Question

by selling an article for 1440 man losses 10%.how much does he gain or lose if he charged Rs1728​

Answer 1

■ GIVEN:

• LOSS% WHEN THE ARTICLE IS SOLD FOR Rs.1440 IS 10%

■ TO FIND:

• GAIN% OR LOSS% WHEN THE ARTICLE IS SOLD FOR Rs.1728

■ SOLUTION:

○ CASE-I :

SELLING PRICE (SP) = Rs.1440

COST PRICE (CP) = (CP)

LOSS% = 10%

=> (LOSS × 100) /CP = 10

=> [(CP) - (SP) ] × 100 = 10(CP)

=> [ (CP) - 1440 ] = (CP)/10

=> 10CP - 14400 = CP

=> 9CP = 14400

=> CP = 14400/9 = Rs.1600

SO COST PRICE (CP) OF THE ARTICLE IS Rs.1600

○ CASE - II :

SELLING PRICE (SP) = Rs.1728

COST PRICE (CP) = Rs.1600

HERE (SP) > (CP)

SO THERE MUST BE A GAIN

=> GAIN = (SP) - (CP) = Rs.1728 - Rs.1600 = Rs.128

∴ GAIN% = GAIN × 100/ CP = 12800 / 1600 = 8%

■ FORMULAS USED :

$i)gain = sp \: - cp \\ \\ ii) \: gain\% = \frac{gain \times 100}{cp} \\ \\ iii) \: loss = cp - sp \\ \\ iv) \: loss\% = \frac{loss \times 100}{cp}$

HOPE IT HELPS !!!!