Mu Sigma Profit & Loss Quiz-1

Supose x is bank deposit part of salery y. Then
1/2 + 1/4 + 1/5 + x = 1 then x= 1/20
hence y\'s 20 part is 50.
So y/20 =50
then salery y=1000

We have Principal amount = p

Rate of Interest per annum = 10%

Time = 1 year

We know that, formula for simple interest:

S.I.=P×R×T/100

Where,

S.I. = Simple Interest

P= principal

T = Time

⇒ SI = p × 10 ×1/100

⇒ SI = 0.1p

FOR COMPOUND INTEREST

We know the formula for compound interest-

⇒CI=[P{(1+R/100)^T−1}]

Where,

CI = Compound interest

P = Principal

R = Rate of interest

T = Time period

We have biannual interest, hence we have T = 2 and R = 10/2 = 5% pa

⇒CI = p(1 + 5/100)2 – p

⇒CI = 1.1025p – p

⇒CI = 0.1025p

WE have CI – SI = 25

⇒0.1025p – 0.1p = 25

⇒p(0.1025 – 0.1) = 25

⇒p × 0.0025 = 25

⇒p = 25/0.0025

⇒p = 10,000

Let the Marked price of the object is Rs.100

Given that company gives 25% discount, the object is sold at 75% price = 0.75 × 100 = Rs.75

∵ Rs.75 fetches 25% profit, this implies 25/100 = (75 – Cost)/Cost [Cost is cost incurred by company]

[From percentage gain formula, Percentage profit = ((Selling price – cost)/Cost) × 100]

0.25 × cost = 75 – cost

⇒ Cost = 75/1.25

⇒ Cost = Rs.60

Now the company gives only 10% discount ⇒ Selling price = 0.90 × 100 = Rs.90

Profit made = Rs.90 – Rs.60 = Rs.30

Profit Percentage = (30/60) × 100 = 50%

Say P is the total profit and 5% of P goes to charity.

⇒ 95% of P is to be shared between A and B in the ratio 3 : 2

⇒ A’s share of profit is 3/5 of 95% of P

⇒ 855 = (3/5) × 0.95 × P

⇒ P = (855 × 5) ÷ (3 × 0.95) = Rs.1500

Given that owner charges 22% more than cost price

⇒ Selling price = 1.22 × Cost price

Given Selling price = 10980 and we need to find the cost price

∴ 10980 = 1.22 × Cost price

⇒ Cost price = 10980/1.22 = Rs.9000

Given that owner charges 22% more than cost price

⇒ Selling price = 1.22 × Cost price

Given Selling price = 10980 and we need to find the cost price

∴ 10980 = 1.22 × Cost price

⇒ Cost price = 10980/1.22 = Rs.9000

10 hens are purchased  for    _67.92_
let the missing digits be  = a and b respectively.
total cost of 10 hens =  C = 100 * a + 67.92 + b/1000

cost of one hen = C/10  = 10 a +6.792 + b/10,000
= a6.792b
or    a6.79   rounded up to 2nd decimal place.
a is 1 or 2 or 3 ....9..

the cost of a hen is 6.79 or 16.79 or 26.79 or  .....  96.79

Ratio of their investments = 120000 : 135000 : 150000 = 8 : 9 : 10
Share of Pavan = 10/27× 56700 = 21,000

Price per 1 kg = 420/70= Rs.6.
Profit per 1 kg = Rs.6.5 – Rs.6 = Rs.0.5
Profit for 70 kg = 0.5 × 70 = Rs.35
Gain % = 35/420× 100= 8.33% = 8 1/3

We know that SP − CP = Profit
⇒300SP - 300CP = 60SP
⇒240SP = 300CP
⇒ SP/CP=300/240= 5/4

Let SP = 5, and CP = 4
So profit percentage = 1/4×100=25%