Explanation

• Price of 1 packet of biscuits = 500 ÷ 50 = Rs. 10

• Price of 1 packet of chips = 1000 ÷ 25 = Rs. 40

Now compare:
1 packet of chips (Rs. 40) = 4 packets of biscuits (Rs. 10 × 4 = 40)

Explanation

Cost Price (CP) = Rs. 5000  

Selling Price (SP) = Rs. 4000  

Loss = CP − SP = 5000 − 4000 = Rs. 1000

Loss % = (Loss / CP) × 100  

= (1000 / 5000) × 100  

= 20%

Explanation

Investment details:

A = Rs. 20,000 for 24 months

B = Rs. 15,000 for 24 months

C = Rs. 20,000 for 18 months (joined after 6 months)

Now calculate capital × time for each:

A → 20,000 × 24 = 480,000

B → 15,000 × 24 = 360,000

C → 20,000 × 18 = 360,000

Ratio of their investments:

A : B : C = 480,000 : 360,000 : 360,000

Simplify → 4 : 3 : 3

Total parts = 4 + 3 + 3 = 10

Total profit = Rs. 25,000

B’s share = 3/10 × 25,000 = 7,500

Explanation

Cost Price (CP) = Rs. 27.50  

Selling Price (SP) = Rs. 28.60

Gain = SP - CP = 28.60 - 27.50 = Rs. 1.10

Gain % = (Gain / CP) × 100  

= (1.10 / 27.50) × 100  

= 4%

Explanation

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs. (39 x 3) = Rs. 117.

Therefore Principal = Rs. (815 - 117) = Rs. 698.

Explanation

Let A and B’s incomes be 3x and 2x, respectively.  

Let their expenses be 5y and 3y, respectively.  

Their savings = Income − Expense = Rs. 1000 for both.

So:

For A:  

3x − 5y = 1000  → (1)

For B:  

2x − 3y = 1000  → (2)

Multiply (1) by 2:  

6x − 10y = 2000

Multiply (2) by 3:  

6x − 9y = 3000

Now subtract:  

(6x − 10y) − (6x − 9y) = 2000 − 3000  

⇒ −y = −1000  

⇒ y = 1000

Now plug y = 1000 into equation (1):  

3x − 5(1000) = 1000  

⇒ 3x = 6000  

⇒ x = 2000

Now find incomes:  

A's income = 3x = 6000  

B's income = 2x = 4000 

Explanation

Profit = 85,503 − 84,000 = 1,503

Profit % = (1,503 ÷ 84,000) × 100 ≈ 1.79%

The girl made 1.79% profit on the jewellery set.

Explanation

SI = P × R × T/100 = 2000 × 10 × 3/100 = 600

Explanation

Total parts = 4 + 3 + 5 = 12
One part = 4800 ÷ 12 = 400

C’s share = 5 × 400 = 2000

Explanation

Original price = Rs. 90  

Discount = 50% of 90 = Rs. 45  

Final price = 90 - 45 = Rs. 45