Question

ashima sold a watch for ₹1350 and suffered a loss of 10%. a)find the cp of the watch. b) find her gain% if she sells the watch for₹1800

Answer 1

The CP of the watch is ₹ 1500 and her gain% is 20% if Ashima sells the watch for ₹1800.

Given:

(a) SP (Selling price) of the watch = ₹ 1350

loss% = 10%

(b) SP of the watch = ₹ 1800

To find:

The CP of the watch and her gain%

Formula used:

$C . P &= \frac{S . P \ \times \ 100}{100 \ -\text { loss } \%} \\\\\text { Gain } \% &= \frac{S . P\ -\ C . P}{C . P} \times 100 \%$

Here, SP = Selling price and  CP = Cost price

Solution:

Step1: Find the CP of the watch:

SP of the watch = ₹ 1350

$C . P &= \frac{S . P \ \times \ 100}{100 \ -\text { loss } \%}$

$&CP =\frac{1350 \times 100}{100-10} \\\\&CP =\frac{135000}{90} \\\\&CP =1500 \\\\\end{aligned}$

CP (Cost price) of the watch is  ₹1500

Step2: Find  gain%:

If SP of the watch = ₹1800 and CP of the watch is  ₹1500

${ Gain } \% &= \frac{S . P\ -\ C . P}{C . P} \times 100 \%$

$Gain \% =\frac{1800 \ -\ 1500}{1500} \times 100 \% \\\\Gain \%=\frac{300}{15} \% \\\\\Gain \% =20 \%$

Gain percent = 20 %.

Hence CP (Cost price) of the watch is  ₹1500 and the gain percent is 20 %.

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