Explanation

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively

Then, 4x - 3x = 1000

⇒ x = 1000

∴ B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000

Explanation

Total cost of items = Rs. 25

Tax amount = 30 paise = Rs. 0.30

Tax rate = 6%

Let's find the cost of the taxable items:

Tax amount = 6% of taxable items

0.30 = (6/100) × taxable items

Taxable items = 0.30 × (100/6) = Rs. 5

Now, let's find the cost of the tax-free items:

Cost of tax-free items = Total cost - Taxable items - Tax amount

= 25 - 5 - 0.30

= Rs. 19.70

Explanation

Rebate = 6%of Rs.6650 = 399

=6650 x 6 / 100

=Rs.399

Amount after rebate = 6251

Sales tax=10%of 6251

=6251 x 10/100

=Rs.625.10

Final amount=Rs .(6251 + 625.10)

= Rs.6876.10

Explanation

Total percent increase=Initial populationFinal population−Initial population​×100

Increased in 10 years =262,500 − 175,000 =87,500

Increase% = 87,500 / 175,000×100 =50

Average percent increase=Number of yearsTotal percent increase​

One year percentage = 50 x 10/100 = 5%

Explanation

Explanation

Let's denote the daily earnings of A, B, and C as a, b, and c respectively.

We are given:

a + b + c = 150 ... (1)

a + c = 94 ... (2)

b + c = 76 ... (3)

Now, add equations (2) and (3):

(a + c) + (b + c) = 94 + 76

a + b + 2c = 170

Now, subtract equation (1) from this:

(a + b + 2c) - (a + b + c) = 170 - 150

c = 20

Explanation

If A completes a work in 1 day, B completes the same work in 3 days

Hence, if the difference is 2 days, B can complete the work in 3 days

=> if the difference is 60 days, B can complete the work in 90 days

=> Amount of work B can do in 1 day= 1/90

Amount of work A can do in 1 day = 3 × (1/90) = 1/30

Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45

=> A and B together can do the work in 45/2 days = 22 ½ days

Explanation

Work done by P in 1 day = 1/15
Work done by Q in 1 day = 1/10
Work done by P and Q in 1 day = 1/15 + 1/10 = 1/6
Work done by P and Q in 2 days = 2 × (1/6) = 1/3
Remaining work = 1 – 1/3 = 2/3
Time taken by P to complete the remaining work 2/3 = (2/3) / (1/15) = 10 days
Total time taken = 2 + 10 = 12 days

Explanation

Given condition:

40% of X is 190 more than 20% of 650

Mathematically,

(40/100) × X = (20/100) × 650 + 190

0.4X = 130 + 190

0.4X = 320

X = 320 / 0.4

X = 800

Explanation

40 is subtracted from 60% of a number, the result is 50

(60/100) * X – 40 = 50

6X = 900 

X = 150