Question

5.
C
A's income is 35% more than B and B's income is 20% less than C. If C's income is Rs. 2500,
A's income.
1) Rs. 2500
2) Rs. 2800
3) Rs. 2200
4) Rs. 2700
​

Answer 1

Answer :-

• Option 4 is correct.
• A's income = Rs 2700.

Given :-

• A's income is 35% more than B and B's income is 20% less than C.
• C's income is Rs 2500.

To find :-

• A's income.

Step-by-step explanation :-

Detailed explanation of the solution :-

Let's understand!

• As given in the question, A's income is 35% more than B and B's income is 20% less than C. It's given that C's income is Rs 2500. We have to find the income of A. For this, we will first find out B's income by finding 20% of C's income. Then we will find out A's income by finding 35% of B's income. Let's solve the question step-by-step.

Calculations :-

All the calculations are given below :-

To find out B's income :-

B's income is 20% less than C's income.

C's income = Rs 2500.

So, we have to find out 20% of Rs 2500 and then subtract it from C's income to find B's income.

$\sf20\% \: of \: 2500$

Converting 20% into fraction,

$\sf\dfrac{20}{1 \!\!\!\not0 \!\!\!\not0} \times 25 \!\!\!\not0 \!\!\!\not0$

Reducing the numbers,

$\sf\dfrac{20}{1} \times 25$

Now let's multiply the remaining numbers.

$\sf20 \times 25$

Multiplying,

$\sf\Rightarrow500.$

20% of C's income = Rs 500.

Therefore, B's income = Rs 2500 - Rs 500 = Rs 2000.

To find out A's income :-

Now, to find out A's income, we have to find 35% of Rs 2000 and then add it to B's income for the answer.

$\sf35\% \: of \: 2000$

Converting 35% to fraction,

$\sf\dfrac{35}{1 \!\!\!\not0 \!\!\!\not0} \times 20 \!\!\!\not0 \!\!\!\not0$

Reducing the numbers,

$\sf\dfrac{35}{1} \times 20$

Now let's multiply the remaining numbers.

$\sf35 \times 20$

Multiplying,

$\sf\Rightarrow700.$

35% of B's income = Rs 700.

Therefore, A's income = Rs 2000 + Rs 700 = Rs 2700.

Thus, option 4 is the correct one.