Question

By selling 5 bananas a rupees a man lost 20%.if he had 12 dozen bananas with him what was the c.p.and s.p. of the bananas

Answer 1

Given:

By selling 5 bananas a rupees a man lost 20%.

If he had 12 dozen bananas with him

To find:

What was the c.p.and s.p. of the bananas?

Solution:

S.P. of 5 bananas = Re. 1

So, S.P. of 1 banana = Rs. $\frac{1}{5}$

∴ C.P. of 1 banana is,

=  $\frac{100}{100 - Loss\%} \times S.P.$

= $\frac{100}{100 - 20} \times \frac{1}{5}$

= $\frac{100}{80} \times \frac{1}{5}$

= $\frac{1}{4}$

We know,

$\boxed{\bold{1 \:dozen = 12\: bananas}}$

∴ 12 dozen bananas = 12 × 12 = 144 bananas

Now,

C.P. of 144 bananas = C.P. of 1 banana × 144 = $\frac{1}{4} \times 144 = Rs. \: 36$

and

S.P. of 144 bananas = S.P. of 1 banana × 144 = $\frac{1}{5} \times 144 = Rs. \: 28.8$

Thus, the C.P. of the bananas is Rs. 36 and the S.P. of the bananas is Rs. 28.8.

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Answer 2

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