Question

A shopkeeper sold two watches for Rs. 920 each. On one watch he
gained 15% and on the other he lost 60%. Find his profit or loss percent.​

Answer 1

Step-by-step explanation:

sp of 1 St watch = 920

gain = 15%

cp = sp × 100/ gain + 100

cp = 920 × 100/15 + 100

cp = 920 × 100/115

cp = 800

sp of 2nd watch = 920

loss = 60%

cp = sp × 100/loss - 100

cp = 920 × 100/60-100

cp = 920 × 100/40

cp = 2300

Answer 2

★Given:-

• Selling price of two watches is Rs 920 each.
• On one watch he gained 15%
• On second watch he lost 60%.

★To Find:

• His profit or loss percent.

★Solution: 

Using the formulas :

★ C.P = 100/ (100 + Profit %) × S.P

★ C.P = 100/ (100 – Loss % ) × S.P 

Given that he gained 15% on the first watch.Therefore,

C.P of first watch:-

➟ 100/(100 + 15) × 920

➟ 100/115 × 920

➟ 92000/115

➟ 800

Given that he lost 60% on another watch.Therefore,

C.P of second watch:-

➟ 100/(100 – 60) × 920

➟ 100/40 × 920

➟ 92000/40

➟ 2300

Total C.P = 800 + 2300

= Rs 3100

Total S.P = 920 + 920

= Rs 1840

We can see,

• C.P > S.P

Hence,he suffered a loss.

Using the formula,

★Loss = C.P - S.P

Putting values,

Loss = 3100 – 1840

Loss = Rs 1260

★Loss % = Loss / C.P × 100★

~ Loss % = 1260/3100 × 100

= 126000/3100

= 40.64%

Hence , his loss percent is 40.64%.

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