Twelve percent of Kaushal's monthly salary is equal to sixteen percent of Nandini's monthly salary. Sanal's monthly salary is half that of Nandini's. If Sonal's annual salary is Rs. 1.08 lacs, what is Kaushal's monthly salary ?
Correct Answer: Rs. 24000
Sonal's annual salary = Rs. 108000
∴ Sonal's monthly salary
= Rs. $$\left( {\frac{{108000}}{{12}}} \right)$$
= Rs. 9000
Nandini's monthely salary
= Rs. (9000 × 2)
= Rs. 18000
Let Kaushal's monthly salary be Rs. x
Then,
12% of x = 16% of 18000
⇒ $$\frac{{12}}{{100}}$$x = $$\left( {\frac{{16}}{{100}} \times 18000} \right)$$
⇒ $$\frac{{12}}{{100}}$$x = 2880
⇒ x = $$\left( {\frac{{2880 × 100}}{{12}}} \right)$$
⇒ x = 24000
∴ Sonal's monthly salary
= Rs. $$\left( {\frac{{108000}}{{12}}} \right)$$
= Rs. 9000
Nandini's monthely salary
= Rs. (9000 × 2)
= Rs. 18000
Let Kaushal's monthly salary be Rs. x
Then,
12% of x = 16% of 18000
⇒ $$\frac{{12}}{{100}}$$x = $$\left( {\frac{{16}}{{100}} \times 18000} \right)$$
⇒ $$\frac{{12}}{{100}}$$x = 2880
⇒ x = $$\left( {\frac{{2880 × 100}}{{12}}} \right)$$
⇒ x = 24000