pack, his

SP = Rs (x+4)

Let us consider the the cost of 1 pack of brown bread be Rs y.

As he suffers a loss of 6 on selling one pack, his

SP = Rs (y-6)

On Monday, she sold 26 packs of white bread.

Total CP = Rs 26x

Total SP = Rs 26(x+4)

Since SP>CP, she earns a profit.

Profit value = Rs [26x+104-26x]

= Rs 104

But overall she suffers Rs 100 loss.

So, value of loss on second transaction = Rs (104+100)

= Rs 204 loss .

She also sold some packs of brown bread too due to which her overall transaction had a loss of 100.

Let she sell 'z' packs of brown bread.

Total CP = Rs (zy)

Total SP =Rs z(y-6) = Rs (zy-6z)

As, SP<CP, she incurs a loss on this transaction.

Loss value = Rs (zy-zy+6z)

= Rs 6z

This is equal to Rs 204.

So, 6z = 204

=> z = 204/6

=> z = 34

So the Baker had bought 34 packets of brown bread on Monday.