Find Profit & Cost 7
Solution / āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨
Cost Price (CP) / āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ (CP) = âš500
Selling Price (SP) / āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ (SP) = âš600
1st: Find Profit / āĻ˛āĻžāĻ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻ
Profit = SP − CP (āĻ˛āĻžāĻ = āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ − āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯)
= âš100
2nd: Find Profit Percentage / āĻ˛āĻžāĻā§° āĻļāĻ¤āĻžāĻāĻļ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻ
Profit % = (Profit ÷ CP) × 100 [āĻ˛āĻžāĻ % = (āĻ˛āĻžāĻ ÷ āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯) × 100]
= 20%
- Profit / āĻ˛āĻžāĻ = âš100
- Profit Percentage / āĻ˛āĻžāĻā§° āĻļāĻ¤āĻžāĻāĻļ = 20%
Shortcut / āĻāĻŽā§ āĻā§āĻļāĻ˛
- Profit = SP − CP (āĻ˛āĻžāĻ = āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ − āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯)
- Profit % = (Profit ÷ CP) × 100 (āĻ˛āĻžāĻ % = (āĻ˛āĻžāĻ ÷ āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯) × 100)
Here, âš100 is 1/5 of âš500, so the profit percentage is 20%.
āĻāĻ¯āĻŧāĻžāĻ¤ âš100, âš500-ā§° 1/5 āĻ āĻāĻļāĨ¤ āĻ¸ā§āĻ¯āĻŧā§ āĻ˛āĻžāĻā§° āĻļāĻ¤āĻžāĻāĻļ = 20%āĨ¤
Q: A bicycle was bought for âš4,000 and sold for âš3,600. Find the loss and the loss percentage. āĻāĻāĻ¨ āĻāĻžāĻāĻā§āĻ˛ âš4,000 āĻāĻāĻžāĻ¤ āĻā§ā§°āĻ¯āĻŧ āĻā§°āĻž āĻšā§āĻāĻŋāĻ˛ āĻā§°ā§ âš3,600 āĻāĻāĻžāĻ¤ āĻŦāĻŋāĻā§ā§°ā§ āĻā§°āĻž āĻšā§āĻāĻŋāĻ˛āĨ¤ āĻ˛ā§āĻāĻāĻžāĻ¨ āĻā§°ā§ āĻ˛ā§āĻāĻāĻžāĻ¨ā§° āĻļāĻ¤āĻžāĻāĻļ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻāĨ¤
Solution / āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨
Cost Price (CP) / āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ (CP) = âš4,000
Selling Price (SP) / āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ (SP) = âš3,600
1st: Find Loss / āĻ˛ā§āĻāĻāĻžāĻ¨ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻ
Loss = CP − SP (āĻ˛ā§āĻāĻāĻžāĻ¨ = āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ − āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯)
= âš4,000 − âš3,600
= âš400
2nd: Find Loss Percentage / āĻ˛ā§āĻāĻāĻžāĻ¨ā§° āĻļāĻ¤āĻžāĻāĻļ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻ
Loss % = (Loss ÷ CP) × 100 [āĻ˛ā§āĻāĻāĻžāĻ¨ % = (āĻ˛ā§āĻāĻāĻžāĻ¨ ÷ āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯) × 100]
= 400 / 4000 × 100 = 10%
Ans / āĻāĻ¤ā§āĻ¤ā§° : Loss / āĻ˛ā§āĻāĻāĻžāĻ¨ = âš400, Loss Percentage / āĻ˛ā§āĻāĻāĻžāĻ¨ā§° āĻļāĻ¤āĻžāĻāĻļ = 10%
Method 1: Fraction Trick / āĻāĻā§āĻ¨āĻžāĻāĻļ āĻā§āĻļāĻ˛
Loss = âš400, CP = âš4,000
âš400 is 1/10 of âš4,000. (âš400 āĻšā§āĻā§ âš4,000-ā§° 1/10 āĻ āĻāĻļāĨ¤)
1/10 = 10%
Ans = āĻ¸ā§āĻ¯āĻŧā§ āĻ˛ā§āĻāĻāĻžāĻ¨ā§° āĻļāĻ¤āĻžāĻāĻļ = 10%āĨ¤
Method 2: Cancel Zeros / āĻļā§āĻ¨ā§āĻ¯ āĻāĻžāĻāĻŋ āĻĻāĻŋāĻ¯āĻŧāĻž
400 / 4000 × 100
Cancel two zeros: 4/40 × 100 = 1/10 × 100 = 10%
Tip / āĻāĻŋāĻĒāĻ : Whenever the loss or profit is a simple fraction of the Cost Price, convert the fraction directly into a percentage. āĻ¯ā§āĻ¤āĻŋāĻ¯āĻŧāĻž āĻ˛āĻžāĻ āĻŦāĻž āĻ˛ā§āĻāĻāĻžāĻ¨ āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ā§° āĻ¸āĻšāĻ āĻāĻā§āĻ¨āĻžāĻāĻļ āĻšāĻ¯āĻŧ, āĻ¤ā§āĻ¤āĻŋāĻ¯āĻŧāĻž āĻ¸ā§āĻ¤ā§ā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻ¨āĻā§°āĻŋ āĻāĻā§āĻ¨āĻžāĻāĻļāĻā§āĻ āĻĒā§āĻ¨ā§ āĻĒā§āĻ¨ā§ āĻļāĻ¤āĻžāĻāĻļāĻ˛ā§ ā§°ā§āĻĒāĻžāĻ¨ā§āĻ¤ā§° āĻā§°āĻāĨ¤
Q. A watch costs âš800. It is sold at a 25% profit. Find the selling price. āĻāĻāĻž āĻāĻĄāĻŧā§ā§° āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ âš800āĨ¤ āĻāĻ¯āĻŧāĻžāĻ 25% āĻ˛āĻžāĻāĻ¤ āĻŦāĻŋāĻā§ā§°ā§ āĻā§°āĻž āĻšā§āĻā§āĨ¤ āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ (SP) āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻāĨ¤
Solution / āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨
Cost Price (CP) / āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ (CP) = âš800
Profit / āĻ˛āĻžāĻ = 25%
1st: Find Profit / āĻ˛āĻžāĻ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻ
Profit = 25% of âš800 (āĻ˛āĻžāĻ = âš800-ā§° 25%)
= 25/100 × 800 = âš200
2nd: Find Selling Price / āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻ
Selling Price = Cost Price + Profit (āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ = āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ + āĻ˛āĻžāĻ)
= âš800 + âš200
= âš1,000
Ans / āĻāĻ¤ā§āĻ¤ā§° : Selling Price (SP) / āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ = âš1,000
Method 1: Percentage Addition / āĻļāĻ¤āĻžāĻāĻļ āĻ¯ā§āĻ āĻā§āĻļāĻ˛
If the profit is 25%, then the selling price is 125% of CP. (āĻ¯āĻĻāĻŋ āĻ˛āĻžāĻ 25% āĻšāĻ¯āĻŧ, āĻ¤ā§āĻ¨ā§āĻ¤ā§ āĻŦāĻŋāĻā§ā§°ā§ āĻŽā§āĻ˛ā§āĻ¯ = āĻā§ā§°āĻ¯āĻŧ āĻŽā§āĻ˛ā§āĻ¯ā§° 125%āĨ¤)
SP = 125 / 100 × 800 = âš1,000
Method 2: Fraction Trick / āĻāĻā§āĻ¨āĻžāĻāĻļ āĻā§āĻļāĻ˛
25% = 1/4
So, find 1/4 of âš800 = âš200.
Add it to the Cost Price: âš800 + âš200 = âš1,000
Tip / āĻāĻŋāĻĒāĻ :
Profit → Add to CP (āĻ˛āĻžāĻ āĻš'āĻ˛ā§ → CP-āĻ¤ āĻ¯ā§āĻ āĻā§°āĻāĨ¤)
Loss → Subtract from CP (āĻ˛ā§āĻāĻāĻžāĻ¨ āĻš'āĻ˛ā§ → CP-ā§° āĻĒā§°āĻž āĻŦāĻŋāĻ¯āĻŧā§āĻ āĻā§°āĻāĨ¤)
@@. Simple Interest (āĻ¸ā§°āĻ˛ āĻ¸ā§āĻ¤)
Q. Find the Simple Interest on âš3,000 at 5% per annum for 2 years. (āĻĒā§ā§°āĻļā§āĻ¨: âš3,000 āĻāĻāĻžā§° āĻāĻĒā§°āĻ¤ āĻŦāĻā§°āĻŋ 5% āĻšāĻžā§°āĻ¤ 2 āĻŦāĻā§°ā§° āĻ¸ā§°āĻ˛ āĻ¸ā§āĻ¤ āĻ¨āĻŋā§°ā§āĻŖāĻ¯āĻŧ āĻā§°āĻāĨ¤)
Options / āĻŦāĻŋāĻāĻ˛ā§āĻĒ: (a) âš250 (b) âš300 (c) âš350 (d) âš400
Ans / āĻāĻ¤ā§āĻ¤ā§°: (b) âš300
Solution / āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨
ormula (āĻ¸ā§āĻ¤ā§ā§°:): SI = P × R × T / 100
= 3000 × 5 × 2 / 100 = âš300
Simple Interest (āĻ¸ā§°āĻ˛ āĻ¸ā§āĻ¤) = âš300
Shortcut Trick / āĻāĻŽā§ āĻā§āĻļāĻ˛
@@. GST (āĻāĻŋāĻāĻāĻāĻŋ)