Question

PROFIT AND LOSS
Q 1) cost price of air article is 90% of its selling price . find his profit percent
Q 2) a man sold an article for rs. 750 and gained one ninth of its cost price. find the c.p and gain percent earned by the man
Q 3) if the c.p of 15 tables be equal to the s.p of 20 tables ; find the loss percent.
Q 4) on selling 250 articles a man had a gain equal to the s.p of 25 articles . find the gain percent
Q 5) toffees are bought at the rate of 6 for a rupee and sold at 5 for a rupee. find the gain percentage.

Answer 1

CP = 90/100 * SP
Profit % = (SP - CP)/CP * 100 = [ SP/CP - 1 ] * 100
             = [ 100/90 - 1 ] * 100 = 11.11 %
=============
SP = Rs 750
Gain = SP - CP = CP/9
SP = CP (1+1/9)=10*CP/9
     = Rs 750  =>    CP = Rs 9*75
Gain % = Rs 75/(9*75) * 100 = 11.11%
==========================
15 * CP = SP * 20 = (CP - Loss) * 20
5 CP = 20 * Loss
Loss = CP/4
Loss % = CP/4 )/CP * 100 = 25%
=============================
250 * (SP - CP) = total gain = 25 SP
9 SP = 10 CP
Gain % =  (SP - CP)/CP * 100 = [ SP/CP -1 ] * 100
             = 100/9 %
============================
Gain in selling one toffee = SP  - CP  = 1/5 - 1/6 = 1/30
gain % =  (1/30) / (1/6) * 100 = 20%

Answer 2

Step-by-step explanation:

CP = 90/100 * SP

Profit % = (SP - CP)/CP * 100 = [ SP/CP - 1] =

100

= [ 100/90 - 1]* 100 = 11.11 %

SP = Rs 750 Gain = SP - CP = CP/9

SP = CP (1+1/9)=10*CP/9

= Rs 750 => CP = Rs 9*75 Gain % = Rs 75/(9*75) * 100 = 11.11%

15 * CP = SP * 20 = (CP - Loss) * 20

5 CP = 20 * Loss

Loss = CP/4

Loss % = CP/4 )/CP * 100 = 25% = =

250 * (SP - CP) = total gain = 25 SP

9 SP = 10 CP

Gain % = (SP - CP)/CP * 100 =[SP/CP -1] = * 100

= 100/9 %

Gain in selling one toffee = SP - CP = 1/5

- 1/6 = 1/30

gain % = (1/30) / (1/6) * 100 = 20%