Q.21 A sold a watch at 10% profit. If he
bought if at 10% less and sold it for Rs.15
more, he would have gained 25%. Find the
cost price of watch.
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Price of watch is 45 he sold it 60 rupees he gain 25%
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The cost price of the watch is Rs 120.
Let cost price of the watch be Rs x.
He sells it a profit of 10%.
So, SP = (100+profit)% of CP
= (100+10)% of Rs x
= Rs 1.1x
When CP was 10% less, that is 90% of x = Rs 0.9x
SP = Rs 15 more.
So, SP = Rs 15 + Previous CP
= Rs (15 + x)
Profit = SP-CP = Rs (15+x - 0.9x) = Rs (0.1x + 15)
Profit% = [Profit/CP]×100%
= [(0.1x + 15)/0.9x]×100%
Given this is equal to 25%
So, [(0.1x + 15)/0.9x]×100 = 25
⇒0.9x = 4[0.1x + 15]
⇒0.9x = 0.4x + 60
⇒0.5x = 60
⇒x = 60×0.5 = Rs 120
This is the cost price.
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