Umesh and Kapil donated ₹750 and ₹975 respectively. The ratio of the amount of donation by Umesh to that by Kapil is:

Correct option is B

Given:

Umesh donated ₹750.

Kapil donated ₹975.

Solution:

Ratio = $$\frac{\text{Amount donated by Umesh }}{\text{ Amount donated by Kapil}}$$​​

Ratio =$$\frac{750 }{975}$$​​

Now, let's simplify the fraction by finding the greatest common divisor (GCD) of 750 and 975.

750 = 2 × 3 × 5³

975 = 3 × 5² × 13

The GCD of 750 and 975 is 3 × 5² = 75.

Now, divide both the numerator and the denominator by the GCD:

Ratio = $$\frac{\frac{750 }{ 75}}{\frac{975 }{ 75}}$$​​

Ratio =$$\frac{10}{13}$$​​

Therefore, the ratio of the amount of donation by Umesh to that by Kapil is 10:13.