1. Wheat is cheaper than rice by 20%. By what percent rice costlier than wheat?
Sol. Let the price of 1 unit rice = Rs 100
Then the price of 1 unit of wheat = Rs (100-20) = Rs80
On Rs 80 excess of price of rice = Rs20
On Rs 100 excess of price of rice = (20/80 x 100) = 25. i.e., 25%
2. Rice is costlier than wheat by 20%. By what precent is wheat cheaper than rice?
Sol. Let the price of 1 unit of wheat be Rs100
Then the price of 1 unit of rice = (100+20) = Rs120
On Rs.120, cheapness of wheat = Rs20
On Rs 100 cheapness of wheat = ( 20/120 x 100) = 50/3 % = 16 2/3%
3. If the cost price of 10 articles is equal to the selling price of 8 articles, find the gain or loss percent?
Sol. Let the CP of each article be Re. 1
Then CP of 8 articles = Rs 8
SP of 8 articles = CP of 10 articles = Rs 10.
Gain = SP - CP = 10 - 08 = Rs. 2
Gain = 2/8 x 100 = 25%
4. If the cost price of 5 pens is equal to the SP of 6 pens find gain of loss % ?
Sol. Let the CP of each pen be Rs1
Then CP of 6 pens = Rs. 6.
SP of 6 pens = CP of 5 pens. =Rs5.
Loss = CP – SP = 6 – 5 = Re. 1
Loss% = ( 1/6 x 100) % = 16 2/3 %
5. By selling 33 metrs of cloth, one gains SP of 11 metres. Find the gain %.
Sol. Sp of 33 m — CP of 33m = gain
SP of 33m – CP of 33m = SP of 11m
SP of 33m - SP of 11m = CP of 33m
SP of 22m = CP of 33m
Llet CP of each meter be Rs1
The CP of 22m = Rs22
SP of 22m = CP of 33m = Rs 33
Gain = SP - CP Rs (33-22) = Re. 1
Gain% = 11/22 x 100=50%
Problems for Practice.
1) The SP of 18 books is equal to the CP of 21 books. Find the gain or loss % ?
2) The CP of 12 fans is equal the SP of 16 fans. Find the gain or loss % ?
3) On selling 250 cassettes a man had a gain equal to the SP of 25 cassettes. Find gain or loss %?
4) On selling 36 oranges, a vender loses the SP of 4 oranges. Find loss %?
Hint : CP 36 oranges – SP of 36 oranges = SP of 4 oranges.
Good Luck .
nice blog
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